Home
Class 12
MATHS
P is any point on the ellipise (x^(2))/(...

P is any point on the ellipise `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and S and S' are its foci, then maximum value of the angle SPS' is

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`"tan"^(-1)(2be)/(a)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let P be a variable point on the ellipse (x^(2))/(25)+(y^(2))/(16)=1 with foci at S and S'. Then find the maximum area of the triangle SPS'

If P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 , S and S ’ are the foci of the ellipse then find SP + S^1P

If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci S a n d S ' and eccentricity e , then prove that the area of Δ S P S ' is be sqrt(a^2-alpha^2)

P is any point lying on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(agtb) whose foci are S and S'. If anglePSS'=alpha and anglePS'S=beta , then the value of tan.(alpha)/(2)tan.(beta)/(2) is

If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose foci are S and S' then the value of PS + PS' is

Let P any point on ellipse 3x^(2)+4y^(2)=12 . If S and S'' are its foci then find the the locus of the centroid of trianle PSS''

If P is a point on the ellipse (x^(2))/16+(y^(2))/25=1 whose foci are S and S', then PS+PS'=8.

P is any point on the auxililary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and Q is its corresponding point on the ellipse. Find the locus of the point which divides PQ in the ratio of 1:2 .

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is