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The area of a square with one of its ver...

The area of a square with one of its vertices as (5 , -2) and the mid-points of the diagonals (3,2) is `"_______"`. (in sq. units)

A

40

B

20

C

60

D

70

Text Solution

Verified by Experts

The correct Answer is:
A
Slope of the line parallel to `5x+8y-7 = 0` is `(-5)/(8)`.
Given that the x-intercept of the required line is -3.
`:.` It pass through `(-3,0)`. Hence the required line is
`- 5/8 = (y-0)/(x-(-3))`
`y - 0 = (-5)/(8)(x+3)`
`rArr 8 y = -5x-15 rArr 5x + 8y + 15 = 0`.
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