First Year Mathematics Chapter 8 Online MCQ Test for 1st Year Mathematics Chapter 8 (Mathematical Induction and Binomial Theorem)

The general solution of sin x = cos x is ___________:

• nπ A
• 2nπ B
• 
  C
• 
  D

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

• 
  A
• 
  B
• 
  C
• none of these D

Arithmetic series is only possible if:

• |d| = 1 A
• |d| < 1 B
• |d| > 1 C
• none D

• 4 A
• 6 B
• 8 C
• 10 D

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

• 3 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

The middle term in the expansion of (a+b)²⁰ is;

• 10^th term A
• 11^thterm B
• 12^thterm C
• 13^thterm D

Sum of all four fourth roots of unity is:

• 1 A
• 0 B
• -1 C
• 3 D

If x is positive or zero, then the principal value of any inverse function of x, if it exists lies in the interval:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative identity of real numbers is:

• 0 A
• 1 B
• 2 C
• -1 D

If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is:

• 0 A
• 1 B
• -1 C
• none of these D

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

• The law of sines A
• The law of cosines B
• The law of tangents C
• The fundamental law D

• 
  A
• 
  B
• 
  C
• 
  D

5x² + 8x + 3 = 0 is:

• 
  A
• 
  B
• 
  C
• 
  D

S = {1, -1, 2, -2} is a group under:

• multiplication A
• subtraction B
• addition C
• none of these D

• 
  A
• 10π B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The disjunction of two statements p and q is denoted by:

• 
  A
• 
  B
• 
  C
• 
  D

Two matrices X and Y are equal if and only if:

• X and Y are of same order A
• Their corresponding elements are equal B
• Both a and b C
• None of these D