The tangent at point P on an ellipse intersects the major axis at T and N is the food of the perpendicular from P to the same axis. Show that the circle drawn on NT diameter interesects the auxiliary cicrle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The point P (5, 3) was reflected in the origin to get the image P'. If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.

The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cuts the minor axis in Q and PR is drawn perpendicular to the minor axis. If C is the centre of the ellipse, then CQ*CR =

L is the foot of perpendicular drawn from a point P(3,4,5) on x-axis. The coordinates of L are

The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find: the ratio PR : RQ

The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find: the co-ordinates of R.

S is the point (0,4) and M is the foot of the perpendicular drawn from a point P to the y -axis. If P moves such that the distance PS and PM remain equal find the locus of P .

The coordinates of the foot of perpendicular drawn from the point P(-2,5,4) on the x-axis are

The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find: the area of the quadrilateral PMNQ.