ECAT Pre Computer Science Mathematics MCQ Test With Answer for Full Book

• 
  A
• 
  B
• 
  C
• 
  D

d/dx (cos x²) =

• -2x cos x A
• -2x sin x² B
• -2x tan x C
• -2x sec² x D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

If points (-1 , h), (3,2) and (7,3) are collinear then h=

• 3 A
• 4 B
• 0 C
• None of these D

• I A
• 14 I B
• 0 C
• None of these D

On simplifying the express in sin2O/1+Cos 2O the result is.

• Sin O A
• CotanO B
• Tan O C
• Sec O D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

If 4 sin²θ=1, then values ofθare

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 6x + 2 + c B
• 6x + x²+ c C
• 6x³+ x²+ x D

Sum of all the four forth roots of unity is

• 1 A
• -1 B
• i C
• 0 D

On simplifying the equation 1+cosx/1+sec x' the result is.

• Sin x A
• Cosec x B
• Cos x C
• Sec x D

• zero at x A
• differentiable at x B
• continuous at x C
• none of these D

If y=x^mthen dy/dx equals:

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D

The sixth term of the sequence 1,3,12,60....is

• 1500 A
• 72 B
• 2160 C
• 2520 D

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

• Constant function A
• Variable value B
• Function of upper limit C
• All D

The graph of the quadratic equation is

• Straight line A
• Circle B
• Parabola C
• elipse D

• 
  A
• 
  B
• 
  C
• 
  D

A circle passing through the vertices of any triangle is called ______

• In circle A
• Circum circle B
• Escribed circle C
• None of these D

A function whose domain is a subset of natural numbers is called ______

• Identity function A
• Sequence B
• Onto function C
• Series D

• 
  A
• 
  B
• 
  C
• 
  D

If in a set of real no a is multiplicative identity then

• a,a = a² A
• a,a = 1 B
• a,a = 0 C
• None of these D

(2.02)4 s equal to

• 16 A
• 16.6496 B
• 17 C
• 18 D

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

• A.P. A
• G.P. B
• H.P. C
• None of these D

Period of tan x is ______

• 
  A
• 
  B
• 
  C
• 
  D

• image A
• pre-image B
• constant C
• none of these D

Roots of the equation x²+ 5x - 1 = 0 are

• Rational A
• Irrational B
• Complex C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

For a positive integer n

• n! = n(n + 1) A
• n! = n(n+1)! B
• n! = n(n - 1 ) C
• n! = n(n - 1)! D

• 0 A
• 1 B
• 2 C
• 4 D