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Two sides of a rhombus ABCD are parallel to the lines y=x+2 and y=7x+3.If the diagonals of the rhombus intersect at the point (1,2) and the vertex A is on the y-axis,then possible coordinate of A is
a.(0,0)
b.(0,1)
c.(0,3)
d.(0,-1)
answer is (c)
since point A should satisfy any one of the equations as it is the vertex of rhombus. point 0,3 satisfies the equation 7x+3=y
therfore point A is 0,3
answer is c
A is the vertex of the rhombus.
it should satisfy any one of the equations of parallel sides of rhombus,
coordinates 0,3 satisfies the equation y=7x+3
therefore the point A is 0,3
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