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Question

Mathematics Question on Three Dimensional Geometry

The foot of the perpendicular from (2,4,−1)(2,4,-1) to the line x+5=14(y+3)=−19(z−6)x+5=\frac{1}{4}(y+3)=-\frac{1}{9}(z-6)

A

(−4,1,−3)(-4,1,-3)

B

(4,−1,−3)(4,-1,-3)

C

(−4,−1,3)(-4,-1,3)

D

(−4,−1,−3)(-4,-1,-3)

Answer

(−4,1,−3)(-4,1,-3)

Explanation

Solution

In a given options, only option [a] satisfies the given equation of line.