Consider a pyramid OPQRS located in the first octant ( x ≥ 0, y ≥ 0, z ≥ 0) with O as…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
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
(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
- The acute angle between OQ and OS is
- The equation of the plane containing the triangle OQS is x – y = 0
- The length of the perpendicular from P to the plane containing the triangle OQS is
- The perpendicular distance from O to the straight line containing RS is
Answer
(C) The length of the perpendicular from P to the plane containing the triangle OQS is
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let a 1 x + b 1 y + c 1 z + d 1 = 0 and a 2 x + b 2 y + c 2 z + d 2 = 0 be two planes, where d 1 , d 2 > 0 …
- The vectors p q satisfy the system of equations 2 p + q = a , p +2 q = b and the angle between p q is θ. If…
- Let a = i + j and b =2 i - k . The point of intersection of the lines r a = b a and r b = a b is :
- If a ~b lie on a plane normal to the plane containing c ~d then, ( a b ) ( c d ) is equal to
- ( u v ) ( u v ) is equal to
- If the lines x-1 2 = y+1 3 = z-1 4 and x-3 1 = y-k 2 = z 1 intersect, then the value of k is
- a b are two given unit vectors at right angle. The unit vector equally inclined with a b and a b will be :
- The direction ratio’s of the line x – y + z – 5 = 0 = x – 3y – 6 are
More Three Dimensional Geometry questions · Browse all practice questions