NAT IIP Physical Science Mathematics Preparation Online Test for Pakistani Students

• Nilpotent matrix A
• Singular matrix B
• Non singular matrix C
• Diagonal matrix D

In the expansion of (a + b)ⁿin every term the sum of the exponents of a and b is

• n A
• n + 1 B
• 2n - 1 C
• 2n + 1 D

• 
  A
• 
  B
• 
  C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

The mid point of the line joining (-1, -3) to (3, -5) is

• (1, 1) A
• (1, -1) B
• (2, -8) C
• (1, -4) D

• 
  A
• 
  B
• 
  C
• 
  D

Which is not a half plane

• ax + by < c A
• ax + by > c B
• Both A and B C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

If -1 < x < 0, which of the following statements must be true?

• x < x²< x³ A
• x < x³< x² B
• x²< x³< x C
• x²< x < x³ D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A and B are matrices such that AB=BA=I then

• A and B are multiplicative inverse of each other
  A
• A and B are additive inverses of each other
  B
• . A and B are singular matrices C
• A and B are equal D

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