NAT II Physical Science Mathematics

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If the angle of a triangle are in the ratio 2:3:7, the triangle is

• Obtuse A
• Acute B
• Right angle C
• Isosceles D

• 15 A
• 60 B
• 90 C
• 20 D

• 
  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

• 
  A
• 
  B
• 
  C
• 
  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
• -2-i D

• 1 A
• 0 B
• -2 C
• 3 D

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

• (0, e) A
• (0, 1) B
• 
  C
• None D

If the sum of the roots of the equation ax²- 2x + 2a = 0 is equal to their product, then the value of a is

• 1 A
• 2 B
• 3 C
• 4 D