Coordinate Geometry (SSC)

Total Questions: 32

21. What is the area (in unit squares) of the region enclosed by the graphs of the equations 2x – 3y + 6 = 0, 4x + y = 16 and y = 0 ? [SSC CGL Tier II (29/01/2022)]

Correct Answer: (b) 14
Solution:

22. The graphs of the equations 7x + 11y = 3 and 8x + y = 15 intersect at the point P, which also lies on the graph of the equation. [SSC CGL Tier II (03/02/2022)]

Correct Answer: (c) 3x + 5y = 1
Solution:

23. The graph of the equations 3x – 20y – 2 = 0 and 11x – 5y + 61 = 0 intersect at P(a, b). What is the value of (𝑎² + 𝑏² − 𝑎𝑏)/(𝑎² − 𝑏² + 𝑎𝑏) [SSC CGL Tier II (15/11/2020)]

Correct Answer: (b)
Solution:

24. The area (in sq units) of the triangle formed by the graphs of equations 8x + 3y = 24 , 2x + 8 = y and the x-axis is: [SSC CGL Tier II (15/11/2020)]

Correct Answer: (a) 28
Solution:

25. The graph of the linear equation 3x – 2y = 8 and 4x + 3y = 5 intersect at the point (α,β). What is the value of (2α − β)? [SSC CGL Tier II (16/11/2020)]

Correct Answer: (d) 5
Solution:

26. What is the reflection of the point (5, – 3) in the line Y = 3 ? [SSC CGL Tier II (18/11/2020)]

Correct Answer: (c) (5, 9)
Solution:

27. The graphs of the linear equations 4x – 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to: [SSC CGL Tier II ( 18/11/2020)]

Correct Answer: (c) – 4
Solution:

28. The graphs of the equations 3x + y – 5 = 0 and 2x – y – 5 = 0 intersect at the point P(α,β). What is the value of (3α + β) ? [SSC CGL Tier II (11/09/2019)]

Correct Answer: (d) 5
Solution:

29. The graph of the equation x – 7y = – 42, intersects the y -axis at P(α,β) and the graph of 6x + y - 15 = 0, intersects the x-axis at Q(γ , δ). What is the value of α + β + γ + δ ? [SSC CGL Tier II (11/09/2019)]

Correct Answer: (a)
Solution:

30. The point of intersection of the graphs of the equations 3x – 5y = 19 and 3y – 7x + 1 = 0 is P(α , β). What is the value of (3α − β) ? [SSC CGL Tier II (12/09/2019)]

Correct Answer: (b) –1
Solution: