A-straight-line-through-2-2-intersects-lines-3-x-y-0-and-3-x-y-0-at-pts-A-amp-B-respectively-Find-equation-of-line-AB-so-that-OAB-is-equilateral-

Question Number 47457 by rahul 19 last updated on 10/Nov/18

A s t r a i g h t l i n e t h r o u g h (2, 2) i n t e r s e c t s

l i n e s \sqrt{3} x + y = 0 a n d \sqrt{3} x - y = 0 a t p t s .

A & B r e s p e c t i v e l y . F i n d e q u a t i o n

o f l i n e A B s o t h a t Δ O A B i s e q u i l a t e r a l ?

Answered by rahul 19 last updated on 10/Nov/18

\sqrt{3} x + y = 0 m a k e s a n a n g l e o f 120 ° w i t h

O X w h e r e a s \sqrt{3} x - y = 0 m a k e s a n a n g l e

o f 60 ° w i t h O X .

∴ r e q u i r e d l i n e i s y = 2 .

Commented by rahul 19 last updated on 10/Nov/18

o k, s i r . .

Commented by rahul 19 last updated on 10/Nov/18

t h i s i s h i n t g i v e n \dots .

I w a n t t o k n o w w h e t h e r a n y o t h e r

l i n e s a t i s f i e s t h e c o n d i t i o n o r i s i t

u n i q u e ?

Commented by mr W last updated on 10/Nov/18

y = 2 i s t h e u n i q u e s o l u t i o n .

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