If `alpha-beta=` constant, then the locus of the point of intersection of tangents at `P(acosalpha,bsinalpha)` and `Q(acosbeta,bsinbeta)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is: (a) a circle (b) a straight line (c) an ellipse (d) a parabola

Find the condition that the straight line x cos alpha+ y sin alpha=p is a tangent to the : ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Obtain the locus of the point of intersection of the tangent to the circle x^2 + y^2 = a^2 which include an angle alpha .

The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 at the point (a cos theta, b sin theta) - is

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2pi)/3dot

Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and a concentric circle of radius rdot

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

If a tangent to the parabola y^2 = 4ax intersects the x^2/a^2+y^2/b^2= 1 at A and B , then the locus of the point of intersection of tangents at A and B to the ellipse is

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is (a) straight line (b) a hyperbola (c) an ellipse (d) a circle

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.