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Question

One vertex of a square ABCD is A(−1,1) and the equation of diagonal BD is 3x+y−8=0. Then

A
C(7,1)
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B
C(5,3)
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C
Area of square=40 sq. units
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D
Area of square=20 sq. units
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Solution

The correct option is D Area of square=20 sq. units

Equation of BD is 3x+y8=0

In a square, the diagonals bisect each other perpendicularly. So,
C(h,k) is the image of A with respect to line BD.
h+13=k11=2(3+18)10(h,k)=(5,3)AC=36+4=210

Area of square=12(AC)2=20 sq. units

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