10th Class Mathematics Chapter 2 Test02. Quadratic Equations

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. Which of the following is a quadratic equation?
   1. ax + b = c
   2. ax² + bx + c
   3. ax² + bx + c = 0
   4. ax² + bx + c = 0, a = 0
2. Which of the following is a reciprocal equation?
   1. $x^2 + 2x + 2 = 0$
   2. $x^4 + x^3 + x^2 + x + 1 = 0$
   3. $\sqrt{2x + 3}$
   4. $x^4 + 2x^3 + x^2 + 4x = 0$
3. Roots of the equation (x – 1)² – 9 are:
   1. –2, 4
   2. 2, 4
   3. –4, 2
   4. –2, –4
4. 2 and –3 are roots of
   1. (x – 2)(x – 3) = 0
   2. (x + 2)(x + 3) = 0
   3. (x – 2)(x + 3) = 0
   4. (x + 2)(x – 3) = 0
5. Sum and product of roots of a quadratic equation are respectively 2 and 5. The equation is:
   1. x² – 2x + 5 = 0
   2. x² + 2x + 5 = 0
   3. x² – 2x – 5 = 0
   4. x² + 2x – 5 = 0
6. If S₁, S₂ are the roots of ax² + bx + c = 0, then sum of roots is:
   1. c/a
   2. a/c
   3. –b/a
   4. a/b
7. Solution set of $2^2x – 2^{x + 1} = 0$? :
   1. {0}
   2. {0, 1}
   3. {0, –1}
   4. {1}
8. The discriminant of ax² + bx + c = 0 is:
   1. b² + 4ac
   2. b² – 4ac
   3. 4ac – b²
   4. -b² – 4ac
9. Roots of the equation x² – 5x + 5 = 0 are:
   1. Imaginary
   2. Rational
   3. Equal
   4. Irrational
10. Solution set of $x + \frac{1}{x}$= 2 is:
    1. {0}
    2. {-1}
    3. {-1 , 1}
    4. {1}