The vertices `A` and `D` of square `A B C D` lie on the positive sides of `x and y` axis , respectively. If the vertex `C` is the point `(12 ,17)` , then the coordinates of vertex `B` are (a)`(14 ,16)` (b)` (15, 3)` (c)`(17 ,5)` (d) `(17 ,12)`

ABCD is square in which A lies on positive y-axis and B lies on the positive x-axis. If D is the point (12, 17), then co-ordinate of C is

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A can be (1,6) (b) (-1/2,5) (5/6,6) (d) none of these

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))

Orthocenter and circumcenter of a Delta A B C are (a , b)a n d(c , d) , respectively. If the coordinates of the vertex A are (x_1,y_1), then find the coordinates of the middle point of B Cdot

The area of triangle A B C is 20c m^2dot The coordinates of vertex A are -5,0) and those of B are (3,0)dot The vertex C lies on the line x-y=2 . The coordinates of C are (a) (5,3) (b) (-3,-5) (-5,-7) (d) (7,5)

Tentacles of Hydra appear to be (a) 12 (b) 15 (c) 8 (d) 14

Orthocenter and circumcenter of a "triangle"A B C are (a , b)a n d(c , d) , respectively. If the coordinates of the vertex A are (x_1,y_1), then find the coordinates of the middle point of B Cdot

The centroid of a triangle ABC is at the point (1,1,1). If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively, find the coordinates of the point C.

A square has one vertex at the vertex of the parabola y^2=4a x and the diagonal through the vertex lies along the axis of the parabola. If the ends of the other diagonal lie on the parabola, the coordinates of the vertices of the square are (a) (4a ,4a) (b) (4a ,-4a) (c) (0,0) (d) (8a ,0)

Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y^2+16x+12y+c=0 at a point Q , then the coordinates of Q are (A) (-6,-11) (B) (-9,-13) (C) (-10,-15) (D) (-6,-7)