CBSE Class 10 Maths Standard Quadratic Equations Competency Based Questions

Chapter-wise competency based questions for Quadratic Equations. Select a topic and open the answer only after your first attempt.

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CBQs Important Questions PYQs

ChapterTopic

Question 1MCQ · Apply · 1 mark

Quadratic Equations · Standard Form

A quadratic equation has roots $3 + 5$ and $3 - 5$ . Which equation has these roots?

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Question 2MCQ · Apply · 1 mark

Quadratic Equations · Nature of Roots

The equation $2 x^{2} - 8 x + k = 0$ has equal real roots. What is the value of $k$ ?

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Question 3MCQ · Apply · 1 mark

Quadratic Equations · Nature of Roots

For which values of $m$ does $x^{2} + m x + 16 = 0$ have equal real roots?

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Question 4MCQ · Apply · 1 mark

Quadratic Equations · Factorisation Method

What are the roots of $x^{2} - 0.49 = 0$ ?

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Question 5MCQ · Analyse · 1 mark

Quadratic Equations · Standard Form

After simplifying, which of the following can be written in the standard quadratic form $a x^{2} + b x + c = 0$ , where $a$ is non-zero?

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Question 6MCQ · Apply · 1 mark

Quadratic Equations · Standard Form

For $5 x^{2} - p x + 10 = 0$ , the sum of the roots is twice their product. Find $p$ .

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Question 7MCQ · Analyse · 1 mark

Quadratic Equations · Nature of Roots

A quadratic equation has at least one real root. Study Graphs I-IV below. Which of them could represent the equation?

Four quadratic graphs labelled I to IV, showing two graphs with two x-intercepts, one with no x-intercept, and one tangent to the x-axis. — Use the x-axis intersections to identify the graphs with real roots.

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Question 8MCQ · Analyse · 1 mark

Quadratic Equations · Standard Form

Riya copies a quadratic equation correctly except for its constant term and obtains roots $3$ and $4$ . Kabir copies the same original equation correctly except for the coefficient of $x$ and obtains roots $- 2$ and $- 5$ . Assume the coefficient of $x^{2}$ is $1$ in both copies. What are the roots of the original equation?

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Question 9MCQ · Apply · 1 mark

Quadratic Equations · Situational Problems

A natural number plus $11$ is equal to $60$ times its reciprocal. What is the number?

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CBSE Class 10 Maths Standard Quadratic Equations Competency Based Questions

Chapter-wise competency based questions for Quadratic Equations. Select a topic and open the answer only after your first attempt.

ChapterTopic

CBSE Class 10 Maths Standard Quadratic Equations Competency Based Questions

A quadratic equation has roots 3+5​ and 3−5​. Which equation has these roots?

The equation 2x2−8x+k=0 has equal real roots. What is the value of k?

For which values of m does x2+mx+16=0 have equal real roots?

What are the roots of x2−0.49=0?

After simplifying, which of the following can be written in the standard quadratic form ax2+bx+c=0, where a is non-zero?

For 5x2−px+10=0, the sum of the roots is twice their product. Find p.

A quadratic equation has at least one real root. Study Graphs I-IV below. Which of them could represent the equation?

A natural number plus 11 is equal to 60 times its reciprocal. What is the number?

CBSE Class 10 Maths Standard Quadratic Equations Competency Based Questions

A quadratic equation has roots 3+5​ and 3−5​. Which equation has these roots?

The equation 2x2−8x+k=0 has equal real roots. What is the value of k?

For which values of m does x2+mx+16=0 have equal real roots?

What are the roots of x2−0.49=0?

After simplifying, which of the following can be written in the standard quadratic form ax2+bx+c=0, where a is non-zero?

For 5x2−px+10=0, the sum of the roots is twice their product. Find p.

A quadratic equation has at least one real root. Study Graphs I-IV below. Which of them could represent the equation?

A natural number plus 11 is equal to 60 times its reciprocal. What is the number?

A quadratic equation has roots $3 + 5$ and $3 - 5$ . Which equation has these roots?

The equation $2 x^{2} - 8 x + k = 0$ has equal real roots. What is the value of $k$ ?

For which values of $m$ does $x^{2} + m x + 16 = 0$ have equal real roots?

What are the roots of $x^{2} - 0.49 = 0$ ?

After simplifying, which of the following can be written in the standard quadratic form $a x^{2} + b x + c = 0$ , where $a$ is non-zero?

For $5 x^{2} - p x + 10 = 0$ , the sum of the roots is twice their product. Find $p$ .

A natural number plus $11$ is equal to $60$ times its reciprocal. What is the number?

A quadratic equation has roots $3 + 5$ and $3 - 5$ . Which equation has these roots?

The equation $2 x^{2} - 8 x + k = 0$ has equal real roots. What is the value of $k$ ?

For which values of $m$ does $x^{2} + m x + 16 = 0$ have equal real roots?

What are the roots of $x^{2} - 0.49 = 0$ ?

After simplifying, which of the following can be written in the standard quadratic form $a x^{2} + b x + c = 0$ , where $a$ is non-zero?

For $5 x^{2} - p x + 10 = 0$ , the sum of the roots is twice their product. Find $p$ .

A natural number plus $11$ is equal to $60$ times its reciprocal. What is the number?