Point of intersection of tangents at points `P(alpha)` and `Q(beta)`

Point of intersection of tangents at P(alpha) and Q(Beta)

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

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

Point of intersection of tangent at any Two points on the Parabola

A variable tangent to the circle x^(2)+y^(2)=1 intersects the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at point P and Q. The lous of the point of the intersection of tangents to the ellipse at P and Q is another ellipse. Then find its eccentricity.

If y_(1),y_(2) are the ordinates of two points P and Q on the parabola and y_(3) is the ordinate of the intersection of tangents at P and Q, then

Point of intersection of normal at P(t1) and Q(t2)

If the tangent to the ellipse x^(2)+2y^(2)=1 at point P((1)/(sqrt(2)),(1)/(2)) meets the auxiliary circle at point R and Q, then find the points of intersection of tangents to the circle at Q and R.

The AM of y coordinates of P and Q is the y coordinate of the point of intersection of tangents at P and parabola.