Trigonometric EquationHard

Question

The distance of the point (1, 0, 2) from the point of intersection of the lineand the plane
x − y + z = 16, is :

Options

A.3√21
B.13
C.2√14
D.8

Solution


Point of intersection of line
= λ(let)
& plane x − y + z = 16
⇒ (3λ + 2) − (4λ − 1) + (12λ + 2) = 16
⇒ λ = 1 ⇒ Q(5, 3, 14) & given P(1, 0, 2)
⇒ PQ = 13

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