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Question: A plane \(\pi\) makes intercepts 3 and 4 respectively on z-axis and x-axis. If \(\pi\) is parallel t...

A plane π\pi makes intercepts 3 and 4 respectively on z-axis and x-axis. If π\pi is parallel to y-axis, then its equation is

A

3x+4z=123x + 4z = 12

B

3z+4x=123z + 4x = 12

C

3y+4z=123y + 4z = 12

D

3z+4y=123z + 4y = 12

Answer

3x+4z=123x + 4z = 12

Explanation

Solution

X-intercept (a)=4( a ) = 4 Z-intercept(c)=3( c ) = 3

Required equation = x4+z3=1\frac { x } { 4 } + \frac { z } { 3 } = 1 or 3x+4z=123 x + 4 z = 12 .