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The plane containing the line  and also containi its projection on the plane 2x+3y−z=5, contains which one of the following points?

(a)

(2, 0, −2)

(b)

(−2, 2, 2)

(c)

(0, −2, 2)

(d)

(2, 2, 0)


Question ID - 57005 | Toppr Answer

The plane containing the line  and also containi its projection on the plane 2x+3y−z=5, contains which one of the following points?

(a)

(2, 0, −2)

(b)

(−2, 2, 2)

(c)

(0, −2, 2)

(d)

(2, 2, 0)

1 Answer - 5876 Votes

3537

Answer Key : (a) -

The normal vector of required plane

=(2×(2)

=−8

So, direction ratio of normal is (−1, 1, 1)

So required plane is

− (x−3)+(y+2)+(z−1)=0

⇒−x+y+z+4=0

Which is satisfied by(2, 0, −2)



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