CBSE  /  Class 10  /  Maths  /  Quadratic Equations

  • 1. 
    Which of the following is a quadratic equation?

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

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

  • 2(x - 1)² = 4x² - 2x + 1
  • 2x - x² = x² + 5
  • (√2x + √3)² + x² = 3x² - 5x
  • (x² + 2x)² = x4 + 3 + 4x³

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

  • x² - 4x + 5 = 0
  • x² + 3x - 12 = 0
  • 2x² - 7x + 6 = 0
  • 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

  • 2
  • -2
  • \(\frac{1}{4}\)
  • \(\frac{1}{2}\)

  • 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

  • 0 only
  • 4
  • 8 only
  • 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?

  • \(\frac{1}{8}\)
  • \(\frac{1}{64}\)
  • \(\frac{1}{4}\)
  • \(\frac{9}{64}\)

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

  • two distinct real roots
  • two equal real roots
  • no real roots
  • more than 2 real roots

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

  • 2x² - 3√2x + \(\frac{9}{4}\) = 0
  • x² + x - 5 = 0
  • x² + 3x + 2√2 = 0
  • 5x² - 3x + 1 = 0

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

  • x² - 4x + 3√2 = 0
  • x² + 4x - 3√2 = 0
  • x² - 4x - 3√2 = 0
  • 3x² + 4√3 +4 = 0
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