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?

Let AB be the chord 4x−3y+5=0 of the circle x2+y2−2x+4y−20=0.If C=(7,1) then the area of triangle ABC is

If A = {x, y) | x2 + y2 = 25} and B = {x, y) | x 2 + 9y2 = 144} then BA ∩ contains :

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

If the normal at the end points of a variable chord PQ of parabola y2 – 4y – 2x = 0 are perpendicular, then the tangent at P & Q will intersect at