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Question

Mathematics Question on Shortest Distance between Two Lines

Let the plane P : 4x – y + z = 10 be rotated by an angle π2\frac{π}{2} about its line of intersection with the plane x + y – z = 4. If α is the distance of the point (2, 3, -4) from the new position of the plane P, then 35α is

A

85

B

90

C

105

D

126

Answer

126

Explanation

Solution

The correct option is(D): 126