Coordinate Geometry (Railway Maths)

Total Questions: 57

31. Which of the following points lies on the x-axis? [RRB NTPC 09/03/2021 (Morning)]

Correct Answer: (b) (2, 0)
Solution:

(2 , 0) lies on x - axis because here , y coordinate = 0

32. If the center of a circle (c) is (-2, 3) and its radius is 4, then find the equation of the circle. [RRB NTPC 09/03/2021 (Evening)]

Correct Answer: (b) x² + y² + 4x - 6y - 3 = 0
Solution:

33. Find the centroid of a triangle formed by the points (2, 5), (3, 9) and (4, 1) [RRB NTPC 11/03/2021 (Evening)]

Correct Answer: (d) (3, 5)
Solution:

34. Find the relation between x and y such that the point (x, y) is equidistant from (5, 3) and (4, 6). [RRB NTPC 12/03/2021 (Morning)]

Correct Answer: (d) 3y - x = 9
Solution:

35. The ratio in which point (4, 5) divides the line joining two points (2, 3) and (7, 8) is: [RRB NTPC 13/03/2021 (Morning)]

Correct Answer: (a) 2 : 3
Solution:

36. The equation of a straight line passing through (-2, 5) and (1, 3) is: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (d) 2x + 3y - 11 = 0
Solution:

37. The intercepts made by the plane 3x - 4y - 2z = 6 with the coordinate axis are: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (d) 2, -3/2, -3
Solution:

38. If 2x + y=15, y + 2z = 17 and x + 2y = 9, then the value of 4x + 3y + z = ? [RRB NTPC 15/03/2021 (Morning) ]

Correct Answer: (c) 39
Solution:

39. Which of the following equations represent a line parallel to y - axis ? [RRB NTPC 15/03/2021 (Evening) ]

Correct Answer: (b) x + 3 = 4 - 2x
Solution:

40. A circle x² + y² = a² passes through a point (0, 4). What is the value of a? [RRB NTPC 05/04/2021 (Morning)]

Correct Answer: (b) 4
Solution: