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Question: The d.r.’s of normal to the plane through (1, 0, 0) and (0, 1, 0) which makes an angle \(\pi / 4\) w...

The d.r.’s of normal to the plane through (1, 0, 0) and (0, 1, 0) which makes an angle π/4\pi / 4 with plane x+y=3x + y = 3, are

A

1,2,11 , \sqrt { 2 } , 1

B

1,1,21,1 , \sqrt { 2 }

C

1, 1, 2

D

2,1,1\sqrt { 2 } , 1,1

Answer

1,1,21,1 , \sqrt { 2 }

Explanation

Solution

Let d.r.’s of normal to plane (a, b, c)

a(x−1)+b(y−0)+c(z−0)=0a ( x - 1 ) + b ( y - 0 ) + c ( z - 0 ) = 0 ……(i)

It is passes through (0, 1, 0).