11th Class ICS Mathematics Chapter 4 Test Online

The ration of the sum and product of roots of 7x² - 12x + 18 = 0 is:

• 7:12 A
• 2:3 B
• 3:2 C
• 7:18 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

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

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

How many complex cube roots of unity are there:

• 2 A
• 0 B
• 1 C
• 3 D

• 
  A
• 
  B
• 
  C
• i D

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

• 7 A
• -7 B
• 
  C
• 
  D

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

• 6 A
• 3 B
• 9 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

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

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

The roots of the equation:

• complex A
• irrational B
• rational 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

Which one is exponential equation:

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

Sum of all three cube roots of unity is:

• 1 A
• -1 B
• 0 C
• 3 D

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

No. of ways of solving a quadratic equation:

• 1 A
• 3 B
• 2 C
• 4 D

• 1 A
• 0 B
• 2 C
• 3 D