Let P and Q be two points on the minor axis each at distance `sqrt(a^2-b^2)(a>b)` from the centre of the ellipse and p and q be the lengths of the perpendiculars upon any tangent from P and Q then find the value of `p^2 + q^2.`

P and Q are any two points on the circle x^(2)+y^(2)=4 such that PQ is a diameter.If alpha and beta are the lengths of perpendiculars from P and Q on x+y=1 then the maximum value of alpha beta is

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

P and Q are any two points on the circle x^2+y^2= 4 such that PQ is a diameter. If alpha and beta are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alphabeta is

Perpendiculars are drawn,respectively,from the points P and Q to the chords of contact of the points Q and P with respect to a circle. Prove that the ratio of the length of perpendiculars is equal to the ratio of the distances of the points P and Q from the center of the circles.

Let P be a point on the ellipse (x^(2))/(16) + (y^(2))/(9) = 1 . If the distance of P from centre of the ellipse be equal with the average value of semi major axis and semi minor axis, then the coordinates of P is _

Consider the points A (1,2) and B (2,3) Let P and Q be the points of trisection of the segment joining A and B Find the co-ordinates of P and Q

If 2^(P)+3^(q)=17and2^(P+2)-3^(q+1)=5 , then find the value of p and q.