Quadratic Equations Quiz - CBSE Class 10 Mathematics

Free practice quiz: Quadratic Equations (CBSE Class 10 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the value of x in the equation x^2 - 5x + 6 = 0?

   1. 1 and 6
   2. 2 and 3
   3. 1 and 2
   4. 2 and 6
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   Answer: B. 2 and 3

   The equation x^2 - 5x + 6 = 0 can be factored into (x - 2)(x - 3) = 0, giving solutions x = 2 and x = 3.

2. Solve the equation x^2 - 9 = 0.

   1. 3 and -3
   2. 9 and -9
   3. 0 and 9
   4. 3 and 9
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   Answer: A. 3 and -3

   The equation x^2 - 9 = 0 can be rewritten as (x - 3)(x + 3) = 0, so the solutions are x = 3 and x = -3.

3. Determine the value of k for which the equation x^2 + kx + 4 = 0 has equal roots.

   1. 4
   2. 0
   3. -4
   4. 8
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   Answer: C. -4

   For equal roots, the discriminant (b^2 - 4ac) must be zero. Here, a = 1, b = k, c = 4. k^2 - 16 = 0 implies k = ±4. Choose -4 as per given options.

4. Find the nature of the roots for the quadratic equation 2x^2 - 6x + 3 = 0.

   1. Real and distinct
   2. Real and equal
   3. Complex
   4. None
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   Answer: A. Real and distinct

   The discriminant is b^2 - 4ac = 36 - 24 = 12, which is greater than zero, indicating real and distinct roots.

5. If α and β are the roots of x^2 + 4x + 8 = 0, find the value of α/β + β/α.

   1. -1
   2. 0
   3. 1
   4. 4
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   Answer: B. 0

   α/β + β/α = (α^2 + β^2) / αβ. Using known α + β and αβ, calculate α^2 + β^2 and proceed as explained previously.

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