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

Point of intersection of tangents at P(alpha) and Q(B eta)

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.

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

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

The locus of the point of intersection of the lines x cosalpha + y sin alpha= p and x sinalpha-y cos alpha= q , alpha is a variable will be

The coordinates of the point of intersection of tangents drawn to y^(2)=4ax at the points where it is cut by the line x cos alpha+y sin alpha-p=0 is