Coordinate Geometry (Railway Maths)

Total Questions: 57

11. The graphs of the equations 3x - 2y - 11 = 0 and x + y = 7 intersect at P (α, β). What is the value of (3α + 5β)? [Level 2 (13/06/2022) Shift 2 ]

Correct Answer: (c) 25
Solution:

12. The straight line kx – 3y = 6 passes through the point (3,2). What is the value of k ? [Level 2 (16/06/2022) Shift 3 ]

Correct Answer: (b) 4
Solution:

13. Which point on the given number line represents 6/5? [RRB NTPC 05/01/2021 (Morning) ]

Correct Answer: (a) R
Solution:

14. If (2, 7), (5, 1), (x, 3) are the vertices of a triangle whose area is 18 (sq units) then find the possible values of x? [RRB NTPC 12/01/2021 (Morning)]

Correct Answer: (b) 10 or -2
Solution:

15. Find the equation of the tangents to the circle x² + y² = 9 at x = 2. [RRB NTPC 19/01/2021 (Morning)]

Correct Answer: (b) 2x + √5y = 9
Solution:

16. What is the number of all positive solutions of the equation |x × 1| = 0 ? [RRB NTPC 21/01/2021 (Morning)]

Correct Answer: (c) 0
Solution:

17. Find the coordinates of the point which will divide the line joining the point (2, 4) and (7, 9) internally in the ratio 1 : 2 [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (b) (11/3, 17/3)
Solution:

18. The area, in square units, of a triangle formed by the coordinate axis and the straight line 5x + 7y = 35 is: [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (b) 35/2
Solution:

19. The position of the point (3, 4) with respect to the circle x² + y² - 3x - 4y + 1 = 0: [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (b) lies outside of it
Solution:

20. If (2, - 2) and (5, 2) are two consecutive vertices of a square, then the length of each side of the square will be : [RRB NTPC 08/02/2021 (Evening) ]

Correct Answer: (a) 5 units
Solution: