The line `9x+y-18=0` is the chord of contact of the point `P(h , k)` with respect to the circle `2x^2+2y^2-3x+5y-7=0` , for (a)`((24)/5,-4/5)` (b) `P(3,1)` (c)`P(-3,1)` (d) `(-2/5,(12)/5)`

The point of which the line 9x + y - 28 = 0 is the chord of contact of the circle 2x^2+2y^2-3x+5y-7=0 is

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^2+y^2-6x+2y-54=0 are (a) (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-31=0? (a) (1,-2) (b) (1,4) (c)(1,2) (d) 1,-4)

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

On the ellipse 4x^2+9y^2=1, the points at which the tangents are parallel to the line 8x=9y are (a) (2/5,1/5) (b) (-2/5,1/5) (c) (-2/5,-1/5) (d) (2/5,-1/5)

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

The line 2x+3y=5 , 2x+y=k , 2x-y-1=0

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x-5y=20 to the circle x^2+y^2=9 is : (A) 20(x^2+y^2)-36+45y=0 (B) 20(x^2+y^2)+36-45y=0 (C) 20(x^2+y^2)-20x+45y=0 (D) 20(x^2+y^2)+20x-45y=0