Question 31/39
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
किस विकल्प में (x=1) और (x=4) मूल हैं?
Which option has roots (x=1) and (x=4)?
Explanation opens after your attempt
Correct Answer
A. \(x^2-5x+4=0\)
Step 1
Concept
If the roots are (1) and (4), the factors are ((x-1)) and ((x-4)). Their product gives \(x^2-5x+4=0\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-5x+4=0\). If the roots are (1) and (4), the factors are ((x-1)) and ((x-4)). Their product gives \(x^2-5x+4=0\).
Step 3
Exam Tip
मूल (1) और (4) हों तो गुणनखंड ((x-1)) और ((x-4)) होंगे। इनका गुणन \(x^2-5x+4=0\) देता है।
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Question 32/39
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
यदि किसी द्विघात समीकरण में (a=2), (b=-7), (c=3) हैं, तो समीकरण कौन-सा है?
If a quadratic equation has (a=2), (b=-7), (c=3), which equation is it?
Explanation opens after your attempt
Correct Answer
B. \(2x^2-7x+3=0\)
Step 1
Concept
Substituting in \(ax^2+bx+c=0\) gives \(2x^2-7x+3=0\). Keep the negative sign of (b).
Step 2
Why this answer is correct
The correct answer is B. \(2x^2-7x+3=0\). Substituting in \(ax^2+bx+c=0\) gives \(2x^2-7x+3=0\). Keep the negative sign of (b).
Step 3
Exam Tip
मानक रूप \(ax^2+bx+c=0\) में मान रखने पर \(2x^2-7x+3=0\) मिलता है। (b) का ऋण चिन्ह साथ रखें।
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Question 33/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
यदि (a=3,\ b=0,\ c=-12) हैं तो संबंधित द्विघात समीकरण कौन-सा है?
If (a=3,\ b=0,\ c=-12), which is the corresponding quadratic equation?
Explanation opens after your attempt
Correct Answer
A. \(3x^2-12=0\)
Step 1
Concept
Substituting in \(ax^2+bx+c=0\) gives \(3x^2+0x-12=0\). Simplifying gives \(3x^2-12=0\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^2-12=0\). Substituting in \(ax^2+bx+c=0\) gives \(3x^2+0x-12=0\). Simplifying gives \(3x^2-12=0\).
Step 3
Exam Tip
मानक रूप \(ax^2+bx+c=0\) में मान रखने पर \(3x^2+0x-12=0\) मिलता है। इसे सरल करने पर \(3x^2-12=0\) है।
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Question 34/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
जिन मूलों में (0) और (-3) हों उनके लिए सही द्विघात समीकरण कौन-सा है?
Which quadratic equation has roots (0) and (-3)?
Explanation opens after your attempt
Correct Answer
A. \(x^2+3x=0\)
Step 1
Concept
For roots (0) and (-3), the factors are (x) and (x+3). So the equation is (x(x+3)=0), that is \(x^2+3x=0\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+3x=0\). For roots (0) and (-3), the factors are (x) and (x+3). So the equation is (x(x+3)=0), that is \(x^2+3x=0\).
Step 3
Exam Tip
मूल (0) और (-3) होने पर गुणनखंड (x) और (x+3) होंगे। इसलिए समीकरण (x(x+3)=0) यानी \(x^2+3x=0\) है।
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Question 35/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
किसी संख्या का वर्ग उस संख्या के (5) गुने से (6) अधिक है। यदि संख्या (x) है तो समीकरण क्या होगा?
The square of a number is (6) more than (5) times the number. If the number is (x), what is the equation?
Explanation opens after your attempt
Correct Answer
A. \(x^2=5x+6\)
Step 1
Concept
The square is \(x^2\), and (6) more than (5) times the number is (5x+6). So the equation is \(x^2=5x+6\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2=5x+6\). The square is \(x^2\), and (6) more than (5) times the number is (5x+6). So the equation is \(x^2=5x+6\).
Step 3
Exam Tip
संख्या का वर्ग \(x^2\) और (5) गुने से (6) अधिक (5x+6) है। इसलिए समीकरण \(x^2=5x+6\) बनेगा।
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Question 36/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
यदि (a=2), (b=0), (c=-18) हैं तो समीकरण क्या होगा?
If (a=2), (b=0), (c=-18), what is the equation?
Explanation opens after your attempt
Correct Answer
A. \(2x^2-18=0\)
Step 1
Concept
Substituting in standard form gives \(2x^2+0x-18=0\). This is written as \(2x^2-18=0\).
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-18=0\). Substituting in standard form gives \(2x^2+0x-18=0\). This is written as \(2x^2-18=0\).
Step 3
Exam Tip
मानक रूप में रखने पर \(2x^2+0x-18=0\) मिलता है। इसे \(2x^2-18=0\) लिखते हैं।
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Question 37/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
कौन सा रूप (a=3), (b=-4), (c=-2) को दर्शाता है?
Which form represents (a=3), (b=-4), (c=-2)?
Explanation opens after your attempt
Correct Answer
A. \(3x^2-4x-2=0\)
Step 1
Concept
Putting the values in \(ax^2+bx+c=0\) gives \(3x^2-4x-2=0\). Watch the sign of (b).
Step 2
Why this answer is correct
The correct answer is A. \(3x^2-4x-2=0\). Putting the values in \(ax^2+bx+c=0\) gives \(3x^2-4x-2=0\). Watch the sign of (b).
Step 3
Exam Tip
मानक रूप \(ax^2+bx+c=0\) में मान रखने पर \(3x^2-4x-2=0\) मिलता है। (b) का चिन्ह ध्यान रखें।
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Question 38/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
यदि (a=1), (b=0), (c=-25) हैं तो समीकरण क्या होगा?
If (a=1), (b=0), (c=-25), what is the equation?
Explanation opens after your attempt
Correct Answer
A. \(x^2-25=0\)
Step 1
Concept
Substituting in \(ax^2+bx+c=0\) gives \(x^2+0x-25=0\). This is written as \(x^2-25=0\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-25=0\). Substituting in \(ax^2+bx+c=0\) gives \(x^2+0x-25=0\). This is written as \(x^2-25=0\).
Step 3
Exam Tip
\(ax^2+bx+c=0\) में रखने पर \(x^2+0x-25=0\) मिलता है। इसे \(x^2-25=0\) लिखते हैं।
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Question 39/39
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
कौन सा रूप \(ax^2+bx+c=0\) में (a=2), (b=-5), (c=3) को दर्शाता है?
Which form represents (a=2), (b=-5), (c=3) in \(ax^2+bx+c=0\)?
Explanation opens after your attempt
Correct Answer
A. \(2x^2-5x+3=0\)
Step 1
Concept
Putting the given values in standard form gives \(2x^2-5x+3=0\). Keep the sign of (b) carefully.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-5x+3=0\). Putting the given values in standard form gives \(2x^2-5x+3=0\). Keep the sign of (b) carefully.
Step 3
Exam Tip
दिए गए मान सीधे मानक रूप में रखने पर \(2x^2-5x+3=0\) मिलता है। (b) का चिन्ह ध्यान रखें।
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