Consider a pyramid OPQRS located in the first octant (x 0,y 0,z 0) with O as origin, and OP and OR along the x-axis and the y-axis, respectively. The base OPQR of the pyramid is a square with OP=3. The point S is directly above the mid-point T of diagonal OQ such that TS=3. Then

JEE Advanced 2016 Mathematics question

Consider a pyramid located in the first octant () with as origin, and and along the -axis and the -axis, respectively. The base of the pyramid is a square with . The point is directly above the mid-point of diagonal such that . Then

(A)the acute angle between and is
(B)the equation of the plane containing the triangle is Correct
(C)the length of the perpendicular from to the plane containing the triangle is Correct
(D)the perpendicular distance from to the straight line containing is Correct

Answer: (B),(C),(D)

Solution

, , , , , . (A) , so the angle is not : false. (B) Normal

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Question ID VK-026525