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Question

Question: The equation of a straight line passing through (– 3, 2) and cutting an intercept equal in magnitude...

The equation of a straight line passing through (– 3, 2) and cutting an intercept equal in magnitude but opposite in sign from the axes is given by

A

xy+5=0x - y + 5 = 0

B

x+y5=0x + y - 5 = 0

C

xy5=0x - y - 5 = 0

D

x+y+5=0x + y + 5 = 0

Answer

xy+5=0x - y + 5 = 0

Explanation

Solution

Let the equation be xy=ax - y = a

But it passes through (–3, 2), hence a=32=5a = - 3 - 2 = - 5.

Hence the equation of straight line is xy+5=0x - y + 5 = 0.