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Two sides of a rhombus are along the lin...

Two sides of a rhombus are along the lines, x-y+1=0 and 7x-y-5=0. If its diagnols intersect at (-1,-2), then which one of the following is a vertex of a rhombus? a. `(-3,-9)` b. `(-3,-8)` c. `(1/3,-8/3)` d. `(-10/3,-7/3)`

Text Solution

Verified by Experts

given that `x-y+1=0` eqn(1)
`7x-y-5=0` eqn(2)
(2)-(1)
`6x-6=0`
`x=1 & y=2`
to find the slope points are given as
`(1,2) & (-1,-2)`
`m= (2-(-2))/(1-(-1))= 4/2 = 2`
...
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