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The plane passing through the point (5, 1, 2) perpendicular to the line  will meet the line in the point

a)

(1, 2, 3)

b)

(2, 3, 1)

c)

(1, 3, 2)

d)

(3, 2, 1)



Question ID - 55146 | SaraNextGen Top Answer

The plane passing through the point (5, 1, 2) perpendicular to the line  will meet the line in the point

a)

(1, 2, 3)

b)

(2, 3, 1)

c)

(1, 3, 2)

d)

(3, 2, 1)

1 Answer
127 votes
Answer Key / Explanation : (a ) -

(a)

Equation of the plane through (5, 1, 2) is

   …(i)

Given plane (i) is perpendicular to the line

 Equation of normal of Eq. (i) and straight line (ii) are parallel

    (say)

From Eq. (i),

Or

Any point on Eq. (ii) is

Which lies on Eq. (iii), then

Required point is (1, 2, 3)

127 votes


127