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

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))`.
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

Statement I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(a)
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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.

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. Which of the following statements is/are correct ?

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