NCERT Exemplar MCQ Quiz

Question 1 of 7

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 \(3 x^2-3 x+3=0\)

Select one option. Answers are shown after the test.

Question 2 of 7

NCERT Exemplar

Which of the following is not a quadratic equation?

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

Select one option. Answers are shown after the test.

Question 3 of 7

NCERT Exemplar

The quadratic equation \(2 x^2-\sqrt{5} x+1=0\) has

A two distinct real roots B two equal real roots C no real roots D more than 2 real roots

Select one option. Answers are shown after the test.

Question 4 of 7

NCERT Exemplar

Which of the following is a quadratic equation?

A \(x^2+2 x+1=(4-x)^2+3\) B \(-2 x^2=(5-x)\left(2 x-\frac{2}{5}\right)\) C \((k+1) x^2+\frac{3}{2} x=7\), where \(k=-1\) D \(x^3-x^2=(x-1)^3\)

Select one option. Answers are shown after the test.

Question 5 of 7

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 \(3 x^2+4 \sqrt{3} x+4=0\)

Select one option. Answers are shown after the test.

Question 6 of 7

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 \(\quad x^3-x^2+2 x+1=(x+1)^3\)

Select one option. Answers are shown after the test.

Question 7 of 7

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

Select one option. Answers are shown after the test.

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