NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

The direction cosines of y-axis are

• 1,0,0 A
• 0,1,0 B
• 0,0,1 C
• 1,1,1 D

• 
  A
• 
  B
• 
  C
• 
  D

The line joining (1, 3) to (a, b) has unit gradient then

• a-b = -2 A
• a+b = 0 B
• a-b + 5 C
• 2a+3b=1 D

If A and B are matrices of same order than (,A + B)(A + B) =

• A²+ B² A
• A²+ B²+ 2AB B
• A + B C
• A²+ B²+ AB + BA D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• Both A and B D

The values of n such that, in the binomial expansion of (1 - x)ⁿ, co-efficient of x², co-efficient of x²is 3, are

• -2, -3 A
• 2, -3 B
• -2, 3 C
• None of these D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• A - U D

• Unit matrix A
• Diagonal matrix B
• Nilpotent matrix C
• Zero matrix D

If Z = (1,2), then Z^-1= ?

• (0.2, 0.4) A
• (-0.2, 0.4) B
• (0.2 , -0.4) C
• (-0.2, -0.4) D

In Binomial Expansion the coefficients of the terms equidistant from beginning and end of the expansion are

• Zero A
• Same B
• Equal to preceding term C
• Equal to following term D

The equation of the normal to the circle x²+ y²= 25 at(4, 3) is

• 3x - 4y = 0 A
• 3x - 4y = 5 B
• 4x + 3y = 5 C
• 4x + 3y = 25 D

• Tan x A
• X B
• - x C
• 
  D

• Free vector A
• Null vector B
• Unit vector C
• None of these D

If the 19th term of A.P is 8 and the 4th term is 20, then the first term is

• 20.2 A
• 25.5 B
• 27.5 C
• 37.5 D

• 
  A
• 
  B
• 
  C
• 
  D