If  y  =  mx + c  is common tangent to  x225 + y24  =  1, x2 + y2  =  16  and  y2  =  4ax(a  >  0) , then which of the following can be TRUE?

If  y  =  mx + c  is common tangent to  x225 + y24  =  1, x2 + y2  =  16  and  y2  =  4ax(a  >  0) , then which of the following can be TRUE?focus of the parabola is at  (8√73, 0)  √3(m + c)  =  2 + 4√7  √3(m + c)  =  −2 − 4√7 Latus rectum of the parabola is  2√73

The tangent to the curve C: y=4x^2 at the point A is parallel to the straight line L: 2x-y+24=0. Find the equation of the tangent to C at A.

(a) Find the slope m of the tangent to the curve y = 5/x at the point a where x = a > 0.m = (b) Find equations of the tangent lines at the points (1, 5) and 4, 52.y(x) =  (at the point (1, 5))y(x) = at the point 4, 52(c) Graph the curve and both tangents on a common screen.

If m is the slope of the common tangent of the parabola y2 = 16x and the circle x2 + y2 = 8, then m2 is equal to :

Given that the line y = mx + c is a tangent to the curve y = fx
, show that 4c = m2 − 12m + 16.