1.

Find the equation of straight line passing through (–2, 4) and making non-zero intercepts whose sum is zero. 

Answer»

Let X – intercept = a

Y – intercept = b 

By hypothasis a + b = 0

⇒ b = – a 

Intercept form (x/a) + (y/b) = 1 

⇒ (x/a) + (y/-a) = 1

⇒ x – y = a 

But this straight line passing through (–2, 4). 

∴ – 2 – 4 = a 

⇒ a = – 6 

∴ Required straight line equation is 

x – y = – 6 

⇒ x – y + 6 = 0



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