First Year Mathematics Chapter 4 Online MCQ Test for 1st Year Mathematics Chapter 4 Quadratic Equations Preparation

Complex roots of real quadratic equation always occur in:

• conjugate pair A
• ordered pair B
• reciprocal pair C
• none of these D

The roots of the equation 25x² - 30x + 9 = 0 are;

• rational A
• irrational B
• equal C
• complex D

The other name of quadratic equation is:

• linear equation A
• 1st degree equation B
• 2nd degree equation C
• none D

If the Discriminant of a quadratic equation is a perfect square, then roots are:

• real and equal A
• complex B
• rational C
• irrational D

• 
  A
• 
  B
• 
  C
• none of these D

For what value of k, the roots of the equation x² + √k x + 2 = 0 are equal:

• 1 A
• 8 B
• 2 C
• 4 D

If α, ß are the roots of x² + kx + 12=0 such that α-ß = 1 then K = :

• 0 A
• ±5 B
• ±7 C
• ±15 D

Sum of all four fourth roots of unity is:

• 1 A
• 0 B
• -1 C
• 3 D

Equations having a common solution are called:

• linear A
• quadratic B
• homogeneous C
• simultenaeous D

If the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

• 0 A
• 1 B
• -1 C
• 2 D

• 1 A
• 0 B
• 2 C
• 3 D

No. of ways of solving a quadratic equation:

• 1 A
• 3 B
• 2 C
• 4 D

3^2x - 3^x - 6 = 0 is:

• reciprocal equation A
• exponentialequation B
• radicalequation C
• none of these D

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

• 7 A
• -7 B
• 
  C
• 
  D

If 4^x = 2, then x equals:

• 2 A
• 1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• i D

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

• 3 A
• 2 B
• 1 C
• 4 D

If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

• 1 A
• 3 B
• 2 C
• 4 D

If the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots is:

• 1 A
• 2 B
• 3 C
• 4 D

Which one is radical equation:

• ax² + bx + c A
• ax + b = 0 B
• 
  C
• 2^x = 16 D