This type of question, asked 5 times: May 2022 S1, 20 Apr 2025 S1, 25 Apr 2025 S1, 16 Apr 2026 S1, 18 Apr 2026 S1. All 5 questions below, oldest first.
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Question 1
May 2022 S1
124
A tetrahedron has vertices P(1,2,1), Q(2,1,3), R(−1,1,2) and O(0,0,0). Then the angle between the faces OPQ and PQR is
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Question 2
20 Apr 2025 S1
108
If the angle between the planes x−2y+3z−5=0 and x+αy+2z+7=0 is cos−1(141) then the difference between the values of α is
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Question 3
25 Apr 2025 S1
119
A tetrahedron has vertices O(0,0,0),A(1,2,1), B(2,1,3),C(−1,1,2). Then the angle between the faces OAB and ABC will be
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Question 4
16 Apr 2026 S1
91
The direction ratios of the normal to the plane passing through (1, 0, 0), (0, 1, 0) which makes an angle of measure 45∘ with the plane 2x+3y=7 are....
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Question 5
18 Apr 2026 S1
93
The acute angle θ between the xy-plane and the plane passing through the point (1,2,4) and parallel to the vectors with direction ratios 3,2,−1 and 1,−2,−2 is...
