Coordinate Geometry · NDA previous year questions

2021 32 questions

1. Q1062021 · 18 Apr 2021

   Consider the following statements in respect of the points (p, p - 3), (q + 3, q) and (6, 3): 1. The points lie on a straight line. 2. The points always lie in the first quadrant only for any value of p and q. Which of the above statements is/are correct?

   1. A.1 only
   2. B.2 only
   3. C.Both 1 and 2
   4. D.Neither 1 nor 2
   Show answer

   Answer: A

2. Q1072021 · 18 Apr 2021

   What is the acute angle between the lines x - 2 = 0 and √3x - y - 2 = 0?

   1. A.0°
   2. B.30°
   3. C.45°
   4. D.60°
   Show answer

   Answer: B

3. Q1082021 · 18 Apr 2021

   The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

   1. A.2x + y = 0
   2. B.2x - y = 0
   3. C.x + 2y = 0
   4. D.x - 2y = 0
   Show answer

   Answer: A

4. Q1092021 · 18 Apr 2021

   If any point on a hyperbola is (3tan θ, 2sec θ), then what is the eccentricity of the hyperbola?

   1. A.$\frac{3}{2}$
   2. B.$\frac{5}{2}$
   3. C.$\frac{\sqrt{11}}{2}$
   4. D.$\frac{\sqrt{13}}{2}$
   Show answer

   Answer: D

5. Q1102021 · 18 Apr 2021

   Consider the following with regard to eccentricity (e) of a conic section: 1. e = 0 for circle 2. e = 1 for parabola 3. e < 1 for ellipse Which of the above statements is/are correct?

   1. A.1 and 2 only
   2. B.2 and 3 only
   3. C.1 and 3 only
   4. D.1, 2 and 3
   Show answer

   Answer: D

6. Q1132021 · 18 Apr 2021

   What is the projection of the line segment joining A(1, 7, -5) and B(-3, 4, -2) on y-axis?

   1. A.5
   2. B.4
   3. C.3
   4. D.2
   Show answer

   Answer: C

7. Q1142021 · 18 Apr 2021

   What is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, -2, k + 1) also passes through the point (15, 2, -4)?

   1. A.Zero
   2. B.One
   3. C.Two
   4. D.Infinite
   Show answer

   Answer: A