PYQ Vault

Straight Line

MHT-CET Maths. Try each one first, then open its answer.

Top 10 MHT-CET 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

    This type asked 5 times: 3 May 2023 S1, 4 May 2023 S1, 15 May 2023 S1, 10 May 2024 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 5 of this type

    54
    The line L1L_1 given by xp+y2=1\dfrac{x}{p} + \dfrac{y}{2} = 1 passes through the point (5,0)(5, 0). The line L2L_2 given by x10+yq=1\dfrac{x}{10} + \dfrac{y}{q} = 1 is parallel to L1L_1. Then the distance between the lines L1L_1 and L2L_2 is...

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  2. Question 2

    This type asked 4 times: 3 May 2023 S2, 11 Apr 2026 S1, 15 Apr 2026 S2, 19 May 2026 S1. This one: 19 May 2026 S1 See all 4 of this type

    60
    The equation of the line which passes through the point of intersection of lines x+2y+6=0x + 2y + 6 = 0, 2x−y=22x - y = 2 and which makes intercept 5 on Y - axis is

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  3. Question 3

    This type asked 4 times: 25 Apr 2025 S1, 13 Apr 2026 S2, 14 May 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    59
    If P(2,7)P(2, 7) is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of line is

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  4. Question 4

    This type asked 4 times: 10 May 2023 S2, 9 May 2024 S2, 20 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 4 of this type

    55
    A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

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  5. Question 5

    Asked 3 times: 16 May 2023 S2*, 12 May 2026 S1*, 13 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    61
    The coordinates of the foot of the perpendicular from the point (2,3)(2, 3) on the line y=3x+4y = 3x + 4 is given by ...

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  6. Question 6

    This type asked 3 times: May 2022 S1, 11 May 2023 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 3 of this type

    61
    The equations of the lines passing through the center of circle x2+y2−4x−10y−7=0x^2 + y^2 - 4x - 10y - 7 = 0 and intersecting the line 3x−y−1=03x - y - 1 = 0 at an angle π4\dfrac{\pi}{4} is...

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  7. Question 7

    This type asked 3 times: 12 May 2024 S1, 13 May 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 3 of this type

    56
    The sum of the ordinates of the points on the line 4x+3y=104x + 3y = 10 whose distance from the line x+y−4=0x + y - 4 = 0 is 2\sqrt{2} is equal to ...

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  8. Question 8

    This type asked 3 times: 12 May 2026 S1, 13 May 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 3 of this type

    58
    If the polar coordinates of the point P are (1,7π4)\left(1, \dfrac{7\pi}{4}\right), then the sum of the squares of abscissa and ordinate of Cartesian coordinates of point P is

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  9. Question 9

    This type asked 3 times: 4 May 2023 S2, 20 Apr 2025 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 3 of this type

    104
    The acute angle between the line 4x−2y+13=04x- 2y+ 13 = 0 and the line which makes equal intercepts with the co-ordinate axes is

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  10. Question 10

    Asked 2 times: 12 May 2024 S1*, 13 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    59
    The points on the line x+y−4=0x + y - 4 = 0 which are at one unit distance from the line 4x+3y−10=04x + 3y - 10 = 0 are...

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