100 results found for "degree calculation" 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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
यदि \(28,21,14,7,\ldots\) में (d) ज्ञात करना हो तो सही गणना कौन सी है?
If (d) is to be found in \(28,21,14,7,\ldots\), which calculation is correct?
#ap
#correct calculation
#negative d
#medium
A (28-21=7)
B (28+21=49)
C (21-28=-7)
D \(28\times21=588\)
Explanation opens after your attempt
Correct Answer
C. (21-28=-7)
Step 1
Concept
The common difference is next term minus previous term, so (21-28=-7). In a decreasing sequence the order of subtraction is very important.
Step 2
Why this answer is correct
The correct answer is C. (21-28=-7). The common difference is next term minus previous term, so (21-28=-7). In a decreasing sequence the order of subtraction is very important.
Step 3
Exam Tip
सार्व अंतर अगला पद घटा पिछला पद है इसलिए (21-28=-7)। घटते अनुक्रम में घटाव का क्रम बहुत जरूरी है।
Login to save your score, XP, coins and progress. Login
यदि \(15,10,5,0,\ldots\) में (d) ज्ञात करना हो तो सही गणना कौन सी है?
If (d) is to be found in \(15,10,5,0,\ldots\), which calculation is correct?
#ap
#correct calculation
#negative d
#medium
A (15-10=5)
B (15+10=25)
C (10-15=-5)
D \(15\times10=150\)
Explanation opens after your attempt
Correct Answer
C. (10-15=-5)
Step 1
Concept
The common difference is next term minus previous term, so (10-15=-5). In a decreasing sequence the order of subtraction is very important.
Step 2
Why this answer is correct
The correct answer is C. (10-15=-5). The common difference is next term minus previous term, so (10-15=-5). In a decreasing sequence the order of subtraction is very important.
Step 3
Exam Tip
सार्व अंतर बाद वाला पद घटा पहले वाला पद है इसलिए (10-15=-5)। घटते अनुक्रम में घटाव का क्रम बहुत जरूरी है।
Login to save your score, XP, coins and progress. Login
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)।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
\(x^2+1\), \(x^3+x\), (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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
\(3x^4+0x^3-2x+5\) 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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
\(x^5+1\) 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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
\(6x^4-2x^2+x-8\) 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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
\(6x^2-5x+2=0\) 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।
Login to save your score, XP, coins and progress. Login
\(5x^2+2x-1=0\) 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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
खिलाफत और असहयोग आंदोलनों के मेल में गांधीजी की सबसे बड़ी राजनीतिक गणना क्या थी?
What was Gandhi's main political calculation in linking Khilafat and Non-Cooperation movements?
#indian freedom movement
#khilafat
#non cooperation
A कांग्रेस को केवल चुनावी दल बनाना / To make Congress only an electoral party
B हिंदू मुस्लिम जनाधार को साझा औपनिवेशिक विरोध में जोड़ना / To unite Hindu-Muslim mass base in common anti-colonial opposition
C ब्रिटिश शासन को स्थायी बनाना / To make British rule permanent
D रियासतों को स्वतंत्र छोड़ना / To leave princely states independent
Explanation opens after your attempt
Correct Answer
B. हिंदू मुस्लिम जनाधार को साझा औपनिवेशिक विरोध में जोड़ना / To unite Hindu-Muslim mass base in common anti-colonial opposition
Step 1
Concept
Gandhi tried to build wider mass unity. Exam tip: remember both alliance and mass base.
Step 2
Why this answer is correct
The correct answer is B. हिंदू मुस्लिम जनाधार को साझा औपनिवेशिक विरोध में जोड़ना / To unite Hindu-Muslim mass base in common anti-colonial opposition. Gandhi tried to build wider mass unity. Exam tip: remember both alliance and mass base.
Step 3
Exam Tip
गांधीजी ने व्यापक जन एकता बनाने की कोशिश की। परीक्षा में गठबंधन और जनाधार दोनों याद रखें।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
माया सभ्यता की कौन सी उपलब्धि खगोल और समय गणना से सबसे अधिक जुड़ी है?
Which achievement of the Maya civilization is most strongly linked with astronomy and time calculation?
#world history
#ancient civilizations
#maya
#calendar
A जिगुरात / Ziggurats
B पिरामिड समाधियां / Pyramid tombs
C उन्नत पंचांग प्रणाली / Advanced calendar system
D लौह रथ / Iron chariots
Explanation opens after your attempt
Correct Answer
C. उन्नत पंचांग प्रणाली / Advanced calendar system
Step 1
Concept
The Maya are famous for astronomy and calendars. For exams connect the Maya with Mesoamerica.
Step 2
Why this answer is correct
The correct answer is C. उन्नत पंचांग प्रणाली / Advanced calendar system. The Maya are famous for astronomy and calendars. For exams connect the Maya with Mesoamerica.
Step 3
Exam Tip
माया सभ्यता खगोल ज्ञान और कैलेंडर के लिए प्रसिद्ध है। परीक्षा में माया को मेसोअमेरिका से जोड़ें।
Login to save your score, XP, coins and progress. Login
लखनऊ समझौते में कांग्रेस द्वारा पृथक निर्वाचक मंडल स्वीकार करना किस राजनीतिक गणना को दिखाता है?
Congress accepting separate electorates in the Lucknow Pact shows which political calculation?
#modern indian history
#lucknow pact
#separate electorates
A स्वदेशी शिक्षा समाप्त करना / Ending Swadeshi education
B कंपनी शासन लौटाना / Restoring Company rule
C मुस्लिम लीग के साथ संयुक्त औपनिवेशिक विरोध बनाना / Creating a united anti-colonial front with Muslim League
D भारत को तुरंत गणतंत्र बनाना / Making India a republic immediately
Explanation opens after your attempt
Correct Answer
C. मुस्लिम लीग के साथ संयुक्त औपनिवेशिक विरोध बनाना / Creating a united anti-colonial front with Muslim League
Step 1
Concept
Congress made this compromise for wider political unity. Exam tip: remember both achievement and limitation of the Pact.
Step 2
Why this answer is correct
The correct answer is C. मुस्लिम लीग के साथ संयुक्त औपनिवेशिक विरोध बनाना / Creating a united anti-colonial front with Muslim League. Congress made this compromise for wider political unity. Exam tip: remember both achievement and limitation of the Pact.
Step 3
Exam Tip
कांग्रेस ने व्यापक राजनीतिक एकता के लिए यह समझौता किया। परीक्षा में समझौते की उपलब्धि और सीमा दोनों याद रखें।
Login to save your score, XP, coins and progress. Login
समीकरणों (4x+3y=34) और (2x-y=4) के लिए (x) का मान क्या है?
For (4x+3y=34) and (2x-y=4), what is the value of (x)?
#linear equations
#substitution
#careful calculation
#medium
#class 10
A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
From the second equation use (y=2x-4). Correct substitution gives (4x+6x-12=34), so \(x=\frac{23}{5}\).
Step 2
Why this answer is correct
The correct answer is C. (x=5). From the second equation use (y=2x-4). Correct substitution gives (4x+6x-12=34), so \(x=\frac{23}{5}\).
Step 3
Exam Tip
दूसरे समीकरण से (y=2x-4) रखें। पहले में रखने पर (10x-12=34) नहीं, सही गणना (4x+6x-12=34) से \(x=\frac{23}{5}\) आती है।
Login to save your score, XP, coins and progress. Login
(2x+3y=18) में (y=4) रखने पर (x) क्या होगा?
In (2x+3y=18), if (y=4), what is (x)?
#linear equations
#substitution
#calculation
#easy
#class 10
A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
(2x+12=18), so (2x=6) and (x=3). Multiply first and then separate the constant term.
Step 2
Why this answer is correct
The correct answer is A. (x=3). (2x+12=18), so (2x=6) and (x=3). Multiply first and then separate the constant term.
Step 3
Exam Tip
(2x+12=18), इसलिए (2x=6) और (x=3)। पहले गुणा करके स्थिर पद अलग करें।
Login to save your score, XP, coins and progress. Login
प्रतिस्थापन विधि से (3x+y=10) में (x=2) रखने पर (y) क्या होगा?
Using substitution in (3x+y=10), if (x=2), what is (y)?
#linear equations
#substitution
#simple calculation
#easy
#class 10
A (y=4)
B (y=3)
C (y=2)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
(3(2)+y=10), so (6+y=10) and (y=4). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is A. (y=4). (3(2)+y=10), so (6+y=10) and (y=4). Multiply first and then subtract.
Step 3
Exam Tip
(3(2)+y=10), इसलिए (6+y=10) और (y=4)। गुणा पहले और घटाव बाद में करें।
Login to save your score, XP, coins and progress. Login
\(4^0+5^2\) का मान क्या है?
What is the value of \(4^0+5^2\)?
#polynomials
#zero exponent
#calculation
A (25)
B (26)
C (29)
D (30)
Explanation opens after your attempt
Step 1
Concept
Here \(4^0=1\) and \(5^2=25\). Therefore (1+25=26).
Step 2
Why this answer is correct
The correct answer is B. (26). Here \(4^0=1\) and \(5^2=25\). Therefore (1+25=26).
Step 3
Exam Tip
यहाँ \(4^0=1\) और \(5^2=25\) है। इसलिए (1+25=26) है।
Login to save your score, XP, coins and progress. Login
\(9^0+3^2\) का मान क्या है?
What is the value of \(9^0+3^2\)?
#polynomials
#zero exponent
#calculation
A (9)
B (10)
C (18)
D (82)
Explanation opens after your attempt
Step 1
Concept
Here \(9^0=1\) and \(3^2=9\). Therefore (1+9=10).
Step 2
Why this answer is correct
The correct answer is B. (10). Here \(9^0=1\) and \(3^2=9\). Therefore (1+9=10).
Step 3
Exam Tip
यहाँ \(9^0=1\) और \(3^2=9\) है। इसलिए (1+9=10) है।
Login to save your score, XP, coins and progress. Login
\(3x^2-11x+2=0\) का विविक्तकर (D) क्या है?
What is the discriminant (D) of \(3x^2-11x+2=0\)?
#quadratic
#discriminant
#calculation
A (97)
B (121)
C (73)
D (105)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-11)2 -4(3)(2)=97). In exams, identify (a,b,c) correctly while finding (D).
Step 2
Why this answer is correct
The correct answer is A. (97). Here (D=(-11)2 -4(3)(2)=97). In exams, identify (a,b,c) correctly while finding (D).
Step 3
Exam Tip
यहां (D=(-11)2 -4(3)(2)=97) है। परीक्षा में (a,b,c) सही पहचानकर (D) निकालें।
Login to save your score, XP, coins and progress. Login
द्विघात सूत्र से \(5x^2-10x-3=0\) के लिए (D) का मान क्या है?
Using the quadratic formula setup, what is the value of (D) for \(5x^2-10x-3=0\)?
#quadratic
#discriminant
#calculation
A (160)
B (100)
C (60)
D (40)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-10)2 -4(5)(-3)=160). In exams, a negative (c) makes the second term add.
Step 2
Why this answer is correct
The correct answer is A. (160). Here (D=(-10)2 -4(5)(-3)=160). In exams, a negative (c) makes the second term add.
Step 3
Exam Tip
यहां (D=(-10)2 -4(5)(-3)=160) है। परीक्षा में ऋणात्मक (c) के कारण दूसरा पद जुड़ता है।
Login to save your score, XP, coins and progress. Login
\(2x^2-7x+1=0\) का विविक्तकर (D) क्या है?
What is the discriminant (D) of \(2x^2-7x+1=0\)?
#quadratic
#discriminant
#calculation
A (41)
B (49)
C (33)
D (57)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-7)2 -4(2)(1)=41). In exams, identify (a,b,c) correctly while finding (D).
Step 2
Why this answer is correct
The correct answer is A. (41). Here (D=(-7)2 -4(2)(1)=41). In exams, identify (a,b,c) correctly while finding (D).
Step 3
Exam Tip
यहां (D=(-7)2 -4(2)(1)=41) है। परीक्षा में (D) निकालते समय (a,b,c) सही पहचानें।
Login to save your score, XP, coins and progress. Login
द्विघात सूत्र से \(3x^2-6x-2=0\) के लिए (D) का मान क्या है?
Using the quadratic formula setup, what is the value of (D) for \(3x^2-6x-2=0\)?
#quadratic
#discriminant
#calculation
A (60)
B (36)
C (12)
D (24)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-6)2 -4(3)(-2)=60). In exams, a negative (c) makes the second term add.
Step 2
Why this answer is correct
The correct answer is A. (60). Here (D=(-6)2 -4(3)(-2)=60). In exams, a negative (c) makes the second term add.
Step 3
Exam Tip
यहां (D=(-6)2 -4(3)(-2)=60) है। परीक्षा में ऋणात्मक (c) के कारण दूसरा पद जुड़ता है।
Login to save your score, XP, coins and progress. Login
\(4x^2-8x-1=0\) का विविक्तकर (D) क्या है?
What is the discriminant (D) of \(4x^2-8x-1=0\)?
#quadratic
#discriminant
#calculation
A (80)
B (64)
C (48)
D (16)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-8)2 -4(4)(-1)=80). In exams, a negative (c) increases (D).
Step 2
Why this answer is correct
The correct answer is A. (80). Here (D=(-8)2 -4(4)(-1)=80). In exams, a negative (c) increases (D).
Step 3
Exam Tip
यहां (D=(-8)2 -4(4)(-1)=80) है। परीक्षा में ऋणात्मक (c) से (D) बढ़ जाता है।
Login to save your score, XP, coins and progress. Login
द्विघात सूत्र से \(2x^2-4x-3=0\) के लिए (D) का मान क्या है?
Using the quadratic formula setup, what is the value of (D) for \(2x^2-4x-3=0\)?
#quadratic
#discriminant
#calculation
A (40)
B (16)
C (24)
D (8)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-4)2 -4(2)(-3)=40). In exams, a negative (c) makes the term add.
Step 2
Why this answer is correct
The correct answer is A. (40). Here (D=(-4)2 -4(2)(-3)=40). In exams, a negative (c) makes the term add.
Step 3
Exam Tip
यहां (D=(-4)2 -4(2)(-3)=40) है। परीक्षा में ऋणात्मक (c) के कारण जोड़ बनता है।
Login to save your score, XP, coins and progress. Login
\(x^2+2x+1=0\) का विविक्तकर (D) क्या होगा?
What will be the discriminant (D) of \(x^2+2x+1=0\)?
#quadratic
#discriminant
#calculation
A (0)
B (1)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
Here (D=22 -4(1)(1)=0). In exams, (D=0) gives equal roots.
Step 2
Why this answer is correct
The correct answer is A. (0). Here (D=22 -4(1)(1)=0). In exams, (D=0) gives equal roots.
Step 3
Exam Tip
यहां (D=22 -4(1)(1)=0) है। परीक्षा में (D=0) से समान मूल मिलते हैं।
Login to save your score, XP, coins and progress. Login
\(x^2-2x+1=0\) का विविक्तकर (D) क्या होगा?
What will be the discriminant (D) of \(x^2-2x+1=0\)?
#quadratic
#discriminant
#calculation
A (0)
B (1)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
Here (D=(-2)2 -4(1)(1)=0). In exams, square (b) with its sign.
Step 2
Why this answer is correct
The correct answer is A. (0). Here (D=(-2)2 -4(1)(1)=0). In exams, square (b) with its sign.
Step 3
Exam Tip
यहां (D=(-2)2 -4(1)(1)=0) है। परीक्षा में (b) का चिन्ह लगाकर वर्ग करें।
Login to save your score, XP, coins and progress. Login
\(x^2-4x+4=0\) का विविक्तकर (D) क्या है?
What is the discriminant (D) of \(x^2-4x+4=0\)?
#quadratic
#discriminant
#calculation
A (0)
B (4)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
Here (a=1), (b=-4), (c=4), so (D=(-4)2 -4(1)(4)=0). In exams, use (b) with its sign.
Step 2
Why this answer is correct
The correct answer is A. (0). Here (a=1), (b=-4), (c=4), so (D=(-4)2 -4(1)(4)=0). In exams, use (b) with its sign.
Step 3
Exam Tip
यहां (a=1), (b=-4), (c=4), इसलिए (D=(-4)2 -4(1)(4)=0)। परीक्षा में संकेत सहित (b) रखें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(6x^2+5x-4=0\) के मूल हैं तो \(\alpha\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(6x^2+5x-4=0\), what is \(\alpha\beta\)?
#roots
#product_of_roots
#calculation
A -\(\frac{2}{3}\)
B \(\frac{2}{3}\)
C -\(\frac{5}{6}\)
D \(\frac{5}{6}\)
Explanation opens after your attempt
Correct Answer
A. -\(\frac{2}{3}\)
Step 1
Concept
The product of roots is \(\frac{c}{a}=\frac{-4}{6}=-\frac{2}{3}\). Do not forget the sign of (c).
Step 2
Why this answer is correct
The correct answer is A. -\(\frac{2}{3}\). The product of roots is \(\frac{c}{a}=\frac{-4}{6}=-\frac{2}{3}\). Do not forget the sign of (c).
Step 3
Exam Tip
मूलों का गुणनफल \(\frac{c}{a}=\frac{-4}{6}=-\frac{2}{3}\) होता है। (c) का चिन्ह न भूलें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(4x^2-20x+7=0\) के मूल हैं तो \(\alpha+\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(4x^2-20x+7=0\), what is \(\alpha+\beta\)?
#roots
#sum_of_roots
#calculation
A (5)
B (-5)
C \(\frac{7}{4}\)
D -\(\frac{7}{4}\)
Explanation opens after your attempt
Step 1
Concept
The sum of roots is \(-\frac{b}{a}=-\frac{-20}{4}=5\). Keep the sign of (b) correct in the formula.
Step 2
Why this answer is correct
The correct answer is A. (5). The sum of roots is \(-\frac{b}{a}=-\frac{-20}{4}=5\). Keep the sign of (b) correct in the formula.
Step 3
Exam Tip
मूलों का योग \(-\frac{b}{a}=-\frac{-20}{4}=5\) है। सूत्र में (b) का चिन्ह सही रखें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(5x^2+3x-2=0\) के मूल हैं तो \(\alpha\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(5x^2+3x-2=0\), what is \(\alpha\beta\)?
#roots
#product_of_roots
#calculation
A -\(\frac{2}{5}\)
B \(\frac{2}{5}\)
C (3)
D (-3)
Explanation opens after your attempt
Correct Answer
A. -\(\frac{2}{5}\)
Step 1
Concept
The product of roots is \(\frac{c}{a}=\frac{-2}{5}\). Do not forget the sign of (c).
Step 2
Why this answer is correct
The correct answer is A. -\(\frac{2}{5}\). The product of roots is \(\frac{c}{a}=\frac{-2}{5}\). Do not forget the sign of (c).
Step 3
Exam Tip
मूलों का गुणनफल \(\frac{c}{a}=\frac{-2}{5}\) होता है। (c) का चिन्ह न भूलें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(3x^2-12x+5=0\) के मूल हैं तो \(\alpha+\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(3x^2-12x+5=0\), what is \(\alpha+\beta\)?
#roots
#sum_of_roots
#calculation
A (4)
B (-4)
C \(\frac{5}{3}\)
D -\(\frac{5}{3}\)
Explanation opens after your attempt
Step 1
Concept
The sum of roots is \(-\frac{b}{a}=-\frac{-12}{3}=4\). Keep the sign of (b) correct in the formula.
Step 2
Why this answer is correct
The correct answer is A. (4). The sum of roots is \(-\frac{b}{a}=-\frac{-12}{3}=4\). Keep the sign of (b) correct in the formula.
Step 3
Exam Tip
मूलों का योग \(-\frac{b}{a}=-\frac{-12}{3}=4\) है। सूत्र में (b) का चिन्ह सही रखें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(4x^2+4x-3=0\) के मूल हैं तो \(\alpha\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(4x^2+4x-3=0\), what is \(\alpha\beta\)?
#roots
#product_of_roots
#calculation
A -\(\frac{3}{4}\)
B \(\frac{3}{4}\)
C (1)
D (-1)
Explanation opens after your attempt
Correct Answer
A. -\(\frac{3}{4}\)
Step 1
Concept
The product of roots is \(\frac{c}{a}=\frac{-3}{4}\). Do not forget the sign of (c).
Step 2
Why this answer is correct
The correct answer is A. -\(\frac{3}{4}\). The product of roots is \(\frac{c}{a}=\frac{-3}{4}\). Do not forget the sign of (c).
Step 3
Exam Tip
मूलों का गुणनफल \(\frac{c}{a}=\frac{-3}{4}\) होता है। (c) का चिन्ह न भूलें।
Login to save your score, XP, coins and progress. Login
यदि \(\alpha\) और \(\beta\) समीकरण \(2x^2-6x+1=0\) के मूल हैं तो \(\alpha+\beta\) क्या है?
If \(\alpha\) and \(\beta\) are roots of \(2x^2-6x+1=0\), what is \(\alpha+\beta\)?
#roots
#sum_of_roots
#calculation
A (3)
B (-3)
C \(\frac{1}{2}\)
D -\(\frac{1}{2}\)
Explanation opens after your attempt
Step 1
Concept
The sum of roots is \(-\frac{b}{a}=-\frac{-6}{2}=3\). Keep the sign of (b) correct in the formula.
Step 2
Why this answer is correct
The correct answer is A. (3). The sum of roots is \(-\frac{b}{a}=-\frac{-6}{2}=3\). Keep the sign of (b) correct in the formula.
Step 3
Exam Tip
मूलों का योग \(-\frac{b}{a}=-\frac{-6}{2}=3\) है। सूत्र में (b) का चिन्ह सही रखें।
Login to save your score, XP, coins and progress. Login
समीकरण \(x^2+4x+4=0\) का डिस्क्रिमिनेंट (D) क्या है?
What is the discriminant (D) of \(x^2+4x+4=0\)?
#roots
#discriminant
#calculation
A (16)
B (0)
C (-16)
D (8)
Explanation opens after your attempt
Step 1
Concept
Here \(D=b^2-4ac=16-16=0\). Therefore the two roots will be equal.
Step 2
Why this answer is correct
The correct answer is B. (0). Here \(D=b^2-4ac=16-16=0\). Therefore the two roots will be equal.
Step 3
Exam Tip
यहां \(D=b^2-4ac=16-16=0\) है। इसलिए दोनों मूल बराबर होंगे।
Login to save your score, XP, coins and progress. Login
समीकरण \(x^2-4x+4=0\) के डिस्क्रिमिनेंट (D) का मान क्या है?
What is the value of discriminant (D) for \(x^2-4x+4=0\)?
#roots
#discriminant
#calculation
A (4)
B (0)
C (-4)
D (8)
Explanation opens after your attempt
Step 1
Concept
Here \(D=b^2-4ac=16-16=0\). Therefore its roots will be equal.
Step 2
Why this answer is correct
The correct answer is B. (0). Here \(D=b^2-4ac=16-16=0\). Therefore its roots will be equal.
Step 3
Exam Tip
यहां \(D=b^2-4ac=16-16=0\) है। इसलिए इसके मूल बराबर होंगे।
Login to save your score, XP, coins and progress. Login
किस विकल्प में \(\sqrt{50}+3\sqrt{8}-\sqrt{18}\) का सही सरल रूप है?
Which option gives the correct simplified form of \(\sqrt{50}+3\sqrt{8}-\sqrt{18}\)?
#surd-simplification
#like-radicals
#calculation
A \(8\sqrt{2}\)
B \(14\sqrt{2}\)
C \(5\sqrt{2}\)
D \(\sqrt{40}\)
Explanation opens after your attempt
Correct Answer
A. \(8\sqrt{2}\)
Step 1
Concept
\(\sqrt{50}=5\sqrt{2}\), \(3\sqrt{8}=6\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). Hence the value is \(8\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(8\sqrt{2}\). \(\sqrt{50}=5\sqrt{2}\), \(3\sqrt{8}=6\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). Hence the value is \(8\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{50}=5\sqrt{2}\), \(3\sqrt{8}=6\sqrt{2}\) और \(\sqrt{18}=3\sqrt{2}\) है। इसलिए मान \(8\sqrt{2}\) है।
Login to save your score, XP, coins and progress. Login
