Solveeit Logo
Login

Question

Question: If the equation of a line and a plane be \(\frac{x + 3}{2} = \frac{y - 4}{3} = \frac{z + 5}{2}\)and\...

If the equation of a line and a plane be x+32=y−43=z+52\frac{x + 3}{2} = \frac{y - 4}{3} = \frac{z + 5}{2}and4x−2y−z=14x - 2y - z = 1respectively, then

A

Line is parallel to the plane

B

Line is perpendicular to the plane

C

Line lies in the plane

D

None of these

Answer

Line is parallel to the plane

Explanation

Solution

4(2)−2(3)−1(2)=04 ( 2 ) - 2 ( 3 ) - 1 ( 2 ) = 0

Line is parallel to the plane.