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

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

If 4^x = 2, then x equals:

• 2 A
• 1 B
• 
  C
• 
  D

Equations having a common solution are called:

• linear A
• quadratic B
• homogeneous C
• simultenaeous 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

• 
  A
• 
  B
• 
  C
• i D

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

Which one is exponential equation:

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

The roots of the equation:

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

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

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

Sum of all three cube roots of unity is:

• 1 A
• -1 B
• 0 C
• 3 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

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

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

The other name of quadratic equation is:

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

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

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

6 g of hydrogen gas is.

• 1 mole

  A

• 2 moles

  B

• 3 moles

  C

• 4 moles

  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