If `Sa n dS '` are two foci of ellipse `16 x^2+25 y^2=400a n dP S Q` is a focal chord such that `S P=16 ,` then find `S^(prime)Qdot`

The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

The vertices of the ellipse 16x^(2) + 25y^(2) = 400 are …………

The eccentricity of the ellipse 16x^(2)+25y^(2)=400 is ……………… .

If Sa n dS ' ' are the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 , and P is any point on it, then the range of values of S PdotS ' P is (a) 9lt=f(theta)lt=16 (b) 9lt=f(theta)lt=25 (c) 16lt=f(theta)lt=25 (d) 1lt=f(theta)lt=16

If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8, then find the length of SQ. is (a) 1 (b) 2 (c) 3 (d) 4

If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l_1, then find B Sdot

If the normal at P(2,(3sqrt(3))/2) meets the major axis of ellipse (x^2)/(16)+(y^2)/9=1 at Q , and S and S ' are the foci of the given ellipse, then find the ratio S Q : S^(prime)Qdot

The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If a circle described on S S^(prime) as diameter intersects the ellipse at real and distinct points, then the eccentricity e of the ellipse satisfies (a) c=1/(sqrt(2)) (b) e in (1/(sqrt(2)),1) (c) e in (0,1/(sqrt(2))) (d) none of these

If from a point P , tangents P Qa n dP R are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot