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Statement - 1 : Equations (2 pm sqrt3) x...

Statement - 1 : Equations `(2 pm sqrt3) x - y = 1 pm 2sqrt3` represent two sides of an equilateral triangle having one vertex (2 , 3) and x + y - 2 = 0 as the opposite side .
Statement - 2 : The equation of the lines passing through `(x_(1) , y_(1))` and making constant angle `alpha` with the line y = mx + c are given by
`y - y_(1) = (m pm tan alpha)/( 1 pm tan alpha) ( x - x_(1))`

A

Statement -1 is True , Statement - 2 is true , Statement- 2 is a correct explanation for statement - 10

B

Statement-1 is True , Statement-2 is True , Statement -2 is not a correct explanation for Statement - 1 .

C

Statement-1 is True , Statement - 2 is False .

D

Statement - 1 is False , Statement -2 is True .

Text Solution

Verified by Experts

The correct Answer is:
A
Statement- 2 is true .
Using statement - 2 , the equations of the sides are
`y - 3 = (-1 pm tan 60^(@))/(1 pm tan 60^(@)) (x -2 ) or , (2 pm sqrt3 ) x - y = 1 pm 2 sqrt3`
So , statement -1 is also true . Also , statement - 2 is a correct explanation for statement - 1.
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