Coordinate Geometry (SSC)

Total Questions: 32

11. What is the area of the region created by the two linear equations 2x + y = 6 and 2x - y = - 2 bounded by these lines and the x-axis ? [SSC CHSL 03/07/2024 (2nd Shift)]

Correct Answer: (a) 8 sq units
Solution:


12. The perpendicular length from the origin to the line 6x + 8y - 48 = 0 is: [SSC CHSL 05/07/2024 (3rd Shift)]

Correct Answer: (a) 4.8 unit
Solution:

13. If the graph of the equation 20𝑥 + 21y = 420 cuts the coordinate axes at P and Q, then what is the measure of the length (in units) of PQ ? [SSC CHSL 05/07/2024 (4th Shift)]

Correct Answer: (a) 29
Solution:

14. If the intersection point of the equations 3p − 2q + 23 = 0 and −2p + q − 13 = 0 on the graph is (p, q), then the value of (3p + q) is equal to : [SSC CHSL 09/07/2024 (2nd Shift)]

Correct Answer: (b) - 2
Solution:

15. The lines x + y = 10 and -3x + y = 2 have a unique solution. What is the distance (in units) between the unique solution and the point of intersection of the line x + y = 10 and the x-axis? [SSC CHSL 09/07/2024 (3rd Shift)]

Correct Answer: (b) 8√2
Solution:


16. Find the equation of the sphere having centre (-1,2,-3) and the radius of 3 units. [SSC CHSL 09/07/2024 (3rd Shift)]

Correct Answer: (a) x² + y² + z² + 2x - 4y + 6z + 5 = 0
Solution:

17. Find the radius of the circle 𝑥² + 𝑦² = 25. [SSC CHSL 08/08/2023 (4th Shift)]

Correct Answer: (b) 5 unit
Solution:

18. Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinates axis. [SSC CGL Tier II (07/03/2023)]

Correct Answer: (c) x-axis at (7,0) and y-axis at (0,-21)
Solution:

19. The graph of the equation x = a (a ≠ 0) is a ______. [SSC CGL Tier II (08/08/2022)]

Correct Answer: (b) line parallel to y axis
Solution:

20. The graphs of the equations:- [SSC CGL Tier II (29/01/2022)]

Correct Answer: (c) 3x − y − 7 = 0
Solution: