Class 10 Chapter Practice

Mathematics Quadratic Equations MCQ Questions for Class 10

Related questions grouped automatically for chapter-wise practice. Topics include Methods of Solving Quadratic Equations, Roots of a Quadratic Equation, Introduction to Quadratic Equations, Nature of Roots.

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Class 10 Mathematics Quadratic Equations Practice

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Quadratic Equations - Topics Covered

Mathematics Quadratic Equations ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Quadratic Equations ko easy tarike se practice aur revise kar sake.

Methods of Solving Quadratic Equations
600 MCQs
Roots of a Quadratic Equation
600 MCQs
Introduction to Quadratic Equations
550 MCQs
Nature of Roots
50 MCQs

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Mathematics Quadratic Equations MCQ Questions

Question 1/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से कौन सा समीकरण द्विघात समीकरण है?

Which of the following equations is a quadratic equation?

Explanation opens after your attempt

Correct Answer

A. \(x^2+3x+2=0\)

Step 1

Concept

A quadratic equation has highest power (2) of (x). In exams first check the degree.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+3x+2=0\). A quadratic equation has highest power (2) of (x). In exams first check the degree.

Step 3

Exam Tip

द्विघात समीकरण में (x) की सबसे बड़ी घात (2) होती है। परीक्षा में सबसे पहले घात देखें।

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Question 2/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(5x^2-2x+9=0\) में (a) का मान क्या है?

What is the value of (a) in the equation \(5x^2-2x+9=0\)?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). Here (a=5).

Step 2

Why this answer is correct

The correct answer is A. (5). In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). Here (a=5).

Step 3

Exam Tip

मानक रूप \(ax^2+bx+c=0\) में (a) \(x^2\) का गुणांक होता है। यहां (a=5) है।

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Question 3/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(3x^2+7x-4=0\) में (b) का मान क्या है?

What is the value of (b) in \(3x^2+7x-4=0\)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

In standard form, (b) is the coefficient of (x). So (b=7).

Step 2

Why this answer is correct

The correct answer is B. (7). In standard form, (b) is the coefficient of (x). So (b=7).

Step 3

Exam Tip

मानक रूप में (b) (x) का गुणांक होता है। इसलिए (b=7) है।

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Question 4/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(4x^2-8x+1=0\) में (c) का मान क्या है?

What is the value of (c) in \(4x^2-8x+1=0\)?

Explanation opens after your attempt

Correct Answer

C. (1)

Step 1

Concept

In standard form, (c) is the constant term. Here the constant term is (1).

Step 2

Why this answer is correct

The correct answer is C. (1). In standard form, (c) is the constant term. Here the constant term is (1).

Step 3

Exam Tip

मानक रूप में (c) स्थिर पद होता है। यहां स्थिर पद (1) है।

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Question 5/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न समीकरण \(x^2-6x=0\) में (c) का मान क्या है?

What is the value of (c) in \(x^2-6x=0\)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

It can be written as \(x^2-6x+0=0\). Hence (c=0).

Step 2

Why this answer is correct

The correct answer is C. (0). It can be written as \(x^2-6x+0=0\). Hence (c=0).

Step 3

Exam Tip

इसे \(x^2-6x+0=0\) लिखा जा सकता है। अतः (c=0) है।

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Question 6/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(9x^2+11=0\) में (b) का मान क्या है?

What is the value of (b) in \(9x^2+11=0\)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

It is written as \(9x^2+0x+11=0\). So (b=0).

Step 2

Why this answer is correct

The correct answer is C. (0). It is written as \(9x^2+0x+11=0\). So (b=0).

Step 3

Exam Tip

इसे \(9x^2+0x+11=0\) लिखा जाता है। इसलिए (b=0) है।

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Question 7/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

किस शर्त पर \(ax^2+bx+c=0\) द्विघात समीकरण कहलाता है?

Under which condition is \(ax^2+bx+c=0\) called a quadratic equation?

Explanation opens after your attempt

Correct Answer

B. \(a\neq0\)

Step 1

Concept

The quadratic term must remain, so \(a\neq0\). If (a=0), it may become linear.

Step 2

Why this answer is correct

The correct answer is B. \(a\neq0\). The quadratic term must remain, so \(a\neq0\). If (a=0), it may become linear.

Step 3

Exam Tip

द्विघात पद बना रहे इसलिए \(a\neq0\) होना चाहिए। परीक्षा में (a=0) होने पर यह रैखिक बन सकता है।

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Question 8/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2+5x=3\) का मानक रूप क्या है?

What is the standard form of \(2x^2+5x=3\)?

Explanation opens after your attempt

Correct Answer

B. \(2x^2+5x-3=0\)

Step 1

Concept

Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.

Step 2

Why this answer is correct

The correct answer is B. \(2x^2+5x-3=0\). Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.

Step 3

Exam Tip

सभी पद एक तरफ लाने पर \(2x^2+5x-3=0\) मिलता है। चिन्ह बदलना न भूलें।

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Question 9/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2=4x+12\) का मानक रूप कौन सा है?

Which is the standard form of \(x^2=4x+12\)?

Explanation opens after your attempt

Correct Answer

A. \(x^2-4x-12=0\)

Step 1

Concept

When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-4x-12=0\). When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.

Step 3

Exam Tip

दाईं ओर के पदों को बाईं ओर लाने पर चिन्ह बदलते हैं। इसलिए \(x^2-4x-12=0\) सही है।

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Question 10/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण \(ax^2+bx+c=0\) के मानक रूप में है?

Which equation is in the standard form \(ax^2+bx+c=0\)?

Explanation opens after your attempt

Correct Answer

A. \(x^2+2x+1=0\)

Step 1

Concept

In standard form the right side is (0). Option (A) matches this form.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+2x+1=0\). In standard form the right side is (0). Option (A) matches this form.

Step 3

Exam Tip

मानक रूप में दाईं ओर (0) होता है। विकल्प (A) इसी रूप में है।

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Question 11/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (x=2) है तो \(x^2-5x+6=0\) में बायां पक्ष कितना होगा?

If (x=2), what is the left side of \(x^2-5x+6=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Substitution gives \(2^2-5\cdot2+6=0\). So (x=2) is a solution.

Step 2

Why this answer is correct

The correct answer is A. (0). Substitution gives \(2^2-5\cdot2+6=0\). So (x=2) is a solution.

Step 3

Exam Tip

रखने पर \(2^2-5\cdot2+6=0\) मिलता है। इसलिए (x=2) समीकरण का हल है।

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Question 12/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा मान \(x^2-9=0\) का एक हल है?

Which value is one solution of \(x^2-9=0\)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Since \(3^2-9=0\), (3) is a solution. For easy questions, check by substitution.

Step 2

Why this answer is correct

The correct answer is B. (3). Since \(3^2-9=0\), (3) is a solution. For easy questions, check by substitution.

Step 3

Exam Tip

\(3^2-9=0\) इसलिए (3) हल है। आसान प्रश्नों में मान रखकर जांच करें।

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Question 13/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2-4x+4=0\) में (x=2) रखने पर क्या मिलता है?

What do we get by putting (x=2) in \(x^2-4x+4=0\)?

Explanation opens after your attempt

Correct Answer

A. (0=0)

Step 1

Concept

We get \(2^2-4\cdot2+4=0\). Hence (x=2) is a correct solution.

Step 2

Why this answer is correct

The correct answer is A. (0=0). We get \(2^2-4\cdot2+4=0\). Hence (x=2) is a correct solution.

Step 3

Exam Tip

\(2^2-4\cdot2+4=0\) है। अतः (x=2) सही हल है।

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Question 14/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से कौन सा द्विघात बहुपद है?

Which of the following is a quadratic polynomial?

Explanation opens after your attempt

Correct Answer

B. \(x^2-3x+2\)

Step 1

Concept

A quadratic polynomial has degree (2). In \(x^2-3x+2\), the highest power is (2).

Step 2

Why this answer is correct

The correct answer is B. \(x^2-3x+2\). A quadratic polynomial has degree (2). In \(x^2-3x+2\), the highest power is (2).

Step 3

Exam Tip

द्विघात बहुपद की घात (2) होती है। \(x^2-3x+2\) में सबसे बड़ी घात (2) है।

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Question 15/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण द्विघात नहीं है?

Which equation is not quadratic?

Explanation opens after your attempt

Correct Answer

C. \(x^3+x+1=0\)

Step 1

Concept

The degree of \(x^3+x+1=0\) is (3). So it is not a quadratic equation.

Step 2

Why this answer is correct

The correct answer is C. \(x^3+x+1=0\). The degree of \(x^3+x+1=0\) is (3). So it is not a quadratic equation.

Step 3

Exam Tip

\(x^3+x+1=0\) की घात (3) है। इसलिए यह द्विघात समीकरण नहीं है।

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Question 16/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

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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Question 17/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

(x(x+5)=0) को मानक रूप में लिखिए।

Write (x(x+5)=0) in standard form.

Explanation opens after your attempt

Correct Answer

A. \(x^2+5x=0\)

Step 1

Concept

Multiplying gives \(x^2+5x=0\). While opening brackets, multiply each term.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x=0\). Multiplying gives \(x^2+5x=0\). While opening brackets, multiply each term.

Step 3

Exam Tip

गुणा करने पर \(x^2+5x=0\) मिलता है। कोष्ठक खोलते समय हर पद से गुणा करें।

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Question 18/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

((x+2)(x+3)=0) का विस्तृत रूप क्या है?

What is the expanded form of ((x+2)(x+3)=0)?

Explanation opens after your attempt

Correct Answer

A. \(x^2+5x+6=0\)

Step 1

Concept

Expansion gives \(x^2+3x+2x+6=0\). Combining like terms gives \(x^2+5x+6=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x+6=0\). Expansion gives \(x^2+3x+2x+6=0\). Combining like terms gives \(x^2+5x+6=0\).

Step 3

Exam Tip

विस्तार से \(x^2+3x+2x+6=0\) मिलता है। समान पद जोड़कर \(x^2+5x+6=0\) बनता है।

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Question 19/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

((x-4)(x+1)=0) का मानक रूप कौन सा है?

Which is the standard form of ((x-4)(x+1)=0)?

Explanation opens after your attempt

Correct Answer

A. \(x^2-3x-4=0\)

Step 1

Concept

Expanding gives \(x^2+x-4x-4=0\). So \(x^2-3x-4=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-3x-4=0\). Expanding gives \(x^2+x-4x-4=0\). So \(x^2-3x-4=0\) is correct.

Step 3

Exam Tip

विस्तार करने पर \(x^2+x-4x-4=0\) मिलता है। इसलिए \(x^2-3x-4=0\) सही है।

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Question 20/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2+8x+16=0\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(x^2+8x+16=0\)?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.

Step 2

Why this answer is correct

The correct answer is B. (1). When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.

Step 3

Exam Tip

जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह सामान्य परीक्षा गलती है।

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Question 21/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(-x^2+3x+10=0\) में (a) का मान क्या है?

What is the value of (a) in \(-x^2+3x+10=0\)?

Explanation opens after your attempt

Correct Answer

B. \(-1\)

Step 1

Concept

The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 2

Why this answer is correct

The correct answer is B. \(-1\). The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 3

Exam Tip

\(-x^2\) का गुणांक (-1) होता है। इसलिए (a=-1) है।

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Question 22/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(x^2+6x+9=0\) को गुणनखंड रूप में दिखाता है?

Which option shows \(x^2+6x+9=0\) in factor form?

Explanation opens after your attempt

Correct Answer

A. \((x+3)^2=0\)

Step 1

Concept

\(x^2+6x+9\) is a perfect square. It equals ((x+3)²).

Step 2

Why this answer is correct

The correct answer is A. \((x+3)^2=0\). \(x^2+6x+9\) is a perfect square. It equals ((x+3)²).

Step 3

Exam Tip

\(x^2+6x+9\) एक पूर्ण वर्ग है। यह ((x+3)²) के बराबर है।

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Question 23/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा मान \(x^2+x-6=0\) का हल है?

Which value is a solution of \(x^2+x-6=0\)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Since \(2^2+2-6=0\), (x=2) is a solution of the equation.

Step 2

Why this answer is correct

The correct answer is B. (2). Since \(2^2+2-6=0\), (x=2) is a solution of the equation.

Step 3

Exam Tip

\(2^2+2-6=0\) है। इसलिए (x=2) इस समीकरण का हल है।

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Question 24/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?

If an equation in (x) has degree (2), what is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात समीकरणQuadratic equation

Step 1

Concept

An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 2

Why this answer is correct

The correct answer is B. द्विघात समीकरण / Quadratic equation. An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 3

Exam Tip

घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें।

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Question 25/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से किसमें \(x^2\) पद मौजूद है?

Which of the following contains the \(x^2\) term?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

The \(x^2\) term is necessary for a quadratic equation. Option (C) has this term.

Step 2

Why this answer is correct

The correct answer is C. \(x^2-2=0\). The \(x^2\) term is necessary for a quadratic equation. Option (C) has this term.

Step 3

Exam Tip

द्विघात समीकरण के लिए \(x^2\) पद आवश्यक है। विकल्प (C) में यह पद है।

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Question 26/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2+0x-7=0\) में रैखिक पद क्या है?

What is the linear term in \(2x^2+0x-7=0\)?

Explanation opens after your attempt

Correct Answer

B. (0x)

Step 1

Concept

The linear term is the term containing (x). Here it is (0x).

Step 2

Why this answer is correct

The correct answer is B. (0x). The linear term is the term containing (x). Here it is (0x).

Step 3

Exam Tip

रैखिक पद (x) वाला पद होता है। यहां वह (0x) है।

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Question 27/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण \(x^2+2x+1=0\) के बराबर है?

Which equation is equivalent to \(x^2+2x+1=0\)?

Explanation opens after your attempt

Correct Answer

A. \((x+1)^2=0\)

Step 1

Concept

((x+1)²=x^-2+2x+1). Recognising perfect squares helps solve faster.

Step 2

Why this answer is correct

The correct answer is A. \((x+1)^2=0\). ((x+1)²=x^-2+2x+1). Recognising perfect squares helps solve faster.

Step 3

Exam Tip

((x+1)²=x^-2+2x+1) होता है। पूर्ण वर्ग पहचानना तेजी से हल कराने में मदद करता है।

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Question 28/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2-16=0\) को गुणनखंड रूप में कैसे लिखेंगे?

How do we write \(x^2-16=0\) in factor form?

Explanation opens after your attempt

Correct Answer

A. \((x-4)(x+4)=0\)

Step 1

Concept

\(x^2-16\) is a difference of squares. Hence it becomes ((x-4)(x+4)).

Step 2

Why this answer is correct

The correct answer is A. \((x-4)(x+4)=0\). \(x^2-16\) is a difference of squares. Hence it becomes ((x-4)(x+4)).

Step 3

Exam Tip

\(x^2-16\) वर्गों का अंतर है। इसलिए यह ((x-4)(x+4)) बनता है।

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Question 29/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (x=1) है तो \(x^2+2x-3=0\) में बायां पक्ष कितना होगा?

If (x=1), what is the left side of \(x^2+2x-3=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Substituting gives \(1^2+2\cdot1-3=0\). So (1) is a solution.

Step 2

Why this answer is correct

The correct answer is A. (0). Substituting gives \(1^2+2\cdot1-3=0\). So (1) is a solution.

Step 3

Exam Tip

रखने पर \(1^2+2\cdot1-3=0\) मिलता है। इसलिए (1) एक हल है।

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Question 30/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(7x^2-14=0\) में (a), (b), (c) कौन से हैं?

What are (a), (b), (c) in \(7x^2-14=0\)?

Explanation opens after your attempt

Correct Answer

A. (7,0,-14)

Step 1

Concept

Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).

Step 2

Why this answer is correct

The correct answer is A. (7,0,-14). Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).

Step 3

Exam Tip

इसे \(7x^2+0x-14=0\) लिखें। इससे (a=7), (b=0), (c=-14) मिलते हैं।

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Question 31/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण (x) में द्विघात है लेकिन (y) में नहीं?

Which equation is quadratic in (x) but not in (y)?

Explanation opens after your attempt

Correct Answer

A. \(x^2+5x+6=0\)

Step 1

Concept

In option (A), the variable (x) has degree (2). So it is quadratic in (x).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x+6=0\). In option (A), the variable (x) has degree (2). So it is quadratic in (x).

Step 3

Exam Tip

विकल्प (A) में चर (x) की घात (2) है। इसलिए यह (x) में द्विघात है।

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Question 32/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

(3x(x-2)=0) का मानक रूप क्या है?

What is the standard form of (3x(x-2)=0)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2-6x=0\)

Step 1

Concept

Multiplying (3x) by both terms gives \(3x^2-6x=0\). Watch the sign.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-6x=0\). Multiplying (3x) by both terms gives \(3x^2-6x=0\). Watch the sign.

Step 3

Exam Tip

(3x) को दोनों पदों से गुणा करने पर \(3x^2-6x=0\) मिलता है। चिन्ह पर ध्यान दें।

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Question 33/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (p(x)=x^-2-1) है तो (p(1)) कितना है?

If (p(x)=x^-2-1), what is (p(1))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(p(1)=1²-1=0). When (p(a)=0), (a) is called a zero.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1²-1=0). When (p(a)=0), (a) is called a zero.

Step 3

Exam Tip

(p(1)=1²-1=0) है। जब (p(a)=0) हो तो (a) शून्यक कहलाता है।

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Question 34/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(2x^2+3x+1=0\) में स्थिर पद है?

Which option is the constant term in \(2x^2+3x+1=0\)?

Explanation opens after your attempt

Correct Answer

C. (1)

Step 1

Concept

The constant term does not contain (x). Hence (1) is the constant term.

Step 2

Why this answer is correct

The correct answer is C. (1). The constant term does not contain (x). Hence (1) is the constant term.

Step 3

Exam Tip

स्थिर पद में (x) नहीं होता। इसलिए (1) स्थिर पद है।

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Question 35/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2+10x=0\) में कौन सा पद अनुपस्थित है?

Which term is absent in \(x^2+10x=0\)?

Explanation opens after your attempt

Correct Answer

C. स्थिर पदConstant term

Step 1

Concept

It is treated as \(x^2+10x+0=0\). So the constant term is absent.

Step 2

Why this answer is correct

The correct answer is C. स्थिर पद / Constant term. It is treated as \(x^2+10x+0=0\). So the constant term is absent.

Step 3

Exam Tip

इसे \(x^2+10x+0=0\) माना जाता है। इसलिए स्थिर पद अनुपस्थित है।

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Question 36/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

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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Question 37/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2+4x+4=0\) में (x=-2) रखने पर क्या होगा?

What happens when (x=-2) is put in \(x^2+4x+4=0\)?

Explanation opens after your attempt

Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Step 1

Concept

((-2)²+4(-2)+4=0). Hence (x=-2) is a solution.

Step 2

Why this answer is correct

The correct answer is A. समीकरण संतुष्ट होता है / The equation is satisfied. ((-2)²+4(-2)+4=0). Hence (x=-2) is a solution.

Step 3

Exam Tip

((-2)²+4(-2)+4=0) है। अतः (x=-2) हल है।

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Question 38/50 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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Question 39/50 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 40/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण मानक रूप में लाने पर \(x^2-7x+10=0\) बनता है?

Which equation becomes \(x^2-7x+10=0\) after writing in standard form?

Explanation opens after your attempt

Correct Answer

A. \(x^2-7x=-10\)

Step 1

Concept

In \(x^2-7x=-10\), moving (-10) to the left gives (+10). So the standard form is \(x^2-7x+10=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-7x=-10\). In \(x^2-7x=-10\), moving (-10) to the left gives (+10). So the standard form is \(x^2-7x+10=0\).

Step 3

Exam Tip

\(x^2-7x=-10\) में (-10) को बाईं ओर लाने पर (+10) बनता है। इसलिए मानक रूप \(x^2-7x+10=0\) है।

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Question 41/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2+3x+2=0\) में कितने अधिकतम वास्तविक हल हो सकते हैं?

What is the maximum number of real solutions possible for \(x^2+3x+2=0\)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

A quadratic equation can have at most (2) real solutions. In easy questions, degree indicates the maximum possible solutions.

Step 2

Why this answer is correct

The correct answer is B. (2). A quadratic equation can have at most (2) real solutions. In easy questions, degree indicates the maximum possible solutions.

Step 3

Exam Tip

द्विघात समीकरण के अधिकतम (2) वास्तविक हल हो सकते हैं। आसान प्रश्न में घात से अधिकतम हल का संकेत मिलता है।

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Question 42/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(4x^2+4x+1=0\) में (a+b+c) का मान क्या है?

What is the value of (a+b+c) for \(4x^2+4x+1=0\)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

Here (a=4), (b=4), (c=1). Therefore (a+b+c=9).

Step 2

Why this answer is correct

The correct answer is C. (9). Here (a=4), (b=4), (c=1). Therefore (a+b+c=9).

Step 3

Exam Tip

यहां (a=4), (b=4), (c=1) हैं। इसलिए (a+b+c=9) है।

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Question 43/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2-3x-5=0\) में (a-b+c) का मान क्या है?

What is the value of (a-b+c) for \(2x^2-3x-5=0\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Here (a=2), (b=-3), (c=-5). Thus (a-b+c=2-(-3)-5=0).

Step 2

Why this answer is correct

The correct answer is A. (0). Here (a=2), (b=-3), (c=-5). Thus (a-b+c=2-(-3)-5=0).

Step 3

Exam Tip

यहां (a=2), (b=-3), (c=-5) हैं। इसलिए (a-b+c=2-(-3)-5=0) है।

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Question 44/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(5x^2+2x-1=0\) की घात क्या है?

What is the degree of \(5x^2+2x-1=0\)?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The highest power is (2). Therefore the equation is quadratic.

Step 2

Why this answer is correct

The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.

Step 3

Exam Tip

सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।

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Question 45/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(x^2-2x-15=0\) का गुणनखंड रूप है?

Which option is the factor form of \(x^2-2x-15=0\)?

Explanation opens after your attempt

Correct Answer

A. \((x-5)(x+3)=0\)

Step 1

Concept

Expanding ((x-5)(x+3)) gives \(x^2-2x-15\). To check factors, expand them.

Step 2

Why this answer is correct

The correct answer is A. \((x-5)(x+3)=0\). Expanding ((x-5)(x+3)) gives \(x^2-2x-15\). To check factors, expand them.

Step 3

Exam Tip

((x-5)(x+3)) फैलाने पर \(x^2-2x-15\) मिलता है। गुणनखंड जांचने के लिए विस्तार करें।

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Question 46/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि एक आयत की लंबाई (x+3) और चौड़ाई (x) है तथा क्षेत्रफल (10) है तो समीकरण क्या बनेगा?

If a rectangle has length (x+3) and width (x), and area (10), what equation is formed?

Explanation opens after your attempt

Correct Answer

A. (x(x+3)=10)

Step 1

Concept

Area is the product of length and width. So the equation is (x(x+3)=10).

Step 2

Why this answer is correct

The correct answer is A. (x(x+3)=10). Area is the product of length and width. So the equation is (x(x+3)=10).

Step 3

Exam Tip

क्षेत्रफल लंबाई और चौड़ाई का गुणनफल होता है। इसलिए समीकरण (x(x+3)=10) बनेगा।

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Question 47/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

दो लगातार धन पूर्णांकों का गुणनफल (30) है। यदि छोटा पूर्णांक (x) है तो समीकरण क्या होगा?

The product of two consecutive positive integers is (30). If the smaller integer is (x), what is the equation?

Explanation opens after your attempt

Correct Answer

A. (x(x+1)=30)

Step 1

Concept

The next consecutive integer is (x+1). Since the product is (30), the equation is (x(x+1)=30).

Step 2

Why this answer is correct

The correct answer is A. (x(x+1)=30). The next consecutive integer is (x+1). Since the product is (30), the equation is (x(x+1)=30).

Step 3

Exam Tip

लगातार अगला पूर्णांक (x+1) होगा। गुणनफल (30) है इसलिए (x(x+1)=30) बनेगा।

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Question 48/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

किस विकल्प में सामान्य गलती है जब \(x^2=5x-6\) को मानक रूप में बदला जाता है?

Which option shows the common mistake while converting \(x^2=5x-6\) to standard form?

Explanation opens after your attempt

Correct Answer

B. \(x^2-5x-6=0\)

Step 1

Concept

The correct form is \(x^2-5x+6=0\). In option (B), the sign of (-6) was not changed.

Step 2

Why this answer is correct

The correct answer is B. \(x^2-5x-6=0\). The correct form is \(x^2-5x+6=0\). In option (B), the sign of (-6) was not changed.

Step 3

Exam Tip

सही रूप \(x^2-5x+6=0\) है। विकल्प (B) में (-6) का चिन्ह नहीं बदला गया।

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Question 49/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण (x=0) को हल के रूप में रखता है?

Which equation has (x=0) as a solution?

Explanation opens after your attempt

Correct Answer

A. \(x^2+5x=0\)

Step 1

Concept

Putting (x=0) in option (A) gives (0=0). Direct substitution is the simplest way to check a solution.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x=0\). Putting (x=0) in option (A) gives (0=0). Direct substitution is the simplest way to check a solution.

Step 3

Exam Tip

(x=0) रखने पर विकल्प (A) में (0=0) मिलता है। हल जांचने का सबसे सरल तरीका प्रत्यक्ष प्रतिस्थापन है।

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Question 50/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2+kx+12=0\) एक द्विघात समीकरण है तो (k) किस पद का गुणांक है?

If \(x^2+kx+12=0\) is a quadratic equation, then (k) is the coefficient of which term?

Explanation opens after your attempt

Correct Answer

B. (x) पद(x) term

Step 1

Concept

In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).

Step 2

Why this answer is correct

The correct answer is B. (x) पद / (x) term. In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).

Step 3

Exam Tip

मानक रूप \(ax^2+bx+c=0\) में (x) का गुणांक (b) होता है। यहां (kx) में (k) (x) का गुणांक है।

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