Concept-wise Practice

pure quadratic MCQ Questions for Class 10

pure quadratic se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

10 questions tagged with pure quadratic.

किस समीकरण में मूलों का योग (0) होगा?

Which equation will have sum of roots (0)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-36=0\)

Step 1

Concept

In \(x^2-36=0\), (b=0), so the sum of roots is \(-\frac{b}{a}=0\). If the (x) term is absent, the sum can be (0).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-36=0\). In \(x^2-36=0\), (b=0), so the sum of roots is \(-\frac{b}{a}=0\). If the (x) term is absent, the sum can be (0).

Step 3

Exam Tip

\(x^2-36=0\) में (b=0), इसलिए मूलों का योग \(-\frac{b}{a}=0\) है। (x) पद अनुपस्थित हो तो योग (0) हो सकता है।

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किस विकल्प में (x) पद अनुपस्थित है लेकिन समीकरण द्विघात है?

In which option is the (x) term absent but the equation is quadratic?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-27=0\)

Step 1

Concept

In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-27=0\). In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.

Step 3

Exam Tip

\(3x^2-27=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।

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किस विकल्प में द्विघात समीकरण का (x) वाला पद अनुपस्थित है लेकिन समीकरण द्विघात है?

In which option is the (x) term absent but the equation is still quadratic?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-49=0\). In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.

Step 3

Exam Tip

\(x^2-49=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।

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किस समीकरण के दोनों मूल विपरीत संख्याएँ होंगे?

Which equation will have roots that are opposite numbers?

Explanation opens after your attempt
Correct Answer

A. \(x^2-16=0\)

Step 1

Concept

\(x^2-16=0\) gives \(x=\pm4\), which are opposite numbers. Pure quadratics often give opposite roots.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-16=0\). \(x^2-16=0\) gives \(x=\pm4\), which are opposite numbers. Pure quadratics often give opposite roots.

Step 3

Exam Tip

\(x^2-16=0\) से \(x=\pm4\) मिलता है, जो विपरीत संख्याएँ हैं। शुद्ध द्विघात में अक्सर विपरीत मूल मिलते हैं।

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क्या \(2x^2=0\) एक द्विघात समीकरण है?

Is \(2x^2=0\) a quadratic equation?

Explanation opens after your attempt
Correct Answer

D. हाँ क्योंकि \(x^2\) का गुणांक (2) हैYes because the coefficient of \(x^2\) is (2)

Step 1

Concept

In \(2x^2=0\), the coefficient of \(x^2\) is \(2\neq 0\). It can be quadratic even without linear and constant terms.

Step 2

Why this answer is correct

The correct answer is D. हाँ क्योंकि \(x^2\) का गुणांक (2) है / Yes because the coefficient of \(x^2\) is (2). In \(2x^2=0\), the coefficient of \(x^2\) is \(2\neq 0\). It can be quadratic even without linear and constant terms.

Step 3

Exam Tip

\(2x^2=0\) में \(x^2\) का गुणांक \(2\neq 0\) है। रैखिक और स्थिर पद न होने पर भी यह द्विघात हो सकता है।

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निम्न में से शुद्ध द्विघात समीकरण कौन-सा है?

Which of the following is a pure quadratic equation?

Explanation opens after your attempt
Correct Answer

C. \(4x^2-9=0\)

Step 1

Concept

A pure quadratic equation has no (x) term. In \(4x^2-9=0\), the linear term is absent.

Step 2

Why this answer is correct

The correct answer is C. \(4x^2-9=0\). A pure quadratic equation has no (x) term. In \(4x^2-9=0\), the linear term is absent.

Step 3

Exam Tip

शुद्ध द्विघात में (x) वाला पद नहीं होता है। \(4x^2-9=0\) में रैखिक पद अनुपस्थित है।

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कौन सा समीकरण शुद्ध द्विघात समीकरण है?

Which equation is a pure quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-16=0\)

Step 1

Concept

A pure quadratic has no linear (x) term. \(4x^2-16=0\) is such an equation.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-16=0\). A pure quadratic has no linear (x) term. \(4x^2-16=0\) is such an equation.

Step 3

Exam Tip

शुद्ध द्विघात में (x) वाला रैखिक पद नहीं होता। \(4x^2-16=0\) ऐसा समीकरण है।

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समीकरण \(12x^2=0\) के लिए (a), (b), (c) क्रमशः क्या हैं?

For \(12x^2=0\), what are (a), (b), (c) respectively?

Explanation opens after your attempt
Correct Answer

A. (12,0,0)

Step 1

Concept

It is written as \(12x^2+0x+0=0\). Therefore (a=12), (b=0), (c=0).

Step 2

Why this answer is correct

The correct answer is A. (12,0,0). It is written as \(12x^2+0x+0=0\). Therefore (a=12), (b=0), (c=0).

Step 3

Exam Tip

इसे \(12x^2+0x+0=0\) लिखा जाता है। इसलिए (a=12), (b=0), (c=0) हैं।

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कौन सा समीकरण \(x^2+5=0\) की तरह शुद्ध द्विघात है?

Which equation is a pure quadratic like \(x^2+5=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-9=0\)

Step 1

Concept

A pure quadratic has no linear (x) term. \(x^2-9=0\) is of that type.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-9=0\). A pure quadratic has no linear (x) term. \(x^2-9=0\) is of that type.

Step 3

Exam Tip

शुद्ध द्विघात में (x) वाला रैखिक पद नहीं होता। \(x^2-9=0\) ऐसा ही है।

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समीकरण \(6x^2=0\) के लिए (a), (b), (c) क्रमशः क्या हैं?

For \(6x^2=0\), what are (a), (b), (c) respectively?

Explanation opens after your attempt
Correct Answer

A. (6,0,0)

Step 1

Concept

It is written as \(6x^2+0x+0=0\). Therefore (a=6), (b=0), (c=0).

Step 2

Why this answer is correct

The correct answer is A. (6,0,0). It is written as \(6x^2+0x+0=0\). Therefore (a=6), (b=0), (c=0).

Step 3

Exam Tip

इसे \(6x^2+0x+0=0\) लिखा जाता है। इसलिए (a=6), (b=0), (c=0) हैं।

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