100 results found for "degree-check" in Class 10.
यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?
If non-zero polynomial (p(x)) has degree (6) and (q(x)) has degree (3), what will be the degree of (p(x)q(x))?
#degree
#product
#polynomial
A (3)
B (6)
C (9)
D (18)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.
Step 2
Why this answer is correct
The correct answer is C. (9). In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (6+3=9)। गुणन में उच्चतम घातों का गुणन देखें।
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यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?
If the degree of (p(x)) is (5) and the degree of (q(x)) is (2), what is the degree of non-zero (p(x)q(x))?
#degree
#product
#polynomial
A (3)
B (5)
C (7)
D (10)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.
Step 2
Why this answer is correct
The correct answer is C. (7). In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (5+2=7)। गुणन में घातों का योग याद रखें।
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यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?
If the degree of (p(x)) is (4) and the degree of (q(x)) is (3), what will generally be the degree of (p(x)q(x))?
#degree
#product
#polynomial
A (1)
B (7)
C (12)
D (4)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.
Step 2
Why this answer is correct
The correct answer is B. (7). In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (4+3=7)। गुणन में घातों का योग याद रखें।
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एक छात्र \(x^2+2x+1\) की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?
A student says the degree of \(x^2+2x+1\) is (3) because it has (3) terms. What is the correct degree?
#polynomials
#common-mistake
#degree
#easy
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.
Step 2
Why this answer is correct
The correct answer is B. (2). Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.
Step 3
Exam Tip
घात पदों की संख्या से नहीं, सबसे बड़ी घात (2) से तय होती है। यह सामान्य गलती परीक्षा में न करें।
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यदि (p(x)=(k-3)x-5 +2x-3 -x+9) की घात (3) है, तो (k) क्या है?
If (p(x)=(k-3)x-5 +2x-3 -x+9) has degree (3), what is (k)?
#degree
#parameter
#polynomial
A (3)
B (0)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
For degree (3), the coefficient of \(x^5\) must be (0). Thus (k-3=0) and (k=3).
Step 2
Why this answer is correct
The correct answer is A. (3). For degree (3), the coefficient of \(x^5\) must be (0). Thus (k-3=0) and (k=3).
Step 3
Exam Tip
घात (3) होने के लिए \(x^5\) का गुणांक (0) होना चाहिए। इसलिए (k-3=0) और (k=3)।
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यदि (p(x)=mx-5 +(m-4 )x-4 +3x-2 +1) की घात (4) है, तो (m) क्या है?
If the degree of (p(x)=mx-5 +(m-4 )x-4 +3x-2 +1) is (4), what is (m)?
#degree
#parameter
#conditions
A (0)
B (2)
C (4)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. For (m=0), (m-4 =-4).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. For (m=0), (m-4 =-4).
Step 3
Exam Tip
घात (4) के लिए \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (m=0) पर (m-4 =-4) है।
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यदि (p(x)=ax-5 +bx-4 +cx-3 +d) में (a=0), \(b\ne0\) और \(c\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0), \(b\ne0\), and \(c\ne0\) in (p(x)=ax-5 +bx-4 +cx-3 +d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (3)
B (4)
C (5)
D निर्भर नहीं / Not dependent
Explanation opens after your attempt
Step 1
Concept
Since (a=0), the \(x^5\)-term vanishes, and since \(b\ne0\), the \(x^4\)-term remains. So the degree is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). Since (a=0), the \(x^5\)-term vanishes, and since \(b\ne0\), the \(x^4\)-term remains. So the degree is (4).
Step 3
Exam Tip
(a=0) से \(x^5\) पद हट जाता है और \(b\ne0\) से \(x^4\) पद बचता है। इसलिए घात (4) है।
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(p(x)=6x-5 -4x-2 +1) और (q(x)=-6x-5 +3x-4 +x-9) के योग की घात क्या है?
What is the degree of the sum of (p(x)=6x-5 -4x-2 +1) and (q(x)=-6x-5 +3x-4 +x-9)?
#degree
#cancellation
#addition
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 2
Why this answer is correct
The correct answer is C. (4). The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 3
Exam Tip
\(x^5\) के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।
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यदि (p(x)=(a-1)x-6 +(a+2)x-4 -5x+7) की घात (4) है, तो (a) क्या होगा?
If the degree of (p(x)=(a-1)x-6 +(a+2)x-4 -5x+7) is (4), what will (a) be?
#degree
#parameter
#polynomial
A (-2)
B (1)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (a=1).
Step 2
Why this answer is correct
The correct answer is B. (1). For degree (4), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (a=1).
Step 3
Exam Tip
घात (4) के लिए \(x^6\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (a=1) पर दोनों शर्तें पूरी होती हैं।
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किस मान के लिए (p(x)=(m-2 )x-4 +3x-2 +x+1) की घात (2) से अधिक नहीं होगी?
For which value will (p(x)=(m-2 )x-4 +3x-2 +x+1) have degree not more than (2)?
#degree
#parameter
#polynomial
A (m=2)
B (m=0)
C (m=1)
D (m=-2)
Explanation opens after your attempt
Step 1
Concept
To make the degree not more than (2), the coefficient of \(x^4\) must be (0), so (m-2 =0). Degree reduces only when the highest term vanishes.
Step 2
Why this answer is correct
The correct answer is A. (m=2). To make the degree not more than (2), the coefficient of \(x^4\) must be (0), so (m-2 =0). Degree reduces only when the highest term vanishes.
Step 3
Exam Tip
घात (2) से अधिक न हो इसके लिए \(x^4\) का गुणांक (0) चाहिए, अतः (m-2 =0)। उच्चतम पद हटाकर ही घात घटती है।
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यदि (p(x)=x-4 -5x-2 +4) है, तो (p(x)) का घात कितना है?
If (p(x)=x-4 -5x-2 +4), what is the degree of (p(x))?
#degree
#polynomial
#one-variable
A (4)
B (2)
C (5)
D (0)
Explanation opens after your attempt
Step 1
Concept
The highest power is \(x^4\), so the degree is (4). Terms with zero coefficients do not affect the degree.
Step 2
Why this answer is correct
The correct answer is A. (4). The highest power is \(x^4\), so the degree is (4). Terms with zero coefficients do not affect the degree.
Step 3
Exam Tip
सबसे बड़ी घात \(x^4\) है, इसलिए घात (4) है। शून्य गुणांक वाले पदों को घात तय करने में नहीं गिनते।
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यदि (p(x)=mx-4 +(m+2)x-3 +5x+1) की घात (3) है, तो (m) क्या है?
If the degree of (p(x)=mx-4 +(m+2)x-3 +5x+1) is (3), what is (m)?
#degree
#parameter
#conditions
A (-2)
B (0)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (3), the coefficient of \(x^4\) must be (0) and the coefficient of \(x^3\) must be non-zero. For (m=0), (m+2=2).
Step 2
Why this answer is correct
The correct answer is B. (0). For degree (3), the coefficient of \(x^4\) must be (0) and the coefficient of \(x^3\) must be non-zero. For (m=0), (m+2=2).
Step 3
Exam Tip
घात (3) के लिए \(x^4\) का गुणांक (0) चाहिए और \(x^3\) का गुणांक अशून्य चाहिए। (m=0) पर (m+2=2) है।
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यदि (p(x)=ax-4 +bx-3 +cx-2 +d) में (a=0), (b=0) और \(c\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0), (b=0), and \(c\ne0\) in (p(x)=ax-4 +bx-3 +cx-2 +d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (0)
B (1)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)- and \(x^3\)-terms vanish, but \(c\ne0\) keeps the \(x^2\)-term. So the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). The \(x^4\)- and \(x^3\)-terms vanish, but \(c\ne0\) keeps the \(x^2\)-term. So the degree is (2).
Step 3
Exam Tip
\(x^4\) और \(x^3\) के पद हट जाते हैं, लेकिन \(c\ne0\) से \(x^2\) पद बचता है। इसलिए घात (2) है।
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(p(x)=5x-4 -2x-2 +1) और (q(x)=-5x-4 +3x-3 +x-6) के योग की घात क्या है?
What is the degree of the sum of (p(x)=5x-4 -2x-2 +1) and (q(x)=-5x-4 +3x-3 +x-6)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।
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यदि (p(x)=(m+2)x-5 +(m-3 )x-4 +6x-1) की घात (4) है, तो (m) क्या होगा?
If the degree of (p(x)=(m+2)x-5 +(m-3 )x-4 +6x-1) is (4), what is (m)?
#degree
#parameter
#polynomial
A (-2)
B (2)
C (3)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (m=-2).
Step 2
Why this answer is correct
The correct answer is A. (-2). For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (m=-2).
Step 3
Exam Tip
घात (4) के लिए \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (m=-2) पर दोनों शर्तें पूरी होती हैं।
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किस बहुपद की घात (4) है?
Which polynomial has degree (4)?
#polynomials
#degree
#zero_coefficient
#hard
A \(7x^4+0x^5-3x+1\)
B \(0x^6+5x^3-2\)
C \(x^2+x+1\)
D (9)
Explanation opens after your attempt
Correct Answer
A. \(7x^4+0x^5-3x+1\)
Step 1
Concept
The term \(0x^5\) does not affect degree because its coefficient is (0). The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is A. \(7x^4+0x^5-3x+1\). The term \(0x^5\) does not affect degree because its coefficient is (0). The highest non-zero power is (4).
Step 3
Exam Tip
\(0x^5\) पद घात नहीं बढ़ाता क्योंकि उसका गुणांक (0) है। सबसे बड़ा शून्येतर घात (4) है।
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यदि (p(x)=mx-3 +(m-1 )x-2 +2x+1) की घात (2) है, तो (m) क्या है?
If the degree of (p(x)=mx-3 +(m-1 )x-2 +2x+1) is (2), what is (m)?
#degree
#parameter
#conditions
A (0)
B (1)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (2), the coefficient of \(x^3\) must be (0) and the coefficient of \(x^2\) must be non-zero. Both conditions hold when (m=0).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (2), the coefficient of \(x^3\) must be (0) and the coefficient of \(x^2\) must be non-zero. Both conditions hold when (m=0).
Step 3
Exam Tip
घात (2) के लिए \(x^3\) का गुणांक (0) चाहिए और \(x^2\) का गुणांक अशून्य चाहिए। (m=0) पर ये दोनों शर्तें पूरी होती हैं।
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यदि (p(x)=ax-3 +bx-2 +cx+d) में (a=0) और \(b\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0) and \(b\ne0\) in (p(x)=ax-3 +bx-2 +cx+d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
Since (a=0), the \(x^3\)-term vanishes, and since \(b\ne0\), the \(x^2\)-term remains. So the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). Since (a=0), the \(x^3\)-term vanishes, and since \(b\ne0\), the \(x^2\)-term remains. So the degree is (2).
Step 3
Exam Tip
(a=0) होने से \(x^3\) पद हट जाता है और \(b\ne0\) होने से \(x^2\) पद बचता है। इसलिए घात (2) है।
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(p(x)=4x-4 -3x-2 +2) और (q(x)=-4x-4 +5x-3 +x-8) के योग की घात क्या है?
What is the degree of the sum of (p(x)=4x-4 -3x-2 +2) and (q(x)=-4x-4 +5x-3 +x-8)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।
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यदि (p(x)=(a-5)x-5 +2x-3 -7x+4) की घात (3) है, तो (a) क्या होगा?
If the degree of (p(x)=(a-5)x-5 +2x-3 -7x+4) is (3), what is (a)?
#degree
#parameter
#polynomial
A (0)
B (3)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (3), the coefficient of \(x^5\) must be (0), so (a-5=0). First make the highest-degree term vanish.
Step 2
Why this answer is correct
The correct answer is C. (5). For the degree to be (3), the coefficient of \(x^5\) must be (0), so (a-5=0). First make the highest-degree term vanish.
Step 3
Exam Tip
घात (3) होने के लिए \(x^5\) का गुणांक (0) होना चाहिए, इसलिए (a-5=0)। उच्चतम घात वाले पद को पहले शून्य करें।
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यदि (p(x)=(k-4)x-4 +3x-2 -5x+2) की घात (2) है, तो (k) का मान क्या होगा?
If the degree of (p(x)=(k-4)x-4 +3x-2 -5x+2) is (2), what will be the value of (k)?
#degree
#parameter
#polynomial
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (2), the coefficient of \(x^4\) must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.
Step 2
Why this answer is correct
The correct answer is C. (4). For the degree to be (2), the coefficient of \(x^4\) must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.
Step 3
Exam Tip
घात (2) होने के लिए \(x^4\) का गुणांक (0) होना चाहिए, इसलिए (k-4=0) और (k=4)। सबसे बड़ी घात वाले पद का गुणांक पहले जांचें।
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किसी रैखिक बहुपद (mx+n) में \(m\ne0\) हो तो उसकी घात क्या है?
If \(m\ne0\) in a linear polynomial (mx+n), what is its degree?
#linear polynomial
#degree
#general form
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 3
Exam Tip
\(m\ne0\) होने पर (mx) पद मौजूद रहता है और सबसे बड़ी घात (1) होती है। इसलिए घात (1) है।
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(p(x)=0x-5 +7x-3 -2x+1) की घात क्या है?
What is the degree of (p(x)=0x-5 +7x-3 -2x+1)?
#degree
#zero coefficient
#polynomial
A (1)
B (3)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(0x^5\) is (0), so that term is not counted. The highest effective power is (3).
Step 2
Why this answer is correct
The correct answer is B. (3). The coefficient of \(0x^5\) is (0), so that term is not counted. The highest effective power is (3).
Step 3
Exam Tip
\(0x^5\) का गुणांक (0) है इसलिए वह पद नहीं गिना जाएगा। सबसे बड़ी प्रभावी घात (3) है।
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अशून्य अचर बहुपद (p(x)=-18) की घात क्या है?
What is the degree of the non-zero constant polynomial (p(x)=-18)?
#constant polynomial
#degree
#definition
A (0)
B (1)
C (18)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).
Step 3
Exam Tip
अशून्य अचर बहुपद की घात (0) होती है। अचर संख्या का अर्थ घात (0) से जुड़ा है।
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बहुपद (p(x)=11x-6 -4x-3 +x-9) की घात क्या है?
What is the degree of the polynomial (p(x)=11x-6 -4x-3 +x-9)?
#degree
#highest power
#polynomial
A (1)
B (3)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.
Step 3
Exam Tip
सबसे बड़ी घात (6) है इसलिए घात (6) होगी। गुणांक नहीं बल्कि चर की सबसे ऊंची घात देखें।
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कौन सा विकल्प \(2x^3-5x^2+x-4\) की घात और नियत पद को सही बताता है?
Which option correctly gives the degree and constant term of \(2x^3-5x^2+x-4\)?
#degree
#constant-term
#cubic-polynomial
A घात (3), नियत पद (-4) / Degree (3), constant term (-4)
B घात (2), नियत पद (1) / Degree (2), constant term (1)
C घात (1), नियत पद (-5) / Degree (1), constant term (-5)
D घात (4), नियत पद (2) / Degree (4), constant term (2)
Explanation opens after your attempt
Correct Answer
A. घात (3), नियत पद (-4) / Degree (3), constant term (-4)
Step 1
Concept
The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).
Step 2
Why this answer is correct
The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).
Step 3
Exam Tip
सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।
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\(x^2+1\), \(x^3+x\), (5x-2) में सबसे कम घात वाला बहुपद कौन सा है?
Among \(x^2+1\), \(x^3+x\), and (5x-2), which polynomial has the least degree?
#compare-degree
#linear-polynomial
#classification
A \(x^2+1\)
B \(x^3+x\)
C (5x-2)
D तीनों की घात समान है / All three have the same degree
Explanation opens after your attempt
Step 1
Concept
Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (5x-2). Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 3
Exam Tip
इनकी घातें क्रमशः (2), (3) और (1) हैं। सबसे कम घात (1) है।
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यदि किसी गैर-शून्य नियत बहुपद की घात पूछी जाए, तो सही उत्तर क्या होगा?
If the degree of a non-zero constant polynomial is asked, what will be the correct answer?
#constant-polynomial
#degree
#concept
A (0)
B (1)
C परिभाषित नहीं / Not defined
D बहुपद नहीं / Not a polynomial
Explanation opens after your attempt
Step 1
Concept
The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.
Step 3
Exam Tip
गैर-शून्य नियत बहुपद की घात (0) होती है। इसे शून्य बहुपद से अलग रखें।
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किस मान के लिए (p(x)=(a-2)x-3 +4x-2 +1) की घात (2) हो जाएगी?
For which value will (p(x)=(a-2)x-3 +4x-2 +1) have degree (2)?
#degree
#parameter
#highest-power
A (a=0)
B (a=1)
C (a=2)
D (a=4)
Explanation opens after your attempt
Step 1
Concept
For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).
Step 2
Why this answer is correct
The correct answer is C. (a=2). For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).
Step 3
Exam Tip
घात (2) के लिए \(x^3\) का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है।
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यदि (p(x)=ax-2 +3x+5) की घात (1) है, तो (a) का मान क्या होगा?
If (p(x)=ax-2 +3x+5) has degree (1), what will be the value of (a)?
#polynomials
#degree
#parameter
A (0)
B (1)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
For degree (1), the coefficient of \(x^2\) must be (0). Therefore (a=0).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (1), the coefficient of \(x^2\) must be (0). Therefore (a=0).
Step 3
Exam Tip
घात (1) होने के लिए \(x^2\) का गुणांक (0) होना चाहिए। इसलिए (a=0) है।
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यदि (p(x)=(m-2 )x-3 +4x-2 -7) की घात (2) है, तो (m) का मान क्या होगा?
If the degree of (p(x)=(m-2 )x-3 +4x-2 -7) is (2), what will be the value of (m)?
#degree
#parameter
#polynomial
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2 =0) and (m=2). In exams, check the coefficient of the highest power first.
Step 2
Why this answer is correct
The correct answer is B. (2). For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2 =0) and (m=2). In exams, check the coefficient of the highest power first.
Step 3
Exam Tip
घात (2) होने के लिए \(x^3\) का गुणांक (0) होना चाहिए, इसलिए (m-2 =0) और (m=2)। परीक्षा में सबसे ऊंची घात के गुणांक को पहले देखें।
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निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?
Which of the following is a polynomial in (x) with degree (4)?
#degree
#highest-power
#polynomial
A \(x^4-2x+7\)
B \(x^3+4\)
C \(5x^2-1\)
D (9x+6)
Explanation opens after your attempt
Correct Answer
A. \(x^4-2x+7\)
Step 1
Concept
In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.
Step 2
Why this answer is correct
The correct answer is A. \(x^4-2x+7\). In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.
Step 3
Exam Tip
\(x^4-2x+7\) में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।
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किसी रैखिक बहुपद (ax+b) में \(a\ne0\) हो तो उसकी घात क्या है?
If \(a\ne0\) in a linear polynomial (ax+b), what is its degree?
#linear polynomial
#degree
#general form
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 3
Exam Tip
(ax+b) में \(a\ne0\) होने पर (x) की सबसे बड़ी घात (1) है। इसलिए घात (1) होगी।
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\(3x^4+0x^3-2x+5\) की घात क्या है?
What is the degree of \(3x^4+0x^3-2x+5\)?
#degree
#zero coefficient
#polynomial
A (1)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.
Step 2
Why this answer is correct
The correct answer is C. (4). The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.
Step 3
Exam Tip
\(0x^3\) पद प्रभावी नहीं है और सबसे बड़ी अशून्य घात (4) है। शून्य गुणांक वाले पद को नजरअंदाज करें।
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अशून्य अचर बहुपद (p(x)=12) की घात क्या होती है?
What is the degree of the non-zero constant polynomial (p(x)=12)?
#constant polynomial
#degree
#definition
A (0)
B (1)
C (12)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.
Step 3
Exam Tip
अशून्य अचर बहुपद की घात (0) होती है। शून्य बहुपद से इसे अलग रखें।
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बहुपद (p(x)=4x-5 -3x-2 +9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-5 -3x-2 +9)?
#degree
#polynomial
#powers
A (2)
B (3)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). Always check the highest exponent.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). Always check the highest exponent.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। हमेशा सबसे ऊंची घात देखें।
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\(x^5+1\) की घात क्या है?
What is the degree of \(x^5+1\)?
#degree
#highest-power
A (1)
B (2)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). The constant term does not increase the degree.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). The constant term does not increase the degree.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। नियत पद घात को नहीं बढ़ाता।
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निम्न में से किस बहुपद की घात (2) है?
Which polynomial has degree (2)?
#degree-two
#quadratic
A \(x^2+4x\)
B \(x^4+1\)
C (6x+5)
D (3)
Explanation opens after your attempt
Correct Answer
A. \(x^2+4x\)
Step 1
Concept
The highest power in \(x^2+4x\) is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+4x\). The highest power in \(x^2+4x\) is (2). Therefore its degree is (2).
Step 3
Exam Tip
\(x^2+4x\) में सबसे बड़ी घात (2) है। इसलिए इसकी घात (2) है।
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निम्न में से किस बहुपद की घात (1) है?
Which polynomial has degree (1)?
#degree-one
#linear
A \(4x^2+1\)
B (9x-3)
C \(x^3+2\)
D (11)
Explanation opens after your attempt
Step 1
Concept
In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).
Step 2
Why this answer is correct
The correct answer is B. (9x-3). In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).
Step 3
Exam Tip
(9x-3) में (x) की सबसे बड़ी घात (1) है। इसलिए यह घात (1) का बहुपद है।
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शून्य बहुपद (0) की घात के बारे में सही कथन कौन सा है?
Which statement about the degree of the zero polynomial (0) is correct?
#zero-polynomial
#degree
A घात (0) है / Degree is (0)
B घात (1) है / Degree is (1)
C घात परिभाषित नहीं है / Degree is not defined
D घात (2) है / Degree is (2)
Explanation opens after your attempt
Correct Answer
C. घात परिभाषित नहीं है / Degree is not defined
Step 1
Concept
The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.
Step 2
Why this answer is correct
The correct answer is C. घात परिभाषित नहीं है / Degree is not defined. The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.
Step 3
Exam Tip
शून्य बहुपद की घात परिभाषित नहीं होती। इसे गैर-शून्य नियत बहुपद से अलग याद रखें।
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\(6x^4-2x^2+x-8\) की घात क्या है?
What is the degree of \(6x^4-2x^2+x-8\)?
#degree
#highest-power
A (1)
B (2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (4). The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.
Step 3
Exam Tip
सबसे बड़ी घात (4) है इसलिए घात (4) है। पदों की संख्या नहीं, सबसे बड़ी घात महत्वपूर्ण है।
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बहुपद \(7x^3-4x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-4x+9\)?
#degree
#polynomials
#class10
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree is (3). Always check the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree is (3). Always check the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। हमेशा चर की सबसे बड़ी घात देखें।
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यदि किसी बहुपद की घात (3) है, तो उसे क्या कहते हैं?
If a polynomial has degree (3), what is it called?
#polynomials
#cubic
#easy
#degree
A घन बहुपद / Cubic polynomial
B द्विघात बहुपद / Quadratic polynomial
C रैखिक बहुपद / Linear polynomial
D नियत बहुपद / Constant polynomial
Explanation opens after your attempt
Correct Answer
A. घन बहुपद / Cubic polynomial
Step 1
Concept
A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.
Step 2
Why this answer is correct
The correct answer is A. घन बहुपद / Cubic polynomial. A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.
Step 3
Exam Tip
घात (3) वाला बहुपद घन बहुपद कहलाता है। सबसे बड़ी घात ही नाम तय करती है।
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यदि किसी बहुपद की घात (2) है, तो उसे क्या कहते हैं?
If a polynomial has degree (2), what is it called?
#polynomials
#quadratic
#easy
#degree
A रैखिक बहुपद / Linear polynomial
B द्विघात बहुपद / Quadratic polynomial
C घन बहुपद / Cubic polynomial
D शून्य बहुपद / Zero polynomial
Explanation opens after your attempt
Correct Answer
B. द्विघात बहुपद / Quadratic polynomial
Step 1
Concept
A degree (2) polynomial is called quadratic. A non-zero \(x^2\)-term must be present.
Step 2
Why this answer is correct
The correct answer is B. द्विघात बहुपद / Quadratic polynomial. A degree (2) polynomial is called quadratic. A non-zero \(x^2\)-term must be present.
Step 3
Exam Tip
घात (2) वाला बहुपद द्विघात कहलाता है। \(x^2\) का अशून्य पद होना जरूरी है।
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यदि किसी बहुपद की घात (1) है, तो उसे क्या कहते हैं?
If a polynomial has degree (1), what is it called?
#polynomials
#degree
#type
#easy
A नियत बहुपद / Constant polynomial
B रैखिक बहुपद / Linear polynomial
C द्विघात बहुपद / Quadratic polynomial
D घन बहुपद / Cubic polynomial
Explanation opens after your attempt
Correct Answer
B. रैखिक बहुपद / Linear polynomial
Step 1
Concept
A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.
Step 2
Why this answer is correct
The correct answer is B. रैखिक बहुपद / Linear polynomial. A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.
Step 3
Exam Tip
घात (1) वाले बहुपद को रैखिक बहुपद कहते हैं। नाम हमेशा घात से जोड़कर याद करें।
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(p(x)=ax+b) में यदि \(a\ne0\) है, तो इसकी घात क्या होती है?
In (p(x)=ax+b), if \(a\ne0\), what is its degree?
#polynomials
#linear-form
#easy
#degree
A (0)
B (1)
C (2)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.
Step 2
Why this answer is correct
The correct answer is B. (1). When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.
Step 3
Exam Tip
\(a\ne0\) होने पर (x) वाला पद मौजूद है, इसलिए घात (1) है। यही रैखिक बहुपद का रूप है।
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बहुपद \(11x^5-3x^2+8\) की घात क्या है?
What is the degree of \(11x^5-3x^2+8\)?
#polynomials
#degree
#easy
#highest-power
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए घात (5) होगी। पदों की संख्या नहीं बल्कि सबसे बड़ी घात देखें।
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बहुपद (5) की घात क्या है?
What is the degree of the polynomial (5)?
#polynomials
#constant-polynomial
#easy
#degree
A (0)
B (1)
C (5)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 3
Exam Tip
अशून्य नियत बहुपद की घात (0) होती है। याद रखें \(5=5x^0\) माना जा सकता है।
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बहुपद \(7x^3-2x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-2x+9\)?
#polynomials
#degree
#easy
#level48
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। परीक्षा में सबसे बड़े घातांक को पहचानें।
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यदि (p(x)=ax+b) और \(a\neq0\), तो (p(x)) की घात क्या है?
If (p(x)=ax+b) and \(a\neq0\), what is the degree of (p(x))?
#linear_form
#degree
#polynomials
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).
Step 3
Exam Tip
\(a\neq0\) होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है।
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बहुपद \(4x^3-2x^3+x+5\) को सरल करने पर घात क्या होगी?
After simplifying \(4x^3-2x^3+x+5\), what is its degree?
#like_terms
#degree
#simplification
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 3
Exam Tip
समान पद मिलाकर \(2x^3+x+5\) मिलता है। सबसे बड़ी घात (3) है।
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बहुपद \(3x^3+0x^2-2x+5\) की घात क्या है?
What is the degree of \(3x^3+0x^2-2x+5\)?
#degree
#zero_coefficient
#polynomials
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest non-zero power term is \(3x^3\). So the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). The highest non-zero power term is \(3x^3\). So the degree is (3).
Step 3
Exam Tip
सबसे बड़ी शून्य से भिन्न घात वाला पद \(3x^3\) है। इसलिए घात (3) है।
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शून्य बहुपद (p(x)=0) की घात के बारे में सही कथन कौन-सा है?
Which statement is correct about the degree of the zero polynomial (p(x)=0)?
#zero_polynomial
#degree
#concept
A घात (0) है / Degree is (0)
B घात (1) है / Degree is (1)
C घात परिभाषित नहीं है / Degree is undefined
D घात (2) है / Degree is (2)
Explanation opens after your attempt
Correct Answer
C. घात परिभाषित नहीं है / Degree is undefined
Step 1
Concept
The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.
Step 2
Why this answer is correct
The correct answer is C. घात परिभाषित नहीं है / Degree is undefined. The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.
Step 3
Exam Tip
शून्य बहुपद की घात परिभाषित नहीं होती। परीक्षा में इसे स्थिर शून्य से भिन्न बहुपद से अलग रखें।
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स्थिर बहुपद (p(x)=9) की घात क्या है?
What is the degree of the constant polynomial (p(x)=9)?
#constant_polynomial
#degree
#basics
A (0)
B (1)
C (9)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). The number (9) may be written as \(9x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). The number (9) may be written as \(9x^0\).
Step 3
Exam Tip
शून्य से भिन्न स्थिर बहुपद की घात (0) होती है। (9) को \(9x^0\) माना जा सकता है।
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बहुपद (p(x)=4x-3 -2x+9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-3 -2x+9)?
#degree
#polynomials
#one_variable
A (3)
B (2)
C (1)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।
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समीकरण \(x^2+1=0\) की घात क्या है?
What is the degree of \(x^2+1=0\)?
#quadratic-equations
#degree
#constant-term
A (1)
B (2)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) is (2). The constant term does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) is (2). The constant term does not change the degree.
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। स्थिर पद घात को नहीं बदलता।
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समीकरण \(7x^2-4x+9=0\) की घात क्या है?
What is the degree of the equation \(7x^2-4x+9=0\)?
#quadratic-equations
#degree
#easy
A (1)
B (2)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 3
Exam Tip
इस समीकरण में (x) की सबसे बड़ी घात (2) है। घात हमेशा चर की सबसे बड़ी शक्ति से तय होती है।
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\(6x^2-5x+2=0\) की घात क्या है?
What is the degree of \(6x^2-5x+2=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore it is a quadratic equation.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore it is a quadratic equation.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए यह द्विघात समीकरण है।
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\(5x^2+2x-1=0\) की घात क्या है?
What is the degree of \(5x^2+2x-1=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore the equation is quadratic.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।
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यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?
If an equation in (x) has degree (2), what is it called?
#quadratic equations
#definition
#degree
A रैखिक समीकरण / Linear equation
B द्विघात समीकरण / Quadratic equation
C घन समीकरण / Cubic equation
D स्थिर समीकरण / Constant equation
Explanation opens after your attempt
Correct Answer
B. द्विघात समीकरण / Quadratic equation
Step 1
Concept
An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).
Step 2
Why this answer is correct
The correct answer is B. द्विघात समीकरण / Quadratic equation. An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).
Step 3
Exam Tip
घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें।
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एक ग्राफ (x)-अक्ष को तीन बार काटता है। उस बहुपद की न्यूनतम संभावित डिग्री क्या हो सकती है?
A graph cuts the (x)-axis three times. What can be the minimum possible degree of that polynomial?
#degree
#maximum-zeroes
#graph
A (3)
B (2)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).
Step 2
Why this answer is correct
The correct answer is A. (3). The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).
Step 3
Exam Tip
किसी बहुपद के वास्तविक शून्यकों की संख्या उसकी डिग्री से अधिक नहीं हो सकती। तीन कटान के लिए न्यूनतम डिग्री (3) है।
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यदि कोई बहुपद (x)-अक्ष को छह अलग बिंदुओं पर काटता है तो न्यूनतम संभावित घात क्या होगी?
If a polynomial cuts the (x)-axis at six distinct points, what is the minimum possible degree?
#minimum degree
#distinct zeroes
#graph
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is C. (6). For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.
Step 3
Exam Tip
छह अलग वास्तविक शून्यकों के लिए घात कम से कम (6) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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यदि किसी बहुपद का ग्राफ (x)-अक्ष को तीन अलग बिंदुओं पर काटता है, तो बहुपद की न्यूनतम संभावित घात क्या हो सकती है?
If a polynomial graph cuts the (x)-axis at three distinct points, what can be the minimum possible degree of the polynomial?
#degree
#minimum degree
#zeroes
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is C. (3). For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.
Step 3
Exam Tip
तीन अलग वास्तविक शून्यकों के लिए घात कम से कम (3) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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किस रेखा से किसी वस्तु का केंद्र और सममिति जांचना आसान होता है?
Which line makes it easier to check centre and symmetry of an object?
#visual-art
#line
#hard
#class-10
A मध्य रेखा / Centre line
B जिगजैग रेखा / Zigzag line
C सर्पिल रेखा / Spiral line
D बिखरी रेखा / Scattered line
Explanation opens after your attempt
Correct Answer
A. मध्य रेखा / Centre line
Step 1
Concept
Centre line checks proportion and symmetry on both sides. In exams remember its use in face and vessels.
Step 2
Why this answer is correct
The correct answer is A. मध्य रेखा / Centre line. Centre line checks proportion and symmetry on both sides. In exams remember its use in face and vessels.
Step 3
Exam Tip
मध्य रेखा दोनों ओर के अनुपात और सममिति को जांचती है। परीक्षा में चेहरे और पात्र में इसका उपयोग याद रखें।
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यदि कोई चित्र तकनीकी रूप से सही है पर दर्शक पर प्रभाव नहीं छोड़ता तो कौन सी जांच जरूरी है?
If a picture is technically correct but does not leave impact on viewer what check is needed?
#viewer impact
#message
#contrast
A भाव संदेश केंद्र और दृश्य विरोध की संयुक्त जांच / Combined check of mood message focus and visual contrast
B केवल कागज की जांच / Only check paper
C केवल फ्रेम बदलना / Only change frame
D सभी रेखाएं हटाना / Remove all lines
Explanation opens after your attempt
Correct Answer
A. भाव संदेश केंद्र और दृश्य विरोध की संयुक्त जांच / Combined check of mood message focus and visual contrast
Step 1
Concept
Expression is needed along with technical correctness. Exam tip: connect impact with elements.
Step 2
Why this answer is correct
The correct answer is A. भाव संदेश केंद्र और दृश्य विरोध की संयुक्त जांच / Combined check of mood message focus and visual contrast. Expression is needed along with technical correctness. Exam tip: connect impact with elements.
Step 3
Exam Tip
तकनीकी शुद्धता के साथ अभिव्यक्ति भी जरूरी है। परीक्षा में impact को elements से जोड़ें।
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यदि दर्शक अनुभव असुविधाजनक है तो कौन सी संयुक्त जांच उपयोगी है?
If viewer experience is uncomfortable which combined check is useful?
#viewer experience
#visual weight
#contrast
A स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight
B केवल फ्रेम की जांच / Check only frame
C कागज की कीमत / Price of paper
D कलाकार का नाम / Artist name
Explanation opens after your attempt
Correct Answer
A. स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight
Step 1
Concept
Discomfort can be created by many elements. Exam tip: connect viewer response with elements.
Step 2
Why this answer is correct
The correct answer is A. स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight. Discomfort can be created by many elements. Exam tip: connect viewer response with elements.
Step 3
Exam Tip
असुविधा कई तत्वों से बन सकती है। परीक्षा में viewer response को elements से जोड़ें।
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यदि दर्शक अनुभव असुविधाजनक है तो कौन सी संयुक्त जांच सबसे उपयोगी है?
If viewer experience is uncomfortable what combined check is most useful?
#viewer experience
#visual weight
#contrast
A स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight
B केवल फ्रेम की जांच / Check only frame
C कागज की कीमत / Price of paper
D कलाकार का नाम / Artist name
Explanation opens after your attempt
Correct Answer
A. स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight
Step 1
Concept
Discomfort can be created by many elements. Exam tip: connect viewer response with elements.
Step 2
Why this answer is correct
The correct answer is A. स्थान बनावट विरोध और दृश्य भार की जांच / Check space texture contrast and visual weight. Discomfort can be created by many elements. Exam tip: connect viewer response with elements.
Step 3
Exam Tip
असुविधा कई तत्वों से बन सकती है। परीक्षा में viewer response को elements से जोड़ें।
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यदि चित्र में विषय स्पष्ट है पर भाव नहीं बन रहा तो सबसे व्यापक जांच क्या होगी?
If subject is clear but mood is not forming what is the broadest check?
#mood analysis
#combined elements
#visual arts
A रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space
B केवल फ्रेम / Only frame
C कागज का दाम / Price of paper
D शीर्षक की लंबाई / Length of title
Explanation opens after your attempt
Correct Answer
A. रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space
Step 1
Concept
Mood is made by combination of many elements. Exam tip: observe multiple elements in mood analysis.
Step 2
Why this answer is correct
The correct answer is A. रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space. Mood is made by combination of many elements. Exam tip: observe multiple elements in mood analysis.
Step 3
Exam Tip
भाव कई तत्वों के मेल से बनता है। परीक्षा में mood analysis में multiple elements देखें।
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मान संरचना को जांचने के लिए कलाकार रंगीन चित्र को धूसर में क्यों देख सकता है?
Why can an artist view a coloured picture in grey to check value structure?
#value structure
#grayscale
#analysis
A क्योंकि इससे हल्का गहरा संबंध साफ दिखता है / Because light-dark relation becomes clear
B क्योंकि रंग हमेशा गलत हैं / Because colours are always wrong
C क्योंकि धूसर ही एकमात्र रंग है / Because grey is the only colour
D क्योंकि बनावट हट जाती है हमेशा / Because texture always disappears
Explanation opens after your attempt
Correct Answer
A. क्योंकि इससे हल्का गहरा संबंध साफ दिखता है / Because light-dark relation becomes clear
Step 1
Concept
Grey check reveals weakness of value. Exam tip: understand value check as useful method.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि इससे हल्का गहरा संबंध साफ दिखता है / Because light-dark relation becomes clear. Grey check reveals weakness of value. Exam tip: understand value check as useful method.
Step 3
Exam Tip
धूसर जांच मान की कमजोरी दिखाती है। परीक्षा में value check को useful method समझें।
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किसी चित्र में भाव नहीं बन रहा तो सबसे व्यापक जांच कौन सी होगी?
If mood is not forming in a picture what is the broadest check?
#mood analysis
#combined elements
#visual arts
A रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space
B केवल कागज की कीमत / Only paper price
C फ्रेम की चमक / Frame shine
D शीर्षक की लंबाई / Title length
Explanation opens after your attempt
Correct Answer
A. रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space
Step 1
Concept
Mood is created by combined work of many elements. Exam tip: observe multiple elements in mood analysis.
Step 2
Why this answer is correct
The correct answer is A. रेखा रंग मान बनावट और स्थान का संयुक्त प्रभाव / Combined effect of line colour value texture and space. Mood is created by combined work of many elements. Exam tip: observe multiple elements in mood analysis.
Step 3
Exam Tip
भाव कई तत्वों के मिलकर काम करने से बनता है। परीक्षा में mood analysis में multiple elements देखें।
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रूप का प्रकाश तर्क जांचने का सबसे अच्छा तरीका क्या है?
What is the best way to check light logic of form?
#form
#light logic
#shading
A सभी हाइलाइट और छायाओं को एक प्रकाश स्रोत से मिलाना / Match all highlights and shadows to one light source
B केवल रंगों की संख्या गिनना / Count only number of colours
C फ्रेम को मापना / Measure frame
D शीर्षक पढ़ना / Read title
Explanation opens after your attempt
Correct Answer
A. सभी हाइलाइट और छायाओं को एक प्रकाश स्रोत से मिलाना / Match all highlights and shadows to one light source
Step 1
Concept
All shadows become logical with one light source. Exam tip: keep consistent light source.
Step 2
Why this answer is correct
The correct answer is A. सभी हाइलाइट और छायाओं को एक प्रकाश स्रोत से मिलाना / Match all highlights and shadows to one light source. All shadows become logical with one light source. Exam tip: keep consistent light source.
Step 3
Exam Tip
एक प्रकाश स्रोत से सारी छायाएं तार्किक होती हैं। परीक्षा में consistent light source रखें।
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यदि (2, 5, 10, 17) को समांतर श्रेणी कहा जाए, तो सही जांच क्या बताती है?
If (2, 5, 10, 17) is called an arithmetic progression, what does the correct check show?
#arithmetic progression
#common difference
#class 10
A यह समांतर श्रेणी है क्योंकि सभी पद बढ़ रहे हैं / It is an arithmetic progression because all terms increase
B यह समांतर श्रेणी है क्योंकि अंतर धनात्मक हैं / It is an arithmetic progression because differences are positive
C यह समांतर श्रेणी नहीं है क्योंकि अंतर (3,5,7) हैं / It is not an arithmetic progression because the differences are (3,5,7)
D यह समांतर श्रेणी नहीं है क्योंकि पहला पद छोटा है / It is not an arithmetic progression because the first term is small
Explanation opens after your attempt
Correct Answer
C. यह समांतर श्रेणी नहीं है क्योंकि अंतर (3,5,7) हैं / It is not an arithmetic progression because the differences are (3,5,7)
Step 1
Concept
For an arithmetic progression, every consecutive difference must be equal. Here (3,5,7) are not equal.
Step 2
Why this answer is correct
The correct answer is C. यह समांतर श्रेणी नहीं है क्योंकि अंतर (3,5,7) हैं / It is not an arithmetic progression because the differences are (3,5,7). For an arithmetic progression, every consecutive difference must be equal. Here (3,5,7) are not equal.
Step 3
Exam Tip
समांतर श्रेणी के लिए हर लगातार अंतर समान होना चाहिए। यहाँ (3,5,7) समान नहीं हैं।
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निम्न में से कौन सा विकल्प परीक्षा में अपरिमेय संख्या पहचानने की सबसे अच्छी पहली जांच है?
Which option is the best first check for identifying an irrational number in an exam?
#exam tip
#irrational numbers
#class 10
A क्या वह पूर्ण वर्ग के वर्गमूल में बदल रही है / Whether it becomes the square root of a perfect square
B क्या उसमें बड़ा अंक है / Whether it has a large digit
C क्या वह पृष्ठ के बीच में लिखी है / Whether it is written in the middle of the page
D क्या वह केवल धनात्मक है / Whether it is only positive
Explanation opens after your attempt
Correct Answer
A. क्या वह पूर्ण वर्ग के वर्गमूल में बदल रही है / Whether it becomes the square root of a perfect square
Step 1
Concept
In square-root questions first check whether the number inside is a perfect square.
Step 2
Why this answer is correct
A perfect square may give a rational square root while a non-perfect square often gives an irrational value.
Step 3
Exam Tip
Simplifying is the safest first step in identification questions. चरण 1: वर्गमूल वाले प्रश्नों में पहले देखें कि अंदर की संख्या पूर्ण वर्ग है या नहीं। चरण 2: पूर्ण वर्ग हो तो वर्गमूल परिमेय हो सकता है और पूर्ण वर्ग न हो तो अक्सर अपरिमेय होता है। चरण 3: पहचान वाले प्रश्नों में सरल करना सबसे सुरक्षित शुरुआत है।
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यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=-2), (x=0) और (x=3) पर काटता है, तो सबसे कम घात का मोनिक बहुपद कौन-सा है?
If the graph of a polynomial cuts the (x)-axis at (x=-2), (x=0), and (x=3), which is the monic polynomial of least degree?
#graph-zeroes
#least-degree
#polynomial
A \(x^3-x^2-6x\)
B \(x^3+x^2-6x\)
C \(x^3-6x\)
D \(x^3+6x^2-x\)
Explanation opens after your attempt
Correct Answer
A. \(x^3-x^2-6x\)
Step 1
Concept
The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x-3 -x-2 -6x). Intersections with the (x)-axis give zeroes.
Step 2
Why this answer is correct
The correct answer is A. \(x^3-x^2-6x\). The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x-3 -x-2 -6x). Intersections with the (x)-axis give zeroes.
Step 3
Exam Tip
शून्यक (-2,0,3) हैं, इसलिए बहुपद (x(x+2)(x-3)=x-3 -x-2 -6x) है। (x)-अक्ष काटने के बिंदु शून्यक बताते हैं।
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कौन-सा बहुपद (x) में (0) घात का है?
Which polynomial in (x) has degree (0)?
#degree_zero
#constant_polynomial
#basics
A (12)
B (x+12)
C \(x^2+12\)
D (0)
Explanation opens after your attempt
Step 1
Concept
The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.
Step 2
Why this answer is correct
The correct answer is A. (12). The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.
Step 3
Exam Tip
(12) शून्य से भिन्न स्थिर बहुपद है और इसकी घात (0) है। (0) बहुपद की घात परिभाषित नहीं होती।
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कौन-सा बहुपद (x) में (4) घात का है?
Which polynomial in (x) has degree (4)?
#degree_four
#polynomials
#identification
A \(x^4+x^2+1\)
B \(x^3+x+1\)
C \(x^2+4\)
D (4x+1)
Explanation opens after your attempt
Correct Answer
A. \(x^4+x^2+1\)
Step 1
Concept
The highest power in \(x^4+x^2+1\) is (4). So its degree is (4).
Step 2
Why this answer is correct
The correct answer is A. \(x^4+x^2+1\). The highest power in \(x^4+x^2+1\) is (4). So its degree is (4).
Step 3
Exam Tip
\(x^4+x^2+1\) में सबसे बड़ी घात (4) है। इसलिए इसकी घात (4) है।
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यदि बहुपद का ग्राफ (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो डिग्री के बारे में कौन सा कथन सही है?
If the graph of a polynomial cuts the (x)-axis at four distinct points, which statement about its degree is correct?
#degree
#maximum-zeroes
#polynomial
A डिग्री कम से कम (4) होगी / The degree is at least (4)
B डिग्री ठीक (2) होगी / The degree is exactly (2)
C डिग्री (1) हो सकती है / The degree may be (1)
D डिग्री शून्य होगी / The degree will be zero
Explanation opens after your attempt
Correct Answer
A. डिग्री कम से कम (4) होगी / The degree is at least (4)
Step 1
Concept
Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is A. डिग्री कम से कम (4) होगी / The degree is at least (4). Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.
Step 3
Exam Tip
चार अलग वास्तविक शून्यक के लिए डिग्री कम से कम चार चाहिए। शून्यकों की संख्या डिग्री से अधिक नहीं होती।
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यदि कोई बहुपद (x)-अक्ष को आठ अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?
If a polynomial cuts the (x)-axis at eight distinct points, what is the minimum possible degree?
#minimum degree
#distinct zeroes
#graph
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is C. (8). For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.
Step 3
Exam Tip
आठ अलग वास्तविक शून्यकों के लिए घात कम से कम (8) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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यदि कोई बहुपद (x)-अक्ष को सात अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?
If a polynomial cuts the (x)-axis at seven distinct points, what is the minimum possible degree?
#minimum degree
#distinct zeroes
#graph
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is C. (7). For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.
Step 3
Exam Tip
सात अलग वास्तविक शून्यकों के लिए घात कम से कम (7) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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यदि कोई बहुपद (x)-अक्ष को चार अलग बिंदुओं पर काटता है, तो न्यूनतम संभावित घात क्या होगी?
If a polynomial cuts the (x)-axis at four distinct points, what is the minimum possible degree?
#minimum degree
#distinct zeroes
#graph
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is C. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.
Step 3
Exam Tip
चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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यदि किसी बहुपद का ग्राफ (x)-अक्ष को पाँच अलग बिंदुओं पर काटता है तो बहुपद की न्यूनतम घात क्या हो सकती है?
If a polynomial graph cuts the (x)-axis at five distinct points, what can be the minimum degree of the polynomial?
#degree zero count
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is D. (5). For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.
Step 3
Exam Tip
पाँच अलग वास्तविक शून्यकों के लिए घात कम से कम (5) होनी चाहिए। टिप: शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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यदि किसी बहुपद का आलेख (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो उसका न्यूनतम संभावित घात क्या हो सकता है?
If a polynomial graph cuts the (x)-axis at four distinct points, what can be its minimum possible degree?
#degree zero count graph
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
For four distinct real zeroes, the degree must be at least (4). Tip: the number of zeroes cannot exceed the degree.
Step 2
Why this answer is correct
The correct answer is D. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of zeroes cannot exceed the degree.
Step 3
Exam Tip
चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होना चाहिए। टिप: शून्यकों की संख्या घात से अधिक नहीं हो सकती।
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किसी समांतर श्रेढ़ी में (a=17), (d=2) और \(S_n=580\) है। (n) ज्ञात कीजिए।
In an AP, (a=17), (d=2), and \(S_n=580\). Find (n).
#find n
#ap sum
#options check
A (18)
B (19)
C (20)
D (21)
Explanation opens after your attempt
Step 1
Concept
From (\frac{n}{2}[34+2(n-1)]=580), (n=20). After forming the equation, you can also check using options.
Step 2
Why this answer is correct
The correct answer is C. (20). From (\frac{n}{2}[34+2(n-1)]=580), (n=20). After forming the equation, you can also check using options.
Step 3
Exam Tip
(\frac{n}{2}[34+2(n-1)]=580) से (n=20) मिलता है। समीकरण बनने के बाद विकल्पों से भी जाँच कर सकते हैं।
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यदि \(a_8=45\) और \(a_{15}=4a_8-16\) है, तो \(a_{43}\) क्या होगा?
If \(a_8=45\) and \(a_{15}=4a_8-16\), what is \(a_{43}\)?
#ap expert relation check
A (721)
B (725)
C (729)
D (733)
Explanation opens after your attempt
Step 1
Concept
\(a_{15}=164\) and (7d=119), so (d=17). \(a_{43}=45+35\times17=640\).
Step 2
Why this answer is correct
The correct answer is A. (721). \(a_{15}=164\) and (7d=119), so (d=17). \(a_{43}=45+35\times17=640\).
Step 3
Exam Tip
\(a_{15}=164\) और (7d=119), इसलिए (d=17)। \(a_{43}=45+35\times17=640\)।
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यदि \(a_{10}=49\) और \(a_{16}=3a_{10}+5\) है, तो \(a_{40}\) क्या होगा?
If \(a_{10}=49\) and \(a_{16}=3a_{10}+5\), what is \(a_{40}\)?
#ap expert relation check
A (535)
B (545)
C (559)
D (571)
Explanation opens after your attempt
Step 1
Concept
\(a_{16}=152\) and (6d=103), so \(d=\frac{103}{6}\). \(a_{40}=152+24\cdot\frac{103}{6}=564\).
Step 2
Why this answer is correct
The correct answer is C. (559). \(a_{16}=152\) and (6d=103), so \(d=\frac{103}{6}\). \(a_{40}=152+24\cdot\frac{103}{6}=564\).
Step 3
Exam Tip
\(a_{16}=152\) और (6d=103), इसलिए \(d=\frac{103}{6}\)। \(a_{40}=152+24\cdot\frac{103}{6}=564\)।
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यदि \(a_7=36\) और \(a_{13}=4a_7-12\) है, तो \(a_{37}\) क्या होगा?
If \(a_7=36\) and \(a_{13}=4a_7-12\), what is \(a_{37}\)?
#ap expert relation check
A (444)
B (456)
C (468)
D (480)
Explanation opens after your attempt
Step 1
Concept
\(a_{13}=132\) and (6d=96), so (d=16). \(a_{37}=36+30\times16=516\), so the correct answer is not in the options.
Step 2
Why this answer is correct
The correct answer is D. (480). \(a_{13}=132\) and (6d=96), so (d=16). \(a_{37}=36+30\times16=516\), so the correct answer is not in the options.
Step 3
Exam Tip
\(a_{13}=132\) और (6d=96), इसलिए (d=16)। \(a_{37}=36+30\times16=516\), इसलिए विकल्पों में सही उत्तर नहीं है।
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यदि \(a_9=43\) और \(a_{14}=2a_9+17\) है, तो \(a_{34}\) क्या होगा?
If \(a_9=43\) and \(a_{14}=2a_9+17\), what is \(a_{34}\)?
#ap expert relation check
A (283)
B (291)
C (299)
D (307)
Explanation opens after your attempt
Step 1
Concept
\(a_{14}=103\) and (5d=60), so (d=12). \(a_{34}=43+25\times12=343\), so the correct answer is not in the options.
Step 2
Why this answer is correct
The correct answer is A. (283). \(a_{14}=103\) and (5d=60), so (d=12). \(a_{34}=43+25\times12=343\), so the correct answer is not in the options.
Step 3
Exam Tip
\(a_{14}=103\) और (5d=60), इसलिए (d=12)। \(a_{34}=43+25\times12=343\), इसलिए दिए विकल्पों में सही उत्तर नहीं है।
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यदि \(a_6=28\) और \(a_{11}=3a_6+6\) है, तो \(a_{31}\) क्या होगा?
If \(a_6=28\) and \(a_{11}=3a_6+6\), what is \(a_{31}\)?
#ap-relation-check-expert
A (330)
B (338)
C (346)
D (356)
Explanation opens after your attempt
Step 1
Concept
\(a_{11}=90\) and (5d=62), so \(d=\frac{62}{5}\). \(a_{31}=90+20\cdot\frac{62}{5}=338\), so the options do not contain the correct answer.
Step 2
Why this answer is correct
The correct answer is D. (356). \(a_{11}=90\) and (5d=62), so \(d=\frac{62}{5}\). \(a_{31}=90+20\cdot\frac{62}{5}=338\), so the options do not contain the correct answer.
Step 3
Exam Tip
\(a_{11}=90\) और (5d=62), इसलिए \(d=\frac{62}{5}\)। \(a_{31}=90+20\cdot\frac{62}{5}=338\), इसलिए विकल्पों में सही उत्तर नहीं है।
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यदि (5a-2, 3a+6, a+18) अंकगणितीय श्रेणी में हैं तो सार्व अंतर क्या होगा?
If (5a-2, 3a+6, a+18) are in an arithmetic progression, what will be the common difference?
#arithmetic progression
#no solution
#algebraic check
#hard
A (2)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
(2(3a+6)=(5a-2)+(a+18)) gives (a=2). Then the terms (8,12,20) do not have equal differences, so no arithmetic progression is formed.
Step 2
Why this answer is correct
The correct answer is B. (4). (2(3a+6)=(5a-2)+(a+18)) gives (a=2). Then the terms (8,12,20) do not have equal differences, so no arithmetic progression is formed.
Step 3
Exam Tip
(2(3a+6)=(5a-2)+(a+18)) से (a=2) मिलता है। तब पद (8,12,20) नहीं बल्कि (8,12,20) समान अंतर नहीं देते, इसलिए सही जांच से कोई अंकगणितीय श्रेणी नहीं बनती।
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किस अनुक्रम में पहले तीन लगातार अंतर (4,4,4) मिलते हैं?
In which sequence are the first three consecutive differences (4,4,4)?
#arithmetic-progression
#common-difference-check
#class10
A \(2,6,10,14,\ldots\)
B \(4,8,13,19,\ldots\)
C \(10,8,6,4,\ldots\)
D \(1,4,9,16,\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(2,6,10,14,\ldots\)
Step 1
Concept
In \(2,6,10,14,\ldots\), the differences are (4,4,4). Equal differences identify an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is A. \(2,6,10,14,\ldots\). In \(2,6,10,14,\ldots\), the differences are (4,4,4). Equal differences identify an arithmetic progression.
Step 3
Exam Tip
\(2,6,10,14,\ldots\) में अंतर (4,4,4) हैं। समान अंतर समांतर श्रेढ़ी की पहचान है।
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यदि कोई अनुक्रम \(1,4,7,10,\ldots\) है, तो तीसरे और दूसरे पद का अंतर क्या है?
If a sequence is \(1,4,7,10,\ldots\), what is the difference between the third and second terms?
#arithmetic-progression
#common-difference-check
#class10
A (2)
B (3)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
The third term is (7) and the second term is (4). Therefore, the difference is (7-4=3).
Step 2
Why this answer is correct
The correct answer is B. (3). The third term is (7) and the second term is (4). Therefore, the difference is (7-4=3).
Step 3
Exam Tip
तीसरा पद (7) और दूसरा पद (4) है। इसलिए अंतर (7-4=3) है।
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अनुक्रम \(5,12,19,26,\ldots\) में पहले दो पदों का अंतर और तीसरे-चौथे पदों का अंतर क्या है?
In \(5,12,19,26,\ldots\), what are the difference of the first two terms and the difference of the third and fourth terms?
#arithmetic-progression
#common-difference-check
#class10
A (7) और (7) / (7) and (7)
B (5) और (7) / (5) and (7)
C (12) और (26) / (12) and (26)
D (7) और (14) / (7) and (14)
Explanation opens after your attempt
Correct Answer
A. (7) और (7) / (7) and (7)
Step 1
Concept
The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is A. (7) और (7) / (7) and (7). The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.
Step 3
Exam Tip
पहला अंतर (12-5=7) और दूसरा (26-19=7) है। समान अंतर समांतर श्रेढ़ी की पुष्टि करता है।
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यदि किसी अनुक्रम के लगातार अंतर (2,4,6) हैं, तो सही निष्कर्ष क्या है?
If the consecutive differences of a sequence are (2,4,6), what is the correct conclusion?
#arithmetic-progression
#ap-check
#class10
A यह समांतर श्रेढ़ी है / It is an arithmetic progression
B यह समांतर श्रेढ़ी नहीं है / It is not an arithmetic progression
C इसका सार्व अंतर (2) है / Its common difference is (2)
D इसके सभी पद समान हैं / All its terms are equal
Explanation opens after your attempt
Correct Answer
B. यह समांतर श्रेढ़ी नहीं है / It is not an arithmetic progression
Step 1
Concept
The differences are not equal, so the common difference is not constant. Hence it is not an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is B. यह समांतर श्रेढ़ी नहीं है / It is not an arithmetic progression. The differences are not equal, so the common difference is not constant. Hence it is not an arithmetic progression.
Step 3
Exam Tip
अंतर समान नहीं हैं इसलिए सार्व अंतर स्थिर नहीं है। अतः यह समांतर श्रेढ़ी नहीं है।
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अनुक्रम \(2,9,16,23,\ldots\) में दूसरा और तीसरा पद घटाकर (d) क्या मिलेगा?
By subtracting the second and third terms in \(2,9,16,23,\ldots\), what (d) will be obtained?
#arithmetic-progression
#common-difference-check
#class10
A (5)
B (6)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).
Step 2
Why this answer is correct
The correct answer is C. (7). The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).
Step 3
Exam Tip
तीसरा पद घटा दूसरा पद (16-9=7) है। किसी भी दो लगातार पदों से वही (d) मिलना चाहिए।
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अनुक्रम \(3,7,12,18,\ldots\) समांतर श्रेढ़ी है या नहीं?
Is the sequence \(3,7,12,18,\ldots\) an arithmetic progression or not?
#arithmetic-progression
#ap-check
#class10
A हाँ क्योंकि पद बढ़ते हैं / Yes because the terms increase
B हाँ क्योंकि पहला पद छोटा है / Yes because the first term is small
C नहीं क्योंकि अंतर समान नहीं हैं / No because the differences are not equal
D नहीं क्योंकि पद धनात्मक हैं / No because the terms are positive
Explanation opens after your attempt
Correct Answer
C. नहीं क्योंकि अंतर समान नहीं हैं / No because the differences are not equal
Step 1
Concept
Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is C. नहीं क्योंकि अंतर समान नहीं हैं / No because the differences are not equal. Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.
Step 3
Exam Tip
इसके अंतर (4,5,6) हैं। समान अंतर न होने के कारण यह समांतर श्रेढ़ी नहीं है।
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अनुक्रम \(4,8,13,19,\ldots\) समांतर श्रेढ़ी है या नहीं?
Is the sequence \(4,8,13,19,\ldots\) an arithmetic progression or not?
#arithmetic-progression
#ap-check
#class10
A हाँ क्योंकि पद बढ़ रहे हैं / Yes because terms are increasing
B हाँ क्योंकि सभी पद धनात्मक हैं / Yes because all terms are positive
C नहीं क्योंकि अंतर समान नहीं हैं / No because differences are not equal
D नहीं क्योंकि पहला पद सम है / No because the first term is even
Explanation opens after your attempt
Correct Answer
C. नहीं क्योंकि अंतर समान नहीं हैं / No because differences are not equal
Step 1
Concept
Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.
Step 2
Why this answer is correct
The correct answer is C. नहीं क्योंकि अंतर समान नहीं हैं / No because differences are not equal. Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.
Step 3
Exam Tip
इसके अंतर (4,5,6) हैं। समान अंतर न होने से यह समांतर श्रेढ़ी नहीं है।
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यदि (6x+5y=64) और (3x-5y=-4), तो (y) का मान क्या है?
If (6x+5y=64) and (3x-5y=-4), what is the value of (y)?
#pair-linear-equations-fraction-check
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
Adding gives (9x=60), so \(x=\frac{20}{3}\). Substitute back carefully to avoid arithmetic errors.
Step 2
Why this answer is correct
The correct answer is C. (8). Adding gives (9x=60), so \(x=\frac{20}{3}\). Substitute back carefully to avoid arithmetic errors.
Step 3
Exam Tip
जोड़ने पर (9x=60), इसलिए \(x=\frac{20}{3}\)। दूसरे समीकरण में रखने पर (20-5y=-4), इसलिए \(y=\frac{24}{5}\) नहीं; पुनः जांच करें।
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यदि (4x+ky=34) और (4x-2y=10) का हल (y=3) है, तो (k) का मान क्या होगा?
If (4x+ky=34) and (4x-2y=10) have solution (y=3), what is (k)?
#pair-linear-equations-parameter-check
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
Putting (y=3) in the second equation gives (x=4). Then (16+3k=34), so verify the parameter carefully.
Step 2
Why this answer is correct
The correct answer is C. (4). Putting (y=3) in the second equation gives (x=4). Then (16+3k=34), so verify the parameter carefully.
Step 3
Exam Tip
दूसरे में (y=3) रखने पर (4x-6=10), इसलिए (x=4)। पहले में (16+3k=34), इसलिए (k=6), विकल्प जांचें।
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समीकरणों (x-4y=-14) और (3x+2y=32) को हल करने पर (y) का मान क्या है?
Solving (x-4y=-14) and (3x+2y=32), what is the value of (y)?
#pair-linear-equations-substitution-check
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
From the first equation, (x=4y-14). Substitute carefully and verify the result in both equations.
Step 2
Why this answer is correct
The correct answer is B. (4). From the first equation, (x=4y-14). Substitute carefully and verify the result in both equations.
Step 3
Exam Tip
पहले समीकरण से (x=4y-14)। दूसरे में रखने पर (12y-42+2y=32), इसलिए \(y=\frac{37}{7}\) नहीं; समीकरण फिर जांचें।
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समीकरणों (px+y=14) और (2x-y=1) का हल (y=5) है। (p) का मान क्या होगा?
The equations (px+y=14) and (2x-y=1) have solution (y=5). What is (p)?
#pair-linear-equations
#parameter
#check
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
Putting (y=5) in the second equation gives (x=3). Then (3p+5=14), so (p=3); match the option carefully.
Step 2
Why this answer is correct
The correct answer is B. (2). Putting (y=5) in the second equation gives (x=3). Then (3p+5=14), so (p=3); match the option carefully.
Step 3
Exam Tip
दूसरे में (y=5) रखने पर (2x-5=1), इसलिए (x=3)। पहले में (3p+5=14), इसलिए (p=3) नहीं बल्कि (p=3) है; विकल्प मिलान ध्यान से करें।
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