Tangents are drawn to the ellipse `(x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a+ b ` at the points where it is cut by the line `(x)/(a^(2)) cos theta - ( y)/(b^(2)) sin theta =1 ` , then the point of intersection of Tangents

Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is cut by the line 4x+3y-9=0 then the point of intersection of tangents is

If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtb) then find its coresponding point

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points where it intersects the circle x^(2) + y ^(2) - 5 x + 3y - 2 = 0 then the coordinates of the points of intersection of those tangents are

Assertion (A) If the tangent and normal to the ellipse 9x^(2)+16y^(2)=144 at the point P(pi/3) on it meet the major axis in Q and R respectively, then QR=(57)/(8) . Reason (R) If the tangent and normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))= at the point P(theta) on it meet the major axis in Q and R respectively, then QR=|(a^(2)sin^(2)theta-b^(2)cos^(2)theta)/(a cos theta)| The correct answer is

Find the equations of the tangent drawn to the ellipse (x^(2))/(3) + y^(2) =1 from the point (2, -1 )

If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y)/(b) cos theta =1 then

Find the equations of tangent and normal to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (a cos theta, b sin theta)

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points of intersection with the circle x^(2) + y^(2) -5x + 3y -2 =0 , then the ordinate of the point of intersection of these tangents is