NAT II Physical Science Mathematics

• 
  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

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

• (3, 2) A
• (2, 3) B
• (1, 8) C
• (0, 3) D

If K₁: K₂= 1 : 1 then the point P dividing the line is

• Midpoint A
• Extreme left point B
• Extreme Right Point C
• P lies out side k₁and k₂ D

• 
  A
• 
  B
• 
  C
• 
  D

The nth term in G.P 3,-6,12,....................... is

• 3(-2)^n-1 A
• 2(-2)ⁿ⁺¹ B
• 3(-2)ⁿ C
• 4(-2)^n-1 D

• 
  A
• 
  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

The conic is a parabola if

• e < 1 A
• e > 1 B
• e = 1 C
• e = 0 D

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 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

• 10 A
• 20 B
• 40 C
• 26 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

• 
  A
• 
  B
• 
  C
• None D

A function F(x) is called even if

• F(x) = F(-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D