Question 1/14
Expert Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36
\(30x^2-61x+30=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(30x^2-61x+30=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(30x^2-36x-25x+30=0\)
B \(30x^2-40x-21x+30=0\)
C \(30x^2-30x-31x+30=0\)
D \(30x^2-45x-16x+30=0\)
Explanation opens after your attempt
Correct Answer
A. \(30x^2-36x-25x+30=0\)
Step 1
Concept
Here (ac=900) and (-36+(-25)=-61), so the correct split is (-36x-25x). In exams, even for large (ac), match both sum and product.
Step 2
Why this answer is correct
The correct answer is A. \(30x^2-36x-25x+30=0\). Here (ac=900) and (-36+(-25)=-61), so the correct split is (-36x-25x). In exams, even for large (ac), match both sum and product.
Step 3
Exam Tip
यहां (ac=900) और (-36+(-25)=-61), इसलिए सही विभाजन (-36x-25x) है। परीक्षा में बड़ा (ac) हो तो भी योग और गुणनफल दोनों मिलाएं।
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Question 2/14
Expert Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35
\(24x^2-50x+25=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(24x^2-50x+25=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(24x^2-30x-20x+25=0\)
B \(24x^2-40x-10x+25=0\)
C \(24x^2-24x-26x+25=0\)
D \(24x^2-35x-15x+25=0\)
Explanation opens after your attempt
Correct Answer
A. \(24x^2-30x-20x+25=0\)
Step 1
Concept
Here (ac=600) and (-30+(-20)=-50), so the correct split is (-30x-20x). In exams, even for large (ac), match both sum and product.
Step 2
Why this answer is correct
The correct answer is A. \(24x^2-30x-20x+25=0\). Here (ac=600) and (-30+(-20)=-50), so the correct split is (-30x-20x). In exams, even for large (ac), match both sum and product.
Step 3
Exam Tip
यहां (ac=600) और (-30+(-20)=-50), इसलिए सही विभाजन (-30x-20x) है। परीक्षा में बड़ा (ac) हो तो भी योग और गुणनफल दोनों मिलाएं।
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Question 3/14
Expert Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34
\(20x^2-43x+21=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(20x^2-43x+21=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(20x^2-28x-15x+21=0\)
B \(20x^2-35x-8x+21=0\)
C \(20x^2-20x-23x+21=0\)
D \(20x^2-30x-13x+21=0\)
Explanation opens after your attempt
Correct Answer
A. \(20x^2-28x-15x+21=0\)
Step 1
Concept
Here (ac=420) and (-28+(-15)=-43), so the correct split is (-28x-15x). In exams, even when (ac) is large, match both sum and product.
Step 2
Why this answer is correct
The correct answer is A. \(20x^2-28x-15x+21=0\). Here (ac=420) and (-28+(-15)=-43), so the correct split is (-28x-15x). In exams, even when (ac) is large, match both sum and product.
Step 3
Exam Tip
यहां (ac=420) और (-28+(-15)=-43), इसलिए सही विभाजन (-28x-15x) है। परीक्षा में (ac) बड़ा हो तो भी योग और गुणनफल दोनों मिलाएं।
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Question 4/14
Hard Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36
\(18x^2-27x+10=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(18x^2-27x+10=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(18x^2-15x-12x+10=0\)
B \(18x^2-18x-9x+10=0\)
C \(18x^2-20x-7x+10=0\)
D \(18x^2-30x+3x+10=0\)
Explanation opens after your attempt
Correct Answer
A. \(18x^2-15x-12x+10=0\)
Step 1
Concept
Here (ac=180) and (-15+(-12)=-27), so the correct split is (-15x-12x). In exams, match both sum (b) and product (ac).
Step 2
Why this answer is correct
The correct answer is A. \(18x^2-15x-12x+10=0\). Here (ac=180) and (-15+(-12)=-27), so the correct split is (-15x-12x). In exams, match both sum (b) and product (ac).
Step 3
Exam Tip
यहां (ac=180) और (-15+(-12)=-27), इसलिए सही विभाजन (-15x-12x) है। परीक्षा में योग (b) और गुणनफल (ac) दोनों मिलाएं।
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Question 5/14
Hard Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35
\(15x^2+16x+4=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(15x^2+16x+4=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(15x^2+10x+6x+4=0\)
B \(15x^2+12x+4x+4=0\)
C \(15x^2+15x+x+4=0\)
D \(15x^2+20x-4x+4=0\)
Explanation opens after your attempt
Correct Answer
A. \(15x^2+10x+6x+4=0\)
Step 1
Concept
Here (ac=60) and (10+6=16), so (16x) is split as (10x+6x). In exams, check both sum (b) and product (ac).
Step 2
Why this answer is correct
The correct answer is A. \(15x^2+10x+6x+4=0\). Here (ac=60) and (10+6=16), so (16x) is split as (10x+6x). In exams, check both sum (b) and product (ac).
Step 3
Exam Tip
यहां (ac=60) और (10+6=16), इसलिए (16x) को (10x+6x) में तोड़ते हैं। परीक्षा में योग (b) और गुणनफल (ac) दोनों जांचें।
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Question 6/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36
\(8x^2-2x-3=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(8x^2-2x-3=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(8x^2+4x-6x-3=0\)
B \(8x^2+2x-4x-3=0\)
C \(8x^2+6x-8x-3=0\)
D \(8x^2-4x+2x-3=0\)
Explanation opens after your attempt
Correct Answer
A. \(8x^2+4x-6x-3=0\)
Step 1
Concept
(ac=-24) and (4+(-6)=-2), so (-2x) is split as (4x-6x). In exams, check the sign of (ac) carefully.
Step 2
Why this answer is correct
The correct answer is A. \(8x^2+4x-6x-3=0\). (ac=-24) and (4+(-6)=-2), so (-2x) is split as (4x-6x). In exams, check the sign of (ac) carefully.
Step 3
Exam Tip
(ac=-24) और (4+(-6)=-2), इसलिए (-2x) को (4x-6x) में तोड़ते हैं। परीक्षा में (ac) का संकेत ध्यान से देखें।
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Question 7/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36
\(10x^2-17x+3=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(10x^2-17x+3=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(10x^2-15x-2x+3=0\)
B \(10x^2-12x-5x+3=0\)
C \(10x^2-10x-7x+3=0\)
D \(10x^2-20x+3x+3=0\)
Explanation opens after your attempt
Correct Answer
A. \(10x^2-15x-2x+3=0\)
Step 1
Concept
Here (ac=30) and (-15+(-2)=-17), so the middle term is (-15x-2x). In exams, check both sum and product.
Step 2
Why this answer is correct
The correct answer is A. \(10x^2-15x-2x+3=0\). Here (ac=30) and (-15+(-2)=-17), so the middle term is (-15x-2x). In exams, check both sum and product.
Step 3
Exam Tip
यहां (ac=30) और (-15+(-2)=-17), इसलिए मध्य पद (-15x-2x) होगा। परीक्षा में योग और गुणनफल दोनों जांचें।
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Question 8/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35
\(6x^2+x-2=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(6x^2+x-2=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(6x^2+4x-3x-2=0\)
B \(6x^2+3x-2x-2=0\)
C \(6x^2+6x-5x-2=0\)
D \(6x^2-4x+5x-2=0\)
Explanation opens after your attempt
Correct Answer
A. \(6x^2+4x-3x-2=0\)
Step 1
Concept
(ac=-12) and (4+(-3)=1), so (x) is split as (4x-3x). In exams, check the sign of (ac) carefully.
Step 2
Why this answer is correct
The correct answer is A. \(6x^2+4x-3x-2=0\). (ac=-12) and (4+(-3)=1), so (x) is split as (4x-3x). In exams, check the sign of (ac) carefully.
Step 3
Exam Tip
(ac=-12) और (4+(-3)=1), इसलिए (x) को (4x-3x) में तोड़ते हैं। परीक्षा में (ac) का संकेत ध्यान से देखें।
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Question 9/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35
\(8x^2+14x+3=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(8x^2+14x+3=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(8x^2+12x+2x+3=0\)
B \(8x^2+10x+4x+3=0\)
C \(8x^2+8x+6x+3=0\)
D \(8x^2+16x-2x+3=0\)
Explanation opens after your attempt
Correct Answer
A. \(8x^2+12x+2x+3=0\)
Step 1
Concept
Here (ac=24) and (12+2=14), so (14x) is split as (12x+2x). In exams, find (ac) first.
Step 2
Why this answer is correct
The correct answer is A. \(8x^2+12x+2x+3=0\). Here (ac=24) and (12+2=14), so (14x) is split as (12x+2x). In exams, find (ac) first.
Step 3
Exam Tip
यहां (ac=24) और (12+2=14), इसलिए (14x) को (12x+2x) में तोड़ते हैं। परीक्षा में पहले (ac) निकालें।
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Question 10/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34
\(2x^2+x-6=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(2x^2+x-6=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(2x^2+4x-3x-6=0\)
B \(2x^2+3x-2x-6=0\)
C \(2x^2+6x-5x-6=0\)
D \(2x^2-4x+5x-6=0\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2+4x-3x-6=0\)
Step 1
Concept
(ac=-12) and (4+(-3)=1), so (x) is split as (4x-3x). In exams, check the sign of (ac) carefully.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2+4x-3x-6=0\). (ac=-12) and (4+(-3)=1), so (x) is split as (4x-3x). In exams, check the sign of (ac) carefully.
Step 3
Exam Tip
(ac=-12) और (4+(-3)=1), इसलिए (x) को (4x-3x) में तोड़ते हैं। परीक्षा में (ac) का संकेत ध्यान से देखें।
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Question 11/14
Medium Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34
\(6x^2+11x+3=0\) में मध्य पद का सही विभाजन कौनसा है?
What is the correct splitting of the middle term in \(6x^2+11x+3=0\)?
#quadratic
#middle-term-splitting
#ac-method
A \(6x^2+9x+2x+3=0\)
B \(6x^2+8x+3x+3=0\)
C \(6x^2+6x+5x+3=0\)
D \(6x^2+12x-x+3=0\)
Explanation opens after your attempt
Correct Answer
A. \(6x^2+9x+2x+3=0\)
Step 1
Concept
Here (ac=18) and (9+2=11), so (11x) is split as (9x+2x). In exams, check both sum (b) and product (ac).
Step 2
Why this answer is correct
The correct answer is A. \(6x^2+9x+2x+3=0\). Here (ac=18) and (9+2=11), so (11x) is split as (9x+2x). In exams, check both sum (b) and product (ac).
Step 3
Exam Tip
यहां (ac=18) और (9+2=11), इसलिए (11x) को (9x+2x) में तोड़ते हैं। परीक्षा में योग (b) और गुणनफल (ac) दोनों जांचें।
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Question 12/14
Easy Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36
मध्य पद विभाजन में \(4x^2+13x+3=0\) के लिए (ac) का मान क्या है?
In middle term splitting for \(4x^2+13x+3=0\), what is the value of (ac)?
#quadratic
#ac-method
#middle-term
A (12)
B (13)
C (7)
D (3)
Explanation opens after your attempt
Step 1
Concept
Here (a=4) and (c=3), so (ac=12). In exams, finding (ac) first helps.
Step 2
Why this answer is correct
The correct answer is A. (12). Here (a=4) and (c=3), so (ac=12). In exams, finding (ac) first helps.
Step 3
Exam Tip
यहां (a=4) और (c=3), इसलिए (ac=12) है। परीक्षा में पहले (ac) निकालना मदद करता है।
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Question 13/14
Easy Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35
मध्य पद विभाजन में \(3x^2+10x+3=0\) के लिए (ac) का मान क्या है?
In middle term splitting for \(3x^2+10x+3=0\), what is the value of (ac)?
#quadratic
#ac-method
#middle-term
A (9)
B (10)
C (13)
D (3)
Explanation opens after your attempt
Step 1
Concept
Here (a=3) and (c=3), so (ac=9). In exams, finding (ac) first helps.
Step 2
Why this answer is correct
The correct answer is A. (9). Here (a=3) and (c=3), so (ac=9). In exams, finding (ac) first helps.
Step 3
Exam Tip
यहां (a=3) और (c=3), इसलिए (ac=9) है। परीक्षा में पहले (ac) निकालना मदद करता है।
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Question 14/14
Easy Mathematics
Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34
मध्य पद विभाजन विधि में \(2x^2+7x+3=0\) के लिए (ac) का मान क्या है?
In middle term splitting method for \(2x^2+7x+3=0\), what is the value of (ac)?
#quadratic
#middle-term-splitting
#ac-method
A (6)
B (7)
C (10)
D (3)
Explanation opens after your attempt
Step 1
Concept
Here (a=2) and (c=3), so (ac=6). In exams, finding (ac) makes middle term splitting easier.
Step 2
Why this answer is correct
The correct answer is A. (6). Here (a=2) and (c=3), so (ac=6). In exams, finding (ac) makes middle term splitting easier.
Step 3
Exam Tip
यहां (a=2) और (c=3), इसलिए (ac=6) है। परीक्षा में (ac) निकालकर मध्य पद तोड़ना आसान होता है।
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