10 Question MCQ (including Assertion)

Question 1 of 10

NCERT Exemplar

Which of the following equations has two distinct real roots?

A \(2 x^2-3 \sqrt{2} x+\frac{9}{4}=0\) B \(x^2+x-5=0\) C \(x^2+3 x+2 \sqrt{2}=0\) D \(5 x^2-3 x+1=0\)

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Question 2 of 10

CBSE Board Exam 2026

The roots of the quadratic equation \(4 x^2-(a-1)^2=0\) are :

A \(\mathrm{a}-1, \mathrm{a}+1\) B \(\frac{\mathrm{a}-1}{2}, \frac{-\mathrm{a}+1}{2}\) C \(\frac{\mathrm{a}-1}{2}, \frac{-\mathrm{a}-1}{2}\) D \(\quad \pm(\mathrm{a}-1)\)

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Question 3 of 10

NCERT Exemplar

Which of the following equations has the sum of its roots as 3 ?

A \(2 x^2-3 x+6=0\) B \(-x^2+3 x-3=0\) C \(\sqrt{2} x^2-\frac{3}{\sqrt{2}} x+1=0\) D \(3 x^2-3 x+3=0\)

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Question 4 of 10

NCERT Exemplar

Values of \(k\) for which the quadratic equation \(2 x^2-k x+k=0\) has equal roots is

A 0 only B 4 C 8 only D 0,8

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Question 5 of 10

NCERT Exemplar

Which constant must be added and subtracted to solve the quadratic equation \(9 x^2+\frac{3}{4} x-\sqrt{2}=0\) by the method of completing the square?

A \(\frac{1}{8}\) B \(\frac{1}{64}\) C \(\frac{1}{4}\) D \(\frac{9}{64}\)

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Question 6 of 10

NCERT Exemplar

Which one of the following is not a quadratic equation?

A \(\quad(x+2)^2=2(x+3)\) B \(\quad x^2+3 x=(-1)(1-3 x)^2\) C \(\quad(x+2)(x-1)=x^2-2 x-3\) D \(\quad x^3-x^2+2 x+1=(x+1)^3\)

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Question 7 of 10

NCERT Exemplar

\(\left(x^2+1\right)^2-x^2=0\) has

A four real roots B two real roots C no real roots D one real root.

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Question 8 of 10

NCERT Exemplar

Which of the following equations has 2 as a root?

A \(x^2-4 x+5=0\) B \(x^2+3 x-12=0\) C \(2 x^2-7 x+6=0\) D \(3 x^2-6 x-2=0\)

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Question 9 of 10

NCERT Exemplar

Which of the following equations has no real roots?

A \(x^2-4 x+3 \sqrt{2}=0\) B \(x^2+4 x-3 \sqrt{2}=0\) C \(x^2-4 x-3 \sqrt{2}=0\) D \(3 x^2+4 \sqrt{3} x+4=0\)

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Question 10 of 10

CBSE Board Exam 2026

The discriminant of the quadratic equation \(\mathrm{x}^2-3 \mathrm{x}-2=0\) is :

A 1 B 17 C \(\sqrt{17}\) D \(-\sqrt{17}\)

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10 Question MCQ (including Assertion)