Mathematics Question Paper of NDA(National Defence Academy & Naval Academy) Exam (I), 2008

1. Under which one of the following conditions will the two planes x + y + z = 7 and ax + βy + γz = 3, be parallel (but not coincident)?

(a) a = β = γ = 1 only
 
(b) a = β = γ = 3/7 only
 
(c) a = β = γ

(d) None of the above
 
Ans: (c)

2. The straight line x - 3/2 = y - 4/3 = z - 5/4 is parallel to which one of the following?

(a) 4x + 3y - 5z = 0

(b) 4x + 5y - 4z = 0

(c) 4x + 4y - 5z = 0

(d) 5x + 4y - 5z = 0

Ans: (c)

3. If is the acute angle between the diagonals of a cube, then which one of the following is correct?

(a) θ < 30°    

(b) θ = 60°

(c) 30° < θ < 60°    

(d) θ > 60°

Ans: (d)

4. Which one of the following planes contains the z-axis?

(a) x - z = 0    

(b) z + y = 0

(c) 3x + 2y = 0

(d) 3x + 2z = 0

Ans: (c)

5. Equation of a circle passing through origin is x² + y² - 6x + 2y = O. What is the equation of one of its diameters?

(a) x + 3y = 0    

(b) x + y = 0

(c) x = y    

(d) 3x + y = 0

Ans: (a)

Download Mathematics Paper of NDA Exam I 2008