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

The roots of the equation:

• complex A
• irrational B
• rational 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

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

Four fourth roots of 625 are:

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

Sum of all four fourth roots of unity is:

• 1 A
• 0 B
• -1 C
• 3 D

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

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

• 6 A
• 3 B
• 9 C
• none of these 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

Which one is radical equation:

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

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

• linear equation A
• Quadraticequation B
• cubicequation C
• radicalequation D

6 g of hydrogen gas is.

• 1 mole

  A

• 2 moles

  B

• 3 moles

  C

• 4 moles

  D

The other name of quadratic equation is:

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

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

• 
  A
• 
  B
• 
  C
• none of these 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