CBSE Class 10 Maths Quadratic Equations Quiz 1

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CBSE › Class 10 › Maths › Quadratic Equations

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1. Which of the following is a quadratic equation?

A x² + 2x+ 1 = (4 - x)² + 3 B -2x² = (5 - x)[2x - \(\frac{2}{5}\) C (k + 1)x² + \(\frac{3}{2}\) x = 7, where k = -1 D x³ - x² = (x - 1)³

2. Which of the following is not a quadratic equation?

A 2(x - 1)² = 4x² - 2x + 1 B 2x - x² = x² + 5 C (√2x + √3)² + x² = 3x² - 5x D (x² + 2x)² = x⁴ + 3 + 4x³

3. Which of the following equations has 2 as a root?

A x² - 4x + 5 = 0 B x² + 3x - 12 = 0 C 2x² - 7x + 6 = 0 D 3x² - 6x - 2 = 0

4. If \(\frac{1}{2}\)is a root of the equation x² + kx - \(\frac{5}{4}\) = 0 then the value of k is

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

5. Which of the following has the sum of its roots as 3?

2x² - 3x + 6 = 0

-x² + 3x + 3 = 0

√2x² - \(\frac{3}{√2}\)x + 1 = 0

3x² - 3x + 3 = 0

6. Values of k for which the quadratic equation 2x² - kx + k = 0 has equal roots is

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

7. Which constant must be added and subtracted to solve the quadratic equation 9x² + \(\frac{3}{4}\) x - √2 = 0 by the method of completing the square?

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

8. The quadratic equation 2x² - √5x + 1 = 0 has

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

9. Which of the following equations has two distinct real roots?

A 2x² - 3√2x + \(\frac{9}{4}\) = 0 B x² + x - 5 = 0 C x² + 3x + 2√2 = 0 D 5x² - 3x + 1 = 0

10. Which of the following equations has no real roots?

A x² - 4x + 3√2 = 0 B x² + 4x - 3√2 = 0 C x² - 4x - 3√2 = 0 D 3x² + 4√3 +4 = 0

Practice more on Quadratic Equations

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