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 DArea of square=20 sq. units
Equation of BD is 3x+y−8=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=k−11=−2(−3+1−8)10⇒(h,k)=(5,3)⇒AC=√36+4=2√10