Home
Class 11
MATHS
A line with gradient 2 is passing throug...

A line with gradient 2 is passing through the point `P(1, 7)` and touches the circle `x^2+ y^2 + 16x + 12y +c=0` at the point Q. If (a, b) are the coordinates of the point Q, then find the value of `(7a + 7b + c).`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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-

If a circle C passing through the point (4,0) touches the circle x^(2)+y^(2)+4x-6y=12 externally at the point (1,-1) ,then the radius of C is

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)

If tangent to the curve x^(2) = y - 6 at point (1,7) touches the circle x^(2) + y^(2) + 16x + 12y + c = 0 then value of c is ………

A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) which also touches the circle x^(2)+ty^(2)+16x+12y+c=0 at