A variable line whose slope is `-2` cuts x and y-axes respectively at points A and C. If Rhombus ABCD is completed such that the vertex B lies on the line `y =x` then the locus of the vertex D is

A variable line whose slope is -2 cuts the x and y axes respectively at points A ans rhombus ABCD is completed such that vertex B lies on the line y=x. Find the locus of vertex D.

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

Two vertices of a triangle are (1,3) and (4,7). The orthocentre lies on the line x+y=3 The locus of the third vertex is

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1,3) and one vertex, A of the rhombus lies on the line y=2x.Then the coordinates of vertex A are.

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a)(8/5,(16)/5) (b) (7/(15),(14)/(15)) (c)(6/5,(12)/5) (d) (4/(15),8/(15))

If one vertex of an equilateral triangle of side a lies at the origin and the other lies on the line x=sqrt(3)y then the third vertex is