JEE Main | 2016Trigonometric EquationMedium

Question

Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y  5 = 0. If its diagonals intersect at (–1, – 2), then which one of the following is a vertex of this rhombus?

Options

A.

(–3, –8)

B.

13, - 83

C.

-103, - 73

D.

(–3, –9)

Solution

Remaining two sides of rhombus are x – y – 3 = 0 and 7x – y + 15 = 0.

So on solving, we get vertices as 13, - 83,(1,2)-73, - 43and (-3, -6)

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