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

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

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

If a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

• 8 A
• -2 B
• 4 C
• 5 D

Solution set of the equation x² - 3x + 2 = 0 is

• {-1, 2} A
• {1, -2} B
• {-1, -2} C
• {1, 2} D

• 4 A
• 16 B
• 8 C
• 64 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

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

• 7 A
• -7 B
• 
  C
• 
  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 the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

• 0 A
• 1 B
• -1 C
• 2 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

Four fourth roots of 625 are:

• ±5,±5i A
• ±5,±25i B
• ±25,±25i C
• none of these D

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

Sum of all three cube roots of unity is:

• 1 A
• -1 B
• 0 C
• 3 D

• 
  A
• 
  B
• 
  C
• none of these D

• 1 A
• 0 B
• 2 C
• 3 D

Which one is radical equation:

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

How many complex cube roots of unity are there:

• 2 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 product P(x) . Q(x) will be a polynomial of degree:

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

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