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Coordinate Geometry

SSC CGL Quant. Try each one first, then open its answer.

Top 10 SSC CGL PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    Asked 3 times: 12 Sep 2025 S1*, 18 Sep 2025 S2*, 21 Sep 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    70
    If y=mx+1y = mx + 1 passes through (2,5)(2,5), find m.

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  2. Question 2

    Asked 3 times: 12 Sep 2025 S2*, 19 Sep 2025 S1*, 19 Sep 2025 S3 (* = numbers or wording changed that year) See all 3 times it was asked

    66
    Which point lies on y=−3x+7y = -3x + 7?

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  3. Question 3

    Asked 3 times: 13 Sep 2025 S2*, 16 Sep 2025 S2*, 19 Sep 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    66
    What is the quation of line through (-1,-2) with slope -3.

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  4. Question 4

    This type asked 3 times: 14 Sep 2025 S1, 21 Sep 2025 S3, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 3 of this type

    69
    Find the point where y=5x−10y = 5x - 10 crosses x-axis.

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  5. Question 5

    This type asked 3 times: 18 Sep 2025 S1, 19 Sep 2025 S2, 21 Sep 2025 S1. This one: 21 Sep 2025 S1 See all 3 of this type

    73
    In a triangle with vertices P(x, y), Q(5, -1), and R(2, 6), the Centroid is at G(4, 2). What are the coordinates of vertex P?

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  6. Question 6

    Asked 2 times: 17 Sep 2025 S3*, 21 Sep 2025 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    68
    Find slope of the line passing through points (-2,5) and (4,-7).

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  7. Question 7

    Asked 2 times: 17 Sep 2025 S1*, 18 Sep 2025 S3 (* = numbers or wording changed that year) See all 2 times it was asked

    66
    Find slope of line 7x+4y=87x + 4y = 8.

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  8. Question 8

    Asked 2 times: 14 Sep 2025 S3*, 15 Sep 2025 S3 (* = numbers or wording changed that year) See all 2 times it was asked

    73
    What is the slope of line perpendicular to y=−3x+7y = -3x + 7?

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  9. Question 9

    This type asked 2 times: 17 Sep 2025 S1, 17 Sep 2025 S3. This one: 17 Sep 2025 S3 See all 2 of this type

    69
    What is the equation of the perpendicular bisector of the line segment connecting the points (2, 8) and (6, 4)?

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  10. Question 10

    Asked once: 21 Sep 2025 S3 (same type asked 3 times) See all 3 of this type

    70
    Find the x-intercept of 5x+2y=105x + 2y = 10

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