[" The tangent to the parabola "],[y=x^(2)-2x+8" at "P(2,8)" touches the "],[" circle "x^(2)+y^(2)+18x+14y+lambda=0" at "],[Q" .The coordinates of point "Q" are "]

If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also touches the circle x^(2) + y^(2) + 16x + 12y + c =0 , then the coordinates of the point of contact are-

Tangent to the curve y=x^(2)+6 at a point P(1, 7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q. Then the coordinates of Q are

If tangent to the parabola y^2=8x at (2,-4) also touches the circle x^2+y^2=a . then find the value of a

The tangent to the circle x^(2)+y^(2)=5 at (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0. Find the coordinates of the corresponding point of contact.

The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0 at the point

Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q. Show that Q=(-6,-7)

The tangent at the point P(x_1, y_1) to the parabola y^2 = 4 a x meets the parabola y^2 = 4 a (x + b) at Q and R. the coordinates of the mid-point of QR are

The line 4y-3x+lambda=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 then lambda=