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

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

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

Synthetic division is a process of:

• division A
• subtraction B
• addition C
• multiplication D

No. of ways of solving a quadratic equation:

• 1 A
• 3 B
• 2 C
• 4 D

• c = 0 A
• b = 0, c = 0 B
• 
  C
• 
  D

How many complex cube roots of unity are there:

• 2 A
• 0 B
• 1 C
• 3 D

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

• 7 A
• -7 B
• 
  C
• 
  D

• 1 A
• 0 B
• 2 C
• 3 D

If 4^x = 2, then x equals:

• 2 A
• 1 B
• 
  C
• 
  D

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

• m . n A
• m - n B
• m + n C
• m × n D

Which one is radical equation:

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

A numbers exceeds its square root by 6, the number is:

• 6 A
• 3 B
• 9 C
• none of these 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

For what value of k, the sum of the roots of the equation x² + kx + 4 = 0 is equal to the product of its roots:

• ±1 A
• 4 B
• ±4 C
• -4 D

If the sum of the roots of the equation kx² - 2x + 2k = 0 is equal to their product, then the value of k is:

• 1 A
• 2 B
• 3 C
• 4 D

Sum of all three cube roots of unity is:

• 1 A
• -1 B
• 0 C
• 3 D

Sum of all four fourth roots of unity is:

• 1 A
• 0 B
• -1 C
• 3 D

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the quotient P(x) + Q(x) will produce a polynomial of degree:

• m . n, plus a quotient A
• m - n, plus a remainder B
• m ÷ n, plus a factor C
• m + n, plus a remainder D

• quadratic equation A
• reciprocal equation B
• exponential equation C
• none of these D

In ax² + bx + c = 0, if b² - 4ac > 0 and perfect square the roots are:

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