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Statement 1: Let theta be the angle betw...

Statement 1: Let `theta` be the angle between the line `(x-2)/2=(y-1)/(-3)=(z+2)/(-2)` and the plane `x+y-z=5.` Then `theta=sin^(-1)(1//sqrt(51))dot` Statement 2: The angle between a straight line and a plane is the complement of the angle between the line and the normal to the plane.

A

Both the statements are true, and Statement 2 is the correct explanation for Statement 1.

B

Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.

C

Statement 1 is true and Statement 2 is false.

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
c
`sin theta = |(2-3+2)/(sqrt(4+9+4)sqrt(3))|= (1)/(sqrt(51))`
Therefore, Statement 1 is true and Statement 2 is also true by definition.
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