Short Quiz

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

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 5

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 4 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 5 of 5

NCERT Exemplar

If \(\frac{1}{2}\) is a root of the equation \(x^2+k x-\frac{5}{4}=0\), then the value of \(k\) is

A 2 B -2 C \(\frac{1}{4}\) D \(\frac{1}{2}\)

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