Q.
One diagonal of a square is 3x−4y+8=0 and one vertex is −1,1, then the area of square is
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a
150sq. units
b
125sq. units
c
350sq. units
d
225sq. units
answer is D.
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Detailed Solution
Let ABCD be square having vertex A−1,1One diagonal is 3x−4y+8=0; clearly, it is BD.Let O be centre of the square.∴ OA=OB=−3−4+85=15Area of square =4×ΔAOB=412×OA×OB=412×15×15=225sq.units
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