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

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

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

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

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

PQ is a diameter. The tangent drawn at the point R, intersects the two tangents drawn at the points P and Q at the points A and B respectively. Prove that angle AOB is a right angle.

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 point of intersection of tangents at P and Q, then

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 point of intersection of tangents at P and Q then