Short Quiz - Chapter 4 Class 10 Quadratic Equations

Question 1 of 5

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 2 of 5

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 3 of 5

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 4 of 5

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

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Question 5 of 5

CBSE Board Exam 2025

The discriminant of the quadratic equation \(b x^2+a x+c=0 ; b \neq 0\) is given by :

A \(b^2-4 a c\) B \(\sqrt{b^2-4 a c}\) C \(\sqrt{\mathrm{a}^2-4 \mathrm{bc}}\) D \(a^2-4 b c\)

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Class 6