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Question: The intercepts of the plane \(5x - 3y + 6z = 60\)on the co-ordinate axes are...

The intercepts of the plane 5x3y+6z=605x - 3y + 6z = 60on the co-ordinate axes are

A

(10,20,10)(10,20, - 10)

B

(10, – 20, 12)

C

(12, – 20, 10)

D

(12, 20, – 10)

Answer

(12, – 20, 10)

Explanation

Solution

5x603y60+6z60=1\frac { 5 x } { 60 } - \frac { 3 y } { 60 } + \frac { 6 z } { 60 } = 1x12y20+z10=1\frac { x } { 12 } - \frac { y } { 20 } + \frac { z } { 10 } = 1

Hence, the intercepts are (12, –20, 10).