NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

The point (-5, 3) is the center of a circle and P(7, -2) lies on the circle. The radius of the circle is

• 2 A
• 13 B
• 7 C
• 8 D

• p < r A
• p > r B
• p + r < 0 C
• p - r < 0 D

Write the first four terms of the arithmetic sequence if a₁= 5 and other three consecutive terms are 23,26,29

• 23, 26, 29, 32 A
• 5, 8, 11, 14 B
• 8, 11, 14, 17 C
• None of these D

The number ways in which 5 distinct toys can be distributed among 3 children is

• 3⁵ A
• 5³ B
• C₃⁵ C
• P₃⁵ D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• An irrational number A
• Whole number B
• A positive integer C
• A rational number D

• Tan x A
• X B
• - x C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The Domain of f(x) = log x is

• 
  A
• 
  B
• 
  C
• 
  D

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

• Same as the original determinant A
• Additive inverse of the original determinant
  B
• Both A and B C
• Adj of the original matrix D

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

• 
  A
• 
  B
• 
  C
• 
  D

The circle (x-2)²+ (y+3)²= 4 is not concentric with the circle

• (x-2)²+ (y+3)²= 9 A
• (x+2)²+ (y-3)²= 4 B
• (x-2)²+ (y+3)²= 8 C
• (x-2)²+ (y+3)²= 5 D

In which quadrant is the solution of the equation sin x - 1 = 0

• II quadrants A
• II and III quadrants B
• III and IV quadrants C
• I quadrant D

What is the period of Cot x?

• 
  A
• 
  B
• 
  C
• 
  D