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Question

Question: The equation of a line passing through the point (–3, 2, – 4) and equally inclined to the axes, are...

The equation of a line passing through the point (–3, 2, – 4) and equally inclined to the axes, are

A

x3=y+2=z4x - 3 = y + 2 = z - 4

B

x+3=y2=z+4x + 3 = y - 2 = z + 4

C

x+31=y22=z+43\frac { x + 3 } { 1 } = \frac { y - 2 } { 2 } = \frac { z + 4 } { 3 }

D

None of these

Answer

x+3=y2=z+4x + 3 = y - 2 = z + 4

Explanation

Solution

Required equation of line is (x+3)1=y21=z+41\frac { ( x + 3 ) } { 1 } = \frac { y - 2 } { 1 } = \frac { z + 4 } { 1 }.