NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

If the sum of the roots of (a + 1)x²+ (2a + 3)x +(3a+4) = 0 is -1, then product of the roots is

• 1 A
• 2 B
• -2 C
• -1 D

The direction cosines of y-axis are

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

The value of x, and y, when (x + iy)²= 5 + 4i

• X = 2, y = -1 A
• X = -2, y = 1 B
• X = 2, y = -1 C
• X = 2, y = 2 D

• 
  A
• 
  B
• 
  C
• 
  D

A vector of magnitude zero is called

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• Both A and B D

What is a proper rational fraction?

• 
  A
• 
  B
• 
  C
• All are proper rational fractions D

The difference of two consecutive terms of an A.P. is called

• Constant of series A
• Common ratio B
• Common difference C
• General term D

• 
  A
• 
  B
• 
  C
• 
  D

If x < y, 2x = A, and 2y =B, then

• A = B A
• A < B B
• A < x C
• B < y D

• 
  A
• 
  B
• 
  C
• 
  D

In 30,60,90 triangle, if the smallest side is 6 then the side opposite to the angle of 60°is

• 12 A
• 3 B
• 
  C
• 6 D

If the diagonal of a square has coordinates (1, 2) and (5,6) the length of a side is

• 3 A
• 4 B
• 1 C
• 5 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