Coordinate Geometry (Railway Maths)

Total Questions: 57

1. The area (in square units) of the quadrilateral ABCD, formed by the vertices A (0, -2), B (2, 1), C (0, 4), and D (-2, 1) is [Group D 18/08/2022 (Morning)]

Correct Answer: (d) 12
Solution:

2. The graphs of the equations 2x + 3y = 4 and 3x - y + 5 = 0, intersect at P(α, β). What is the value of (3α - 4β)? [NTPC CBT II Level 2 (16/06/2022) Shift 1]

Correct Answer: (d) -11
Solution:

3. Find the relation between x and y such that the points (x, y) is equidistant from (6, 2) and (4, 6) [NTPC CBT - I 31/01/2021 (Evening)]

Correct Answer: (d) x - 2y = -3
Solution:

4. The equation of the line passing through (2, 3) and perpendicular to the line joining (-5, 6) and (-6, 5) is: [NTPC CBT - I 08/02/2021 (Evening)]

Correct Answer: (a) x + y - 5 = 0
Solution:

5. Three straight lines x + y - 3 = 0, x + y + 2 = 0 and 3x + 3y - 7 = 0 are: [NTPC CBT - I 22/02/2021 (Morning)]

Correct Answer: (a) parallel
Solution:

6. If the centroid of the triangle formed by the points (3, 5), (-7, 4) (10, -6) is at the point (k, 1) then the value of k is: [NTPC CBT - I 13/03/2021 (Morning)]

Correct Answer: (a) 2
Solution:

7. Find the points of intersection of the line 4x - 3y = 10 and the circle x² + y² - 2x + 4y - 20 = 0 [NTPC CBT - I 26/07/2021 (Morning)]

Correct Answer: (a) (4, 2) and (-2, -6)
Solution:

8. There are four distinct points on a plane such that no three points are collinear. Find the number of distinct straight lines that can be drawn through them. [Group D 17/08/2022 (Afternoon)]

Correct Answer: (d) 6
Solution:

9. If the area of the triangle whose vertices are (3, -2), (2, -3) and (p, -4) is 8 square units, then find the value of p. [Group D 30/08/2022 (Afternoon)]

Correct Answer: (b) 17
Solution:

10. The graph of y = 9x² + 16 : [Group D 30/09/2022 (Morning)]

Correct Answer: (d) neither intersects nor touches the x-axis
Solution: