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Foot of the perpendicular from a point to a plane

This type of question, asked 3 times: 19 Apr 2025 S2, 21 Apr 2025 S1, 13 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    19 Apr 2025 S2

    135
    The coordinates of the foot of the perpendicular drawn from a point P(−1,1,2)P( - 1,1,2) to the plane 2x−3y+z−11=02x- 3y+z- 11 = 0 are

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  2. Question 2

    21 Apr 2025 S1

    140
    If the distance of the point P(1,−2,1)P(1, - 2,1) from the plane x+2y−2z=αx+ 2y- 2z=\alpha, where α>0\alpha> 0 is 5 units, then the foot of the perpendicular from P to the plane is

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  3. Question 3

    13 Apr 2026 S1

    93
    The co-ordinates of the foot of the perpendicular from the origin to the plane 2x−3y−6z=492x - 3y - 6z = 49 are...

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