किसी समांतर श्रेणी में \(S_6=165\) और \(S_{14}=665\) है। सातवें से चौदहवें पदों का योग ज्ञात कीजिए।
In an arithmetic progression, \(S_6=165\) and \(S_{14}=665\). Find the sum of the (7)th to (14)th terms.
#partial_sum
#ap_sum
#subtraction
A (500)
B (510)
C (520)
D (530)
Explanation opens after your attempt
Step 1
Concept
The sum of the (7)th to (14)th terms is (665-165=500). Subtracting partial sums gives the answer quickly.
Step 2
Why this answer is correct
The correct answer is A. (500). The sum of the (7)th to (14)th terms is (665-165=500). Subtracting partial sums gives the answer quickly.
Step 3
Exam Tip
सातवें से चौदहवें पदों का योग (665-165=500) है। आंशिक योगों को घटाकर उत्तर जल्दी मिलता है।
Login to save your score, XP, coins and progress. Login
यदि किसी समांतर श्रेणी में \(S_{10}=270\) और \(S_5=85\) है, तो छठे से दसवें पदों का योग कितना है?
If an arithmetic progression has \(S_{10}=270\) and \(S_5=85\), what is the sum of the (6)th to (10)th terms?
#partial_sum
#ap_sum
#subtraction
A (165)
B (175)
C (185)
D (195)
Explanation opens after your attempt
Step 1
Concept
The sum of the (6)th to (10)th terms is \(S_{10}-S_5=185\). Subtract partial sums for the sum of middle terms.
Step 2
Why this answer is correct
The correct answer is C. (185). The sum of the (6)th to (10)th terms is \(S_{10}-S_5=185\). Subtract partial sums for the sum of middle terms.
Step 3
Exam Tip
छठे से दसवें पदों का योग \(S_{10}-S_5=185\) है। बीच के पदों के योग के लिए आंशिक योग घटाएँ।
Login to save your score, XP, coins and progress. Login
यदि किसी समांतर श्रेणी में \(S_4=44\) और \(S_{9}=189\) है, तो पाँचवें से नौवें पदों का योग कितना है?
If an arithmetic progression has \(S_4=44\) and \(S_9=189\), what is the sum of the (5)th to (9)th terms?
#partial_sum
#ap_sum
#subtraction
A (135)
B (140)
C (145)
D (150)
Explanation opens after your attempt
Step 1
Concept
The sum of the (5)th to (9)th terms is \(S_9-S_4=145\). Subtract the given partial sums to get the answer.
Step 2
Why this answer is correct
The correct answer is C. (145). The sum of the (5)th to (9)th terms is \(S_9-S_4=145\). Subtract the given partial sums to get the answer.
Step 3
Exam Tip
पाँचवें से नौवें पदों का योग \(S_9-S_4=145\) है। दिए गए आंशिक योगों को घटाकर उत्तर लें।
Login to save your score, XP, coins and progress. Login
यदि \(S_6=72\) और \(S_{12}=252\) है, तो सातवें से बारहवें पदों का योग कितना है?
If \(S_6=72\) and \(S_{12}=252\), what is the sum of the (7)th to (12)th terms?
#partial_sum
#ap_sum
#subtraction
A (160)
B (170)
C (180)
D (190)
Explanation opens after your attempt
Step 1
Concept
The sum of the (7)th to (12)th terms is \(S_{12}-S_6=180\). Subtract partial sums to find the sum of middle terms.
Step 2
Why this answer is correct
The correct answer is C. (180). The sum of the (7)th to (12)th terms is \(S_{12}-S_6=180\). Subtract partial sums to find the sum of middle terms.
Step 3
Exam Tip
सातवें से बारहवें पदों का योग \(S_{12}-S_6=180\) है। बीच के पदों का योग निकालने के लिए आंशिक योग घटाएँ।
Login to save your score, XP, coins and progress. Login
किसी समांतर श्रेढ़ी के पहले (10) पदों का योग (145) है और पहले (5) पदों का योग (45) है। छठे से दसवें पदों का योग कितना है?
The sum of the first (10) terms of an arithmetic progression is (145), and the sum of the first (5) terms is (45). What is the sum of the (6)th to (10)th terms?
#partial_sum
#ap_sum
#subtraction
A (90)
B (95)
C (100)
D (105)
Explanation opens after your attempt
Step 1
Concept
The sum of the (6)th to (10)th terms is (145-45=100). Subtract the first part from the total sum.
Step 2
Why this answer is correct
The correct answer is C. (100). The sum of the (6)th to (10)th terms is (145-45=100). Subtract the first part from the total sum.
Step 3
Exam Tip
छठे से दसवें पदों का योग (145-45=100) है। कुल योग में से पहले भाग का योग घटाएँ।
Login to save your score, XP, coins and progress. Login
यदि (P) संख्या रेखा पर \( \sqrt{256}-\sqrt{121} \) पर है, तो (P) का निर्देशांक क्या है?
If (P) is at \( \sqrt{256}-\sqrt{121} \) on the number line, what is the coordinate of (P)?
#number-line
#exact-roots
#subtraction
A (5)
B (27)
C (7)
D (16)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{256}=16 \) and \( \sqrt{121}=11 \), so the difference is (5). Find each square root first.
Step 2
Why this answer is correct
The correct answer is A. (5). \( \sqrt{256}=16 \) and \( \sqrt{121}=11 \), so the difference is (5). Find each square root first.
Step 3
Exam Tip
\( \sqrt{256}=16 \) और \( \sqrt{121}=11 \), इसलिए अंतर (5) है। पहले अलग-अलग वर्गमूल निकालें।
Login to save your score, XP, coins and progress. Login
यदि (P) संख्या रेखा पर \( \sqrt{196}-\sqrt{81} \) पर है, तो (P) का निर्देशांक क्या है?
If (P) is at \( \sqrt{196}-\sqrt{81} \) on the number line, what is the coordinate of (P)?
#number-line
#exact-roots
#subtraction
A (5)
B (23)
C (7)
D (14)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{196}=14 \) and \( \sqrt{81}=9 \), so the difference is (5). Find each square root first.
Step 2
Why this answer is correct
The correct answer is A. (5). \( \sqrt{196}=14 \) and \( \sqrt{81}=9 \), so the difference is (5). Find each square root first.
Step 3
Exam Tip
\( \sqrt{196}=14 \) और \( \sqrt{81}=9 \), इसलिए अंतर (5) है। पहले अलग-अलग वर्गमूल निकालें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर \(1-\sqrt{3}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(1-\sqrt{3}\) lie on the number line?
#number-line
#irrational-numbers
#subtraction
#estimation
A (-2) और (-1) / (-2) and (-1)
B (-1) और (0) / (-1) and (0)
C (0) और (1) / (0) and (1)
D (1) और (2) / (1) and (2)
Explanation opens after your attempt
Correct Answer
B. (-1) और (0) / (-1) and (0)
Step 1
Concept
\(\sqrt{3}\approx1.73\), so \(1-\sqrt{3}\approx-0.73\). It lies between (-1) and (0).
Step 2
Why this answer is correct
The correct answer is B. (-1) और (0) / (-1) and (0). \(\sqrt{3}\approx1.73\), so \(1-\sqrt{3}\approx-0.73\). It lies between (-1) and (0).
Step 3
Exam Tip
\(\sqrt{3}\approx1.73\), इसलिए \(1-\sqrt{3}\approx-0.73\) है। यह (-1) और (0) के बीच है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर \(2-\sqrt{2}\) लगभग किस दो पूर्णांकों के बीच होगा?
Approximately between which two integers will \(2-\sqrt{2}\) lie on the number line?
#number-line
#irrational-numbers
#estimation
#subtraction
A किसी भी दो पूर्णांकों के बीच नहीं / Not between any two integers
B (0) और (1) / (0) and (1)
C (1) और (2) / (1) and (2)
D (2) और (3) / (2) and (3)
Explanation opens after your attempt
Correct Answer
B. (0) और (1) / (0) and (1)
Step 1
Concept
\(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 2
Why this answer is correct
The correct answer is B. (0) और (1) / (0) and (1). \(\sqrt{2}\) is about (1.41), so \(2-\sqrt{2}\) is about (0.59). It lies between (0) and (1).
Step 3
Exam Tip
\(\sqrt{2}\) लगभग (1.41) है इसलिए \(2-\sqrt{2}\) लगभग (0.59) होगा। यह (0) और (1) के बीच है।
Login to save your score, XP, coins and progress. Login
यदि संख्या रेखा पर (Q), (2) से (1.5) इकाई बाईं ओर है तो (Q) का मान क्या है?
If point (Q) is (1.5) units to the left of (2) on the number line, what is the value of (Q)?
#number-line
#direction
#subtraction
#decimals
A (3.5)
B (0.5)
C (1.5)
D (-0.5)
Explanation opens after your attempt
Step 1
Concept
Moving left means subtraction, so (2-1.5=0.5). On the number line direction decides the operation.
Step 2
Why this answer is correct
The correct answer is B. (0.5). Moving left means subtraction, so (2-1.5=0.5). On the number line direction decides the operation.
Step 3
Exam Tip
बाईं ओर जाने पर घटाते हैं इसलिए (2-1.5=0.5)। संख्या रेखा में दिशा से क्रिया तय होती है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (2) से बाईं ओर (5) इकाई चलने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (5) units to the left from (2) on the number line?
#movement-left
#subtraction
#number-line
A -(3)
B (3)
C (7)
D -(7)
Explanation opens after your attempt
Step 1
Concept
Moving (5) units left from (2) gives (2-5=-3). The value decreases when moving left.
Step 2
Why this answer is correct
The correct answer is A. -(3). Moving (5) units left from (2) gives (2-5=-3). The value decreases when moving left.
Step 3
Exam Tip
(2) से बाईं ओर (5) इकाई चलने पर (2-5=-3) मिलता है। बाईं ओर जाने पर मान घटता है।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -8x+15), तो (p(x)-p(3)) क्या है?
If (p(x)=x-2 -8x+15), what is (p(x)-p(3))?
#evaluation
#subtraction
#polynomial
A \(x^2-8x+15\)
B \(x^2-8x+12\)
C \(x^2-8x+9\)
D \(x^2-8x\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-8x+15\)
Step 1
Concept
(p(3)=9-24+15=0), so (p(x)-p(3)=x-2 -8x+15). Find (p(3)) first.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-8x+15\). (p(3)=9-24+15=0), so (p(x)-p(3)=x-2 -8x+15). Find (p(3)) first.
Step 3
Exam Tip
(p(3)=9-24+15=0), इसलिए (p(x)-p(3)=x-2 -8x+15)। पहले (p(3)) निकालें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -6x+5), तो (p(x)-p(1)) क्या है?
If (p(x)=x-2 -6x+5), what is (p(x)-p(1))?
#evaluation
#subtraction
#polynomial
A \(x^2-6x+5\)
B \(x^2-6x+4\)
C \(x^2-6x\)
D \(x^2-6x+6\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-6x+5\)
Step 1
Concept
(p(1)=1-6+5=0), so (p(x)-p(1)=p(x)=x-2 -6x+5). Find (p(1)) first.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-6x+5\). (p(1)=1-6+5=0), so (p(x)-p(1)=p(x)=x-2 -6x+5). Find (p(1)) first.
Step 3
Exam Tip
(p(1)=1-6+5=0), इसलिए (p(x)-p(1)=p(x)=x-2 -6x+5)। पहले (p(1)) निकालें।
Login to save your score, XP, coins and progress. Login
यदि (p(x)=x-2 -4x+1), तो (p(x)-p(1)) क्या है?
If (p(x)=x-2 -4x+1), what is (p(x)-p(1))?
#evaluation
#subtraction
#polynomial
A \(x^2-4x+4\)
B \(x^2-4x-2\)
C \(x^2-4x+1\)
D \(x^2+4x+4\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-4x+4\)
Step 1
Concept
(p(1)=1-4+1=-2), so (p(x)-p(1)=x-2 -4x+3). None of the listed choices matches this value.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-4x+4\). (p(1)=1-4+1=-2), so (p(x)-p(1)=x-2 -4x+3). None of the listed choices matches this value.
Step 3
Exam Tip
(p(1)=1-4+1=-2), इसलिए (p(x)-p(1)=x-2 -4x+3) नहीं बल्कि \(x^2-4x+3\) है। सही गणना से विकल्पों में कोई नहीं होता।
Login to save your score, XP, coins and progress. Login
(p(x)=6x-2 -x+3) से (r(x)=2x-2 +5x-8) घटाने पर क्या मिलेगा?
What is obtained when (r(x)=2x-2 +5x-8) is subtracted from (p(x)=6x-2 -x+3)?
#subtraction
#like terms
#polynomials
A \(4x^2-6x+11\)
B \(8x^2+4x-5\)
C \(4x^2+6x+11\)
D \(8x^2-6x-11\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-6x+11\)
Step 1
Concept
(p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11). Change all signs inside the bracket while subtracting.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-6x+11\). (p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11). Change all signs inside the bracket while subtracting.
Step 3
Exam Tip
(p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11)। घटाते समय कोष्ठक के सभी संकेत बदलें।
Login to save your score, XP, coins and progress. Login
(p(x)=5x-2 +3x-2) से (r(x)=2x-2 -x+4) घटाने पर क्या मिलेगा?
What is obtained when (r(x)=2x-2 -x+4) is subtracted from (p(x)=5x-2 +3x-2)?
#subtraction
#polynomials
#like terms
A \(3x^2+4x-6\)
B \(7x^2+2x+2\)
C \(3x^2+2x+2\)
D \(7x^2+4x-6\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2+4x-6\)
Step 1
Concept
(p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6). Change all signs while subtracting.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2+4x-6\). (p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6). Change all signs while subtracting.
Step 3
Exam Tip
(p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6)। घटाते समय सभी संकेत बदलें।
Login to save your score, XP, coins and progress. Login
(\(2y^3-y+5\)-\(5y^3+4y-8\)) का सरल रूप क्या है?
What is the simplified form of (\(2y^3-y+5\)-\(5y^3+4y-8\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,-3y^3-5y+13,\)
B \(,-3y^3+3y-3,\)
C \(,7y^3+3y-3,\)
D \(,-3y^3-5y-13,\)
Explanation opens after your attempt
Correct Answer
A. \(,-3y^3-5y+13,\)
Step 1
Concept
Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,-3y^3-5y+13,\). Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 3
Exam Tip
दूसरे bracket के सभी signs बदलने पर \(2y^3-y+5-5y^3-4y+8\) मिलता है। परीक्षा में subtraction में हर पद का sign बदलें।
Login to save your score, XP, coins and progress. Login
(\(5x^3-2x+7\)-\(2x^3+3x-5\)) का सरल रूप क्या है?
What is the simplified form of (\(5x^3-2x+7\)-\(2x^3+3x-5\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,3x^3-5x+12,\)
B \(,3x^3+x+2,\)
C \(,7x^3+x+2,\)
D \(,3x^3-5x-2,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^3-5x+12,\)
Step 1
Concept
Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^3-5x+12,\). Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 3
Exam Tip
दूसरे bracket के signs बदलकर \(5x^3-2x+7-2x^3-3x+5\) मिलता है, इसलिए उत्तर \(3x^3-5x+12\) है। परीक्षा में subtraction में पूरे bracket का sign बदलें।
Login to save your score, XP, coins and progress. Login
((9x+2)-(4x-6)) का सरल रूप क्या है?
What is the simplified form of ((9x+2)-(4x-6))?
#polynomials
#subtraction
#brackets
A (5x-4)
B (5x+8)
C (13x-4)
D (13x+8)
Explanation opens after your attempt
Step 1
Concept
The minus sign applies to both terms in the second bracket. (9x+2-4x+6=5x+8).
Step 2
Why this answer is correct
The correct answer is B. (5x+8). The minus sign applies to both terms in the second bracket. (9x+2-4x+6=5x+8).
Step 3
Exam Tip
ऋण चिह्न दूसरे कोष्ठक के दोनों पदों पर लगेगा। (9x+2-4x+6=5x+8) है।
Login to save your score, XP, coins and progress. Login
((7x-2)-(3x+5)) का सरल रूप क्या है?
What is the simplified form of ((7x-2)-(3x+5))?
#polynomials
#subtraction
#brackets
A (4x-7)
B (4x+3)
C (10x+3)
D (10x-7)
Explanation opens after your attempt
Step 1
Concept
The minus sign applies to both terms in the second bracket. (7x-2-3x-5=4x-7).
Step 2
Why this answer is correct
The correct answer is A. (4x-7). The minus sign applies to both terms in the second bracket. (7x-2-3x-5=4x-7).
Step 3
Exam Tip
ऋण चिह्न दूसरे कोष्ठक के दोनों पदों पर लगेगा। (7x-2-3x-5=4x-7) है।
Login to save your score, XP, coins and progress. Login
((5x+1)-(2x-4)) का सरल रूप क्या है?
What is the simplified form of ((5x+1)-(2x-4))?
#polynomials
#subtraction
#brackets
A (3x-3)
B (3x+5)
C (7x-3)
D (7x+5)
Explanation opens after your attempt
Step 1
Concept
The minus sign applies to both terms in the second bracket. (5x+1-2x+4=3x+5).
Step 2
Why this answer is correct
The correct answer is B. (3x+5). The minus sign applies to both terms in the second bracket. (5x+1-2x+4=3x+5).
Step 3
Exam Tip
ऋण चिह्न दूसरे कोष्ठक के दोनों पदों पर लगेगा। (5x+1-2x+4=3x+5) है।
Login to save your score, XP, coins and progress. Login
\(14x^5-9x^5\) का सरल रूप क्या है?
What is the simplified form of \(14x^5-9x^5\)?
#polynomials
#like terms
#subtraction
A \(5x^5\)
B \(23x^5\)
C \(5x^0\)
D \(5x^{10}\)
Explanation opens after your attempt
Correct Answer
A. \(5x^5\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(14x^5-9x^5=5x^5\). The variable and exponent stay the same.
Step 2
Why this answer is correct
The correct answer is A. \(5x^5\). For like terms, coefficients are subtracted, so \(14x^5-9x^5=5x^5\). The variable and exponent stay the same.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(14x^5-9x^5=5x^5\)। चर और घात वही रहते हैं।
Login to save your score, XP, coins and progress. Login
(13x-5x) का सरल रूप क्या है?
What is the simplified form of (13x-5x)?
#polynomials
#like terms
#subtraction
A (8x)
B (18x)
C \(8x^2\)
D (65x)
Explanation opens after your attempt
Step 1
Concept
For like terms, coefficients are subtracted, so (13x-5x=8x). The variable remains the same in like terms.
Step 2
Why this answer is correct
The correct answer is A. (8x). For like terms, coefficients are subtracted, so (13x-5x=8x). The variable remains the same in like terms.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए (13x-5x=8x)। समान पदों में चर वही रहता है।
Login to save your score, XP, coins and progress. Login
\(11x^4-7x^4\) का सरल रूप क्या है?
What is the simplified form of \(11x^4-7x^4\)?
#polynomials
#like terms
#subtraction
A \(4x^4\)
B \(18x^4\)
C \(4x^0\)
D \(4x^8\)
Explanation opens after your attempt
Correct Answer
A. \(4x^4\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(11x^4-7x^4=4x^4\). The variable and exponent stay the same.
Step 2
Why this answer is correct
The correct answer is A. \(4x^4\). For like terms, coefficients are subtracted, so \(11x^4-7x^4=4x^4\). The variable and exponent stay the same.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(11x^4-7x^4=4x^4\)। चर और घात वही रहते हैं।
Login to save your score, XP, coins and progress. Login
(10x-4x) का सरल रूप क्या है?
What is the simplified form of (10x-4x)?
#polynomials
#like terms
#subtraction
A (6x)
B (14x)
C \(6x^2\)
D (40x)
Explanation opens after your attempt
Step 1
Concept
For like terms, coefficients are subtracted, so (10x-4x=6x). Identifying like terms is the first step.
Step 2
Why this answer is correct
The correct answer is A. (6x). For like terms, coefficients are subtracted, so (10x-4x=6x). Identifying like terms is the first step.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए (10x-4x=6x)। समान पद पहचानना पहला कदम है।
Login to save your score, XP, coins and progress. Login
\(6x^3-2x^3\) का सरल रूप क्या है?
What is the simplified form of \(6x^3-2x^3\)?
#polynomials
#like terms
#subtraction
A \(4x^3\)
B \(4x^0\)
C \(8x^3\)
D \(4x^6\)
Explanation opens after your attempt
Correct Answer
A. \(4x^3\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(6x^3-2x^3=4x^3\). Variables and exponents are not subtracted.
Step 2
Why this answer is correct
The correct answer is A. \(4x^3\). For like terms, coefficients are subtracted, so \(6x^3-2x^3=4x^3\). Variables and exponents are not subtracted.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(6x^3-2x^3=4x^3\)। चर और घात नहीं घटते।
Login to save your score, XP, coins and progress. Login
(7x-2x) का सरल रूप क्या है?
What is the simplified form of (7x-2x)?
#polynomials
#like terms
#subtraction
A (5x)
B (9x)
C \(5x^2\)
D (14x)
Explanation opens after your attempt
Step 1
Concept
Subtract the coefficients of like terms, so (7x-2x=5x). The variable (x) remains the same.
Step 2
Why this answer is correct
The correct answer is A. (5x). Subtract the coefficients of like terms, so (7x-2x=5x). The variable (x) remains the same.
Step 3
Exam Tip
समान पदों के गुणांक घटाएँ इसलिए (7x-2x=5x)। चर (x) वही रहता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(5\sqrt{11}-\sqrt{275}\) का मान है?
Which option is the value of \(5\sqrt{11}-\sqrt{275}\)?
#surds
#subtraction
#rational-result
A (0)
B \(10\sqrt{11}\)
C \(5\sqrt{264}\)
D \(\sqrt{11}\)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{275}=\sqrt{25\times11}=5\sqrt{11}\). Therefore the difference is (0).
Step 2
Why this answer is correct
The correct answer is A. (0). \(\sqrt{275}=\sqrt{25\times11}=5\sqrt{11}\). Therefore the difference is (0).
Step 3
Exam Tip
\(\sqrt{275}=\sqrt{25\times11}=5\sqrt{11}\) है। इसलिए अंतर (0) है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{98}-\sqrt{8}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{98}-\sqrt{8}\)?
#surds
#subtraction
#simplification
A \(5\sqrt{2}\)
B \(9\sqrt{2}\)
C \(\sqrt{90}\)
D \(3\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{2}\)
Step 1
Concept
\(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Their difference is \(5\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{2}\). \(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Their difference is \(5\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\) है। अंतर \(5\sqrt{2}\) है।
Login to save your score, XP, coins and progress. Login
यदि \(x=2+\sqrt{10}\) और \(y=2-\sqrt{10}\) हैं तो (x-y) का सरल रूप क्या है?
If \(x=2+\sqrt{10}\) and \(y=2-\sqrt{10}\), what is the simplified form of (x-y)?
#surds
#subtraction
#expression
A \(2\sqrt{10}\)
B (4)
C (0)
D (10)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{10}\)
Step 1
Concept
On subtracting, the (2) terms cancel and (\sqrt{10}-\(-\sqrt{10}\)=2\sqrt{10}). Watch the signs carefully.
Step 2
Why this answer is correct
The correct answer is A. \(2\sqrt{10}\). On subtracting, the (2) terms cancel and (\sqrt{10}-\(-\sqrt{10}\)=2\sqrt{10}). Watch the signs carefully.
Step 3
Exam Tip
घटाने पर (2) पद कटते हैं और (\sqrt{10}-\(-\sqrt{10}\)=2\sqrt{10}) मिलता है। चिह्नों का ध्यान रखें।
Login to save your score, XP, coins and progress. Login
