10th Standard CBSE - Maths - Quadratic Equations

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Question - 1

The nature of the roots of following quadratic equation 3x2-4√3x+4=0 is

  • A Unequal
  • B Equal
  • C No real roots
  • D None of above

Question - 2

The roots of quadratic equation x2 – 9 = 0 are

  • A ± 3
  • B ± 6
  • C ± 4
  • D ± 9

Question - 3

The equation x-1/x = -2 in standard form ax2 + bx + c = 0 is written as

  • A x2 – 2x -1 = 0
  • B x2 + 2x -1 = 0
  • C x2 – 2x +1 = 0
  • D x2 + 2x +1 = 0

Question - 4

The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:

  • A x2+2x- 528=0
  • B x2+x- 528=0
  • C 2x2+x- 528=0
  • D 2x2+x+ 528=0

Question - 5

If the length of the rectangle is one more than the twice its width, and the area of the rectangle is 300 square meter. What is the measure of the width of the rectangle?

  • A -25
  • B 12
  • C 24
  • D 25

Question - 6

Write the condition, when given quadratic equation has no real roots

  • A b2 – 4ac = 0
  • B b2 – 4ac > 0
  • C Either A or C
  • D b2 – 4ac < 0

Question - 7

If  1/2 is a root of the equation x2 + kx-5/4 = 0 then the other root of the quadratic equation is

  • A 1/4
  • B -5/2
  • C -2
  • D 1/2

Question - 8

The value/s of x when (x – 4) (3x + 2) = 0 ________

  • A 4, -2/3
  • B -4, – 2/ 3
  • C 4, 2/3
  • D -4, 2/3

Question - 9

If x = -2 is a root of equation x2 – 4x + K = 0 then value of K is

  • A -8
  • B 8
  • C -12
  • D 12

Question - 10

Which of the following is a root of the equation x2-3√3 +6 = 0?

  • A 3
  • B √2
  • C √3
  • D 2
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