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

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

PSQ is a focal chord of the parabola y^2=8x. If\ S P=6, then write SQ.

If S\ a n d\ S ' are two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1\ a n d\ B is and end of the minor axis such that triangle B S S ' is equilateral, then write the eccentricity of the ellipse.

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

Let S and S\' be the foci of the ellipse x^2/9 + y^2/4 = 1 and P and Q be points on the ellipse such that PS.PS\' is maximum and QS.QS \' is maximum. Statement 1 : PQ=4 . Statement 2 : If P is a point on an ellipse and S\' and S are its foci, then PS + PS\' is constant.

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=16, then the length SQ is

If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus, then find the ratio of C S to the semi-major axis.

If Sa n dS ' are the foci, C is the center, and P is a point on a rectangular hyperbola, show that S PxxS^(prime)P=(C P)^2dot

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) 2 (b) 1 (c) 8/9 (d) 16/9

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