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