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

Four fourth roots of 625 are:

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

Synthetic division is a process of:

• division A
• subtraction B
• addition C
• multiplication 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

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

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

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

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

Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

• a+c=0 A
• b+c=0 B
• a+b=0 C
• a+b+c=0 D

The roots of the equation:

• complex A
• irrational B
• rational C
• none of these D

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

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

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

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

6 g of hydrogen gas is.

• 1 mole

  A

• 2 moles

  B

• 3 moles

  C

• 4 moles

  D

• 1 A
• 0 B
• 2 C
• 3 D

Equations having a common solution are called:

• linear A
• quadratic B
• homogeneous C
• simultenaeous 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 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