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)`

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

A straight line with slope 2 and y-intercept 5 touches the circle x^2+y^2+16 x+12 y+c=0 at a point Q . Then the coordinates of Q are (a) (-6,11) (b) (-9,-13) (c) (-10 ,-15) (d) (-6,-7)

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)

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

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 (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

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)

The sides of the rectangle ABCD are parallel to the coordinate axis. If the coordinates of the vertices B and D be (7,3) and (2,6) respectively, find the coordinates of the vertices A and C .

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)