Class 10 equal-roots MCQ Questions

Question 61/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

समीकरण \(3x^2-6x+3=0\) का डिस्क्रिमिनेंट (D) क्या है?

What is the discriminant (D) of \(3x^2-6x+3=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Here \(D=b^2-4ac=36-36=0\). Therefore the two real roots will be equal.

Step 2

Why this answer is correct

The correct answer is A. (0). Here \(D=b^2-4ac=36-36=0\). Therefore the two real roots will be equal.

Step 3

Exam Tip

यहां \(D=b^2-4ac=36-36=0\) है। इसलिए दोनों वास्तविक मूल बराबर होंगे।

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Question 62/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि \(x^2+ax+9=0\) के मूल (3) और (3) हैं तो (a) का मान क्या है?

If the roots of \(x^2+ax+9=0\) are (3) and (3), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

A. (-6)

Step 1

Concept

The sum of roots is (6), and (-a=6). Therefore (a=-6).

Step 2

Why this answer is correct

The correct answer is A. (-6). The sum of roots is (6), and (-a=6). Therefore (a=-6).

Step 3

Exam Tip

मूलों का योग (6) है और (-a=6) होगा। इसलिए (a=-6) है।

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Question 63/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि (D=0) और मूलों का योग (10) है तो प्रत्येक मूल क्या होगा?

If (D=0) and the sum of roots is (10), what will each root be?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

When (D=0), both roots are equal. Therefore each root is \(\frac{10}{2}=5\).

Step 2

Why this answer is correct

The correct answer is A. (5). When (D=0), both roots are equal. Therefore each root is \(\frac{10}{2}=5\).

Step 3

Exam Tip

(D=0) होने पर दोनों मूल बराबर होते हैं। इसलिए प्रत्येक मूल \(\frac{10}{2}=5\) होगा।

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Question 64/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

समीकरण \(x^2+px+16=0\) के दोनों मूल (-4) और (-4) हैं तो (p) का मान क्या है?

If both roots of \(x^2+px+16=0\) are (-4) and (-4), what is the value of (p)?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

The sum of roots is (-8), and (-p=-8). Therefore (p=8).

Step 2

Why this answer is correct

The correct answer is A. (8). The sum of roots is (-8), and (-p=-8). Therefore (p=8).

Step 3

Exam Tip

मूलों का योग (-8) है और (-p=-8) होगा। इसलिए (p=8) है।

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Question 65/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

समीकरण \(x^2-6x+k=0\) के बराबर वास्तविक मूल होने के लिए (k) का मान क्या होगा?

For \(x^2-6x+k=0\) to have equal real roots, what should be the value of (k)?

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

For equal roots (D=0). From (36-4k=0), we get (k=9).

Step 2

Why this answer is correct

The correct answer is A. (9). For equal roots (D=0). From (36-4k=0), we get (k=9).

Step 3

Exam Tip

बराबर मूलों के लिए (D=0) होता है। (36-4k=0) से (k=9) मिलता है।

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Question 66/92 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

समीकरण \(2x^2-4x+2=0\) का डिस्क्रिमिनेंट (D) क्या है?

What is the discriminant (D) of \(2x^2-4x+2=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Here \(D=b^2-4ac=16-16=0\). Therefore the two real roots will be equal.

Step 2

Why this answer is correct

The correct answer is A. (0). Here \(D=b^2-4ac=16-16=0\). Therefore the two real roots will be equal.

Step 3

Exam Tip

यहां \(D=b^2-4ac=16-16=0\) है। इसलिए दोनों वास्तविक मूल बराबर होंगे।

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Question 67/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (5) और (5) हैं तो समीकरण कौन सा है?

If both roots of a monic quadratic equation are (5) and (5), which equation is it?

Explanation opens after your attempt

Correct Answer

A. \(x^2-10x+25=0\)

Step 1

Concept

If both roots are (5), the equation is ((x-5)²=0). Expanding it gives \(x^2-10x+25=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-10x+25=0\). If both roots are (5), the equation is ((x-5)²=0). Expanding it gives \(x^2-10x+25=0\).

Step 3

Exam Tip

दोनों मूल (5) हों तो समीकरण ((x-5)²=0) होगा। इसे खोलने पर \(x^2-10x+25=0\) मिलता है।

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Question 68/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि किसी द्विघात समीकरण के मूल (r) और (r) हैं तो उनके गुणनफल का मान क्या होगा?

If the roots of a quadratic equation are (r) and (r), what will be their product?

Explanation opens after your attempt

Correct Answer

C. \(r^2\)

Step 1

Concept

The product of (r) and (r) is \(r^2\). For equal roots, remember sum (2r) and product \(r^2\).

Step 2

Why this answer is correct

The correct answer is C. \(r^2\). The product of (r) and (r) is \(r^2\). For equal roots, remember sum (2r) and product \(r^2\).

Step 3

Exam Tip

(r) और (r) का गुणनफल \(r^2\) होता है। बराबर मूलों में योग (2r) और गुणनफल \(r^2\) याद रखें।

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Question 69/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि (D=0) है तो द्विघात समीकरण के वास्तविक मूल कैसे होते हैं?

If (D=0), how are the real roots of a quadratic equation?

Explanation opens after your attempt

Correct Answer

B. दो बराबर वास्तविक मूलTwo equal real roots

Step 1

Concept

When (D=0), the two real roots are equal. Check \(D=b^2-4ac\) for the nature of roots.

Step 2

Why this answer is correct

The correct answer is B. दो बराबर वास्तविक मूल / Two equal real roots. When (D=0), the two real roots are equal. Check \(D=b^2-4ac\) for the nature of roots.

Step 3

Exam Tip

(D=0) होने पर दोनों वास्तविक मूल बराबर होते हैं। मूलों की प्रकृति के लिए \(D=b^2-4ac\) देखें।

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Question 70/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (-4) और (-4) हैं तो समीकरण कौन सा है?

If both roots of a monic quadratic equation are (-4) and (-4), which equation is it?

Explanation opens after your attempt

Correct Answer

A. \(x^2+8x+16=0\)

Step 1

Concept

If both roots are (-4), the equation is ((x+4)²=0). Expanding it gives \(x^2+8x+16=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+8x+16=0\). If both roots are (-4), the equation is ((x+4)²=0). Expanding it gives \(x^2+8x+16=0\).

Step 3

Exam Tip

दोनों मूल (-4) हों तो समीकरण ((x+4)²=0) होगा। इसे खोलने पर \(x^2+8x+16=0\) मिलता है।

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Question 71/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (7) और (7) हैं तो समीकरण कौन सा है?

If both roots of a monic quadratic equation are (7) and (7) then which equation is it?

Explanation opens after your attempt

Correct Answer

A. \(x^2-14x+49=0\)

Step 1

Concept

With both roots (7) we get ((x-7)²=0) which is \(x^2-14x+49=0\). Form a perfect square from repeated roots.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-14x+49=0\). With both roots (7) we get ((x-7)²=0) which is \(x^2-14x+49=0\). Form a perfect square from repeated roots.

Step 3

Exam Tip

दोनों मूल (7) होने पर ((x-7)²=0) मिलता है जो \(x^2-14x+49=0\) है। दोहराए मूल से पूर्ण वर्ग बनाएं।

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Question 72/92 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि किसी द्विघात समीकरण के दो बराबर वास्तविक मूल हों तो डिस्क्रिमिनेंट (D) का मान कैसा होता है?

If a quadratic equation has two equal real roots then what is the value of discriminant (D)?

Explanation opens after your attempt

Correct Answer

B. (D=0)

Step 1

Concept

For equal real roots (D=0). The discriminant quickly tells the nature of roots.

Step 2

Why this answer is correct

The correct answer is B. (D=0). For equal real roots (D=0). The discriminant quickly tells the nature of roots.

Step 3

Exam Tip

बराबर वास्तविक मूलों के लिए (D=0) होता है। डिस्क्रिमिनेंट से मूलों की प्रकृति जल्दी पता चलती है।

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Question 73/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि समीकरण \(x^2+bx+144=0\) के दोनों मूल समान हैं और उनका मान (-12) है, तो (b) क्या है?

If both roots of \(x^2+bx+144=0\) are equal and their value is (-12), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (24)

Step 1

Concept

Both roots are (-12), so the sum is (-24). Here the sum of roots is (-b), so (b=24).

Step 2

Why this answer is correct

The correct answer is A. (24). Both roots are (-12), so the sum is (-24). Here the sum of roots is (-b), so (b=24).

Step 3

Exam Tip

दोनों मूल (-12) हैं, इसलिए योग (-24) है। यहाँ मूलों का योग (-b) है, अतः (b=24)।

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Question 74/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-2mx+64=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

If the roots of \(x^2-2mx+64=0\) are equal, what are the possible values of (m)?

Explanation opens after your attempt

Correct Answer

A. \(m=\pm8\)

Step 1

Concept

For equal roots, (D=0) is needed. Here ((-2m)²-256=0), so \(m=\pm8\).

Step 2

Why this answer is correct

The correct answer is A. \(m=\pm8\). For equal roots, (D=0) is needed. Here ((-2m)²-256=0), so \(m=\pm8\).

Step 3

Exam Tip

समान मूलों के लिए (D=0) चाहिए। यहाँ ((-2m)²-256=0), इसलिए \(m=\pm8\)।

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Question 75/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि समीकरण \(x^2+bx+100=0\) के दोनों मूल समान हैं और उनका मान (-10) है, तो (b) क्या है?

If both roots of \(x^2+bx+100=0\) are equal and their value is (-10), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (20)

Step 1

Concept

Both roots are (-10), so the sum is (-20). Here the sum of roots is (-b), so (b=20).

Step 2

Why this answer is correct

The correct answer is A. (20). Both roots are (-10), so the sum is (-20). Here the sum of roots is (-b), so (b=20).

Step 3

Exam Tip

दोनों मूल (-10) हैं, इसलिए योग (-20) है। यहाँ मूलों का योग (-b) है, अतः (b=20)।

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Question 76/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2-2mx+49=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

If the roots of \(x^2-2mx+49=0\) are equal, what are the possible values of (m)?

Explanation opens after your attempt

Correct Answer

A. \(m=\pm7\)

Step 1

Concept

For equal roots, (D=0) is needed. Here ((-2m)²-196=0), so \(m=\pm7\).

Step 2

Why this answer is correct

The correct answer is A. \(m=\pm7\). For equal roots, (D=0) is needed. Here ((-2m)²-196=0), so \(m=\pm7\).

Step 3

Exam Tip

समान मूलों के लिए (D=0) चाहिए। यहाँ ((-2m)²-196=0), इसलिए \(m=\pm7\)।

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Question 77/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि समीकरण \(x^2+bx+64=0\) के दोनों मूल समान हैं और उनका मान (-8) है, तो (b) क्या है?

If both roots of \(x^2+bx+64=0\) are equal and their value is (-8), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (16)

Step 1

Concept

Both roots are (-8), so the sum is (-16). Here the sum of roots is (-b), so (b=16).

Step 2

Why this answer is correct

The correct answer is A. (16). Both roots are (-8), so the sum is (-16). Here the sum of roots is (-b), so (b=16).

Step 3

Exam Tip

दोनों मूल (-8) हैं, इसलिए योग (-16) है। यहाँ मूलों का योग (-b) है, अतः (b=16)।

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Question 78/92 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2-2mx+36=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

If the roots of \(x^2-2mx+36=0\) are equal, what are the possible values of (m)?

Explanation opens after your attempt

Correct Answer

A. \(m=\pm6\)

Step 1

Concept

For equal roots, (D=0), so ((-2m)²-144=0). This gives \(m^2=36\) and \(m=\pm6\).

Step 2

Why this answer is correct

The correct answer is A. \(m=\pm6\). For equal roots, (D=0), so ((-2m)²-144=0). This gives \(m^2=36\) and \(m=\pm6\).

Step 3

Exam Tip

समान मूलों के लिए (D=0), अतः ((-2m)²-144=0) होगा। इससे \(m^2=36\) और \(m=\pm6\) है।

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Question 79/92 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि समीकरण \(x^2+bx+49=0\) के दोनों मूल समान हैं और उनका मान (-7) है, तो (b) क्या है?

If both roots of \(x^2+bx+49=0\) are equal and their value is (-7), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (14)

Step 1

Concept

Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

Step 2

Why this answer is correct

The correct answer is A. (14). Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

Step 3

Exam Tip

दोनों मूल (-7) हैं, इसलिए योग (-14) है। यहाँ मूलों का योग (-b) है, अतः (b=14)।

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Question 80/92 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-2kx+25=0\) के मूल समान हैं, तो (k) के संभावित मान क्या हैं?

If the roots of \(x^2-2kx+25=0\) are equal, what are the possible values of (k)?

Explanation opens after your attempt

Correct Answer

A. \(k=\pm5\)

Step 1

Concept

For equal roots, (D=0), so ((-2k)²-100=0). This gives \(k^2=25\) and \(k=\pm5\).

Step 2

Why this answer is correct

The correct answer is A. \(k=\pm5\). For equal roots, (D=0), so ((-2k)²-100=0). This gives \(k^2=25\) and \(k=\pm5\).

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए ((-2k)²-100=0) मिलता है। इससे \(k^2=25\) और \(k=\pm5\) है।

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Question 81/92 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि समीकरण \(x^2+bx+25=0\) के दोनों मूल समान हैं और उनका मान (-5) है, तो (b) क्या है?

If both roots of \(x^2+bx+25=0\) are equal and their value is (-5), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

Both roots are (-5), so their sum is (-10). Here the sum of roots is (-b), so (b=10).

Step 2

Why this answer is correct

The correct answer is A. (10). Both roots are (-5), so their sum is (-10). Here the sum of roots is (-b), so (b=10).

Step 3

Exam Tip

दोनों मूल (-5) हैं, इसलिए योग (-10) है। यहाँ मूलों का योग (-b) है, अतः (b=10)।

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Question 82/92 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2-2kx+16=0\) के मूल समान हैं, तो (k) के संभावित मान क्या हैं?

If the roots of \(x^2-2kx+16=0\) are equal, what are the possible values of (k)?

Explanation opens after your attempt

Correct Answer

A. \(k=\pm4\)

Step 1

Concept

For equal roots, (D=0), so ((-2k)²-64=0). This gives \(k^2=16\) and \(k=\pm4\).

Step 2

Why this answer is correct

The correct answer is A. \(k=\pm4\). For equal roots, (D=0), so ((-2k)²-64=0). This gives \(k^2=16\) and \(k=\pm4\).

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए ((-2k)²-64=0) मिलता है। इससे \(k^2=16\) और \(k=\pm4\) है।

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Question 83/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि द्विघात समीकरण \(x^2-18x+k=0\) के मूल समान हैं, तो (k) क्या होगा?

If the roots of \(x^2-18x+k=0\) are equal, what is (k)?

Explanation opens after your attempt

Correct Answer

B. (81)

Step 1

Concept

For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

Step 2

Why this answer is correct

The correct answer is B. (81). For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए (324-4k=0) और (k=81)। समान मूल की शर्त में विवेचक शून्य रखें।

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Question 84/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2+ux+64=0\) के मूल (8) और (8) हैं, तो (u) का मान क्या होगा?

If the roots of \(x^2+ux+64=0\) are (8) and (8), what is the value of (u)?

Explanation opens after your attempt

Correct Answer

B. (-16)

Step 1

Concept

The sum of roots is (16), and in \(x^2+ux+64=0\), the sum is (-u). Therefore (u=-16).

Step 2

Why this answer is correct

The correct answer is B. (-16). The sum of roots is (16), and in \(x^2+ux+64=0\), the sum is (-u). Therefore (u=-16).

Step 3

Exam Tip

मूलों का योग (16) है और \(x^2+ux+64=0\) में योग (-u) होता है। इसलिए (u=-16) है।

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Question 85/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण \(25x^2-20x+4=0\) का विवेचक (D) क्या है?

What is the discriminant (D) of \(25x^2-20x+4=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Here (D=(-20)²-4\cdot25\cdot4=400-400=0). (D=0) indicates equal roots.

Step 2

Why this answer is correct

The correct answer is A. (0). Here (D=(-20)²-4\cdot25\cdot4=400-400=0). (D=0) indicates equal roots.

Step 3

Exam Tip

यहाँ (D=(-20)²-4\cdot25\cdot4=400-400=0) है। (D=0) समान मूलों का संकेत देता है।

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Question 86/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि द्विघात समीकरण \(x^2-14x+k=0\) के मूल समान हैं, तो (k) क्या होगा?

If the roots of \(x^2-14x+k=0\) are equal, what is (k)?

Explanation opens after your attempt

Correct Answer

B. (49)

Step 1

Concept

For equal roots, (D=0), so (196-4k=0) and (k=49). For equal roots, set the discriminant to zero.

Step 2

Why this answer is correct

The correct answer is B. (49). For equal roots, (D=0), so (196-4k=0) and (k=49). For equal roots, set the discriminant to zero.

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए (196-4k=0) और (k=49)। समान मूल की शर्त में विवेचक शून्य रखें।

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Question 87/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2+rx+36=0\) के मूल (6) और (6) हैं, तो (r) का मान क्या होगा?

If the roots of \(x^2+rx+36=0\) are (6) and (6), what is the value of (r)?

Explanation opens after your attempt

Correct Answer

B. (-12)

Step 1

Concept

The sum of roots is (12), and in \(x^2+rx+36=0\) the sum is (-r). Therefore (r=-12).

Step 2

Why this answer is correct

The correct answer is B. (-12). The sum of roots is (12), and in \(x^2+rx+36=0\) the sum is (-r). Therefore (r=-12).

Step 3

Exam Tip

मूलों का योग (12) है और \(x^2+rx+36=0\) में योग (-r) होता है। इसलिए (r=-12) है।

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Question 88/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(9x^2-12x+4=0\) का विवेचक (D) क्या है?

What is the discriminant (D) of \(9x^2-12x+4=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Here (D=(-12)²-4\cdot9\cdot4=144-144=0). Even if (b) is negative, \(b^2\) is positive.

Step 2

Why this answer is correct

The correct answer is A. (0). Here (D=(-12)²-4\cdot9\cdot4=144-144=0). Even if (b) is negative, \(b^2\) is positive.

Step 3

Exam Tip

यहाँ (D=(-12)²-4\cdot9\cdot4=144-144=0) है। (b) ऋणात्मक हो तो भी \(b^2\) धनात्मक होता है।

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Question 89/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि द्विघात समीकरण \(x^2-6x+k=0\) के मूल समान हैं, तो (k) क्या होगा?

If the roots of \(x^2-6x+k=0\) are equal, what is (k)?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

For equal roots, (D=0), so (36-4k=0) and (k=9). Set the discriminant to zero for equal roots.

Step 2

Why this answer is correct

The correct answer is B. (9). For equal roots, (D=0), so (36-4k=0) and (k=9). Set the discriminant to zero for equal roots.

Step 3

Exam Tip

समान मूलों के लिए (D=0), इसलिए (36-4k=0) और (k=9)। समान मूल की शर्त में विवेचक शून्य रखें।

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Question 90/92 Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2+px+16=0\) के मूल (4) और (4) हैं, तो (p) का मान क्या होगा?

If the roots of \(x^2+px+16=0\) are (4) and (4), what is the value of (p)?

Explanation opens after your attempt

Correct Answer

B. (-8)

Step 1

Concept

The sum of roots is (8), and in \(x^2+px+16=0\) the sum is (-p). Therefore (p=-8).

Step 2

Why this answer is correct

The correct answer is B. (-8). The sum of roots is (8), and in \(x^2+px+16=0\) the sum is (-p). Therefore (p=-8).

Step 3

Exam Tip

मूलों का योग (8) है और \(x^2+px+16=0\) में योग (-p) होता है। इसलिए (p=-8) है।

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equal-roots MCQ Questions for Class 10

Practice Questions

समीकरण \(3x^2-6x+3=0\) का डिस्क्रिमिनेंट (D) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^2+ax+9=0\) के मूल (3) और (3) हैं तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (D=0) और मूलों का योग (10) है तो प्रत्येक मूल क्या होगा?

Concept

Why this answer is correct

Exam Tip

समीकरण \(x^2+px+16=0\) के दोनों मूल (-4) और (-4) हैं तो (p) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण \(x^2-6x+k=0\) के बराबर वास्तविक मूल होने के लिए (k) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

समीकरण \(2x^2-4x+2=0\) का डिस्क्रिमिनेंट (D) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (5) और (5) हैं तो समीकरण कौन सा है?

Concept

Why this answer is correct

Exam Tip

यदि किसी द्विघात समीकरण के मूल (r) और (r) हैं तो उनके गुणनफल का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (D=0) है तो द्विघात समीकरण के वास्तविक मूल कैसे होते हैं?

Concept

Why this answer is correct

Exam Tip

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (-4) और (-4) हैं तो समीकरण कौन सा है?

Concept

Why this answer is correct

Exam Tip

यदि किसी मोनिक द्विघात समीकरण के दोनों मूल (7) और (7) हैं तो समीकरण कौन सा है?

Concept

Why this answer is correct

Exam Tip

यदि किसी द्विघात समीकरण के दो बराबर वास्तविक मूल हों तो डिस्क्रिमिनेंट (D) का मान कैसा होता है?

Concept

Why this answer is correct

Exam Tip

यदि समीकरण \(x^2+bx+144=0\) के दोनों मूल समान हैं और उनका मान (-12) है, तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^2-2mx+64=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

Concept

Why this answer is correct

Exam Tip

यदि समीकरण \(x^2+bx+100=0\) के दोनों मूल समान हैं और उनका मान (-10) है, तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^2-2mx+49=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

Concept

Why this answer is correct

Exam Tip

यदि समीकरण \(x^2+bx+64=0\) के दोनों मूल समान हैं और उनका मान (-8) है, तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^2-2mx+36=0\) के मूल समान हैं, तो (m) के संभावित मान क्या हैं?

Concept

Why this answer is correct

Exam Tip

यदि समीकरण \(x^2+bx+49=0\) के दोनों मूल समान हैं और उनका मान (-7) है, तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^2-2kx+25=0\) के मूल समान हैं, तो (k) के संभावित मान क्या हैं?

Concept