If a circle having the point `(-1, 1)` as its centre touches the straight line `x+2y+9=0`, then the coordinates of the point(s) of contact are : (A) `(7/3, - 17/3)` (B) `(-3, -3)` (C) `(-3, 3)` (D) `(0, 0)`

If a circle, whose centre is (-1,1) touches the straight line x+2y = 12, then the co-ordinates of the point of contact are

Show that the straight line x + y=1 touches the hyperbola 2x ^(2) - 3y ^(2)= 6. Also find the coordinates of the point of contact.

A circle passes through the points ( 2,3) and ( 4,5) . If its centre lies on the line, y-4x+ 3 =0 , then its radius is equal to :

If the line 3 x +4y =sqrt7 touches the ellipse 3x^2 +4y^2 = 1, then the point of contact is

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)

Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 and find the point of contact

If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic points, then k=

The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12 y-1=0.

A line 7x+3y=25 cuts circle x^2+y^2=25 at points A & B . Tangent are drawn to circle at point A and B. These tangents intersect at point P then coordinates of point P are: (3, 7) (2) (7/5, 3/5) (-3,-7) (4) (7, 3)