Question 11

ABCD is a parallelogram whose diagonals are parallel to the lines $$2y—x—5=0$$ and $$y+2x—7=0$$ respectively.
Then ABCDis -

Solution

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The slope of any line parallel to 2y - x - 5 = 0 would be 1/2
The slope of any line parallel to y + 2x - 7 = 0 would be -2

Product of slopes = -1 which shows that these 2 lines would be perpendicular i.e. we have a parallelogram whose diagonals are perpendicular to each other. This means that the quadrilateral is atleast a rhombus and it would be a square if we can get info that all sides are equal to each other. 

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