This type of question, asked 7 times: 4 May 2023 S1, 16 May 2023 S2, 13 May 2024 S2, 17 Apr 2026 S2, 13 May 2026 S1, 13 May 2026 S2, 15 May 2026 S1. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
4 May 2023 S1
130
Let a,b∈R. If the mirror image of the point P(a,6,9) w.r.t. line 7x−3=5y−2=−9z−1 is (20,b,−a−9), then ∣a+b∣ is equal to
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Question 2
16 May 2023 S2
105
The co-ordinates of the foot of the perpendicular from the point (0,2,3) on the line 5x+3=2y+1=3z+4 is
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Question 3
13 May 2024 S2
130
The foot of the perpendicular from the point (1,2,3) on the line r=(6i^+7j^+7k^)+λ(3i^+2j^−2k^) has the co-ordinates.
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Question 4
17 Apr 2026 S2
92
The equation of the perpendicular line from the point (2,−3,1) to the line 2x+1=3y−3=−1z+2 is
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Question 5
13 May 2026 S1
90
The plane passing through the point (5,1,2) and perpendicular to the line 2x−4=y−4=z−5 will meet the line at the point
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Question 6
13 May 2026 S2
95
If M is the foot of the perpendicular drawn from A(4,3,2) on the line joining the points B(2,4,1) and C(4,5,3), the co-ordinates of M are ____
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Question 7
15 May 2026 S1
95
The coordinates of the foot of the perpendicular drawn from the point P(−1,3,2) to the line formed by the intersection of the planes x+y+z=1 and 2x−y+z=2 are:
