Let `P` be any point on the ellipse `7x^(2)+16y^(2)=112` S be a focus `L` be the corresponding directrix and `PM` be perpendicular distance from `P` to directrix `L` then `(SP)/(PM)`

The sum of the distances of any point on the ellipse 3x^(2)+4y^(2)=12 from its directrix is

If P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S and S'. Then, SP + S' P equals

If P is any point on the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 whose foci are S and S' perimeter of Delta SPS' is

Let a tangent at a point P to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meets directrix at Q and S be the correspondsfocus then /_PSQ

A point P on the ellipse (x^(2))/(2)+(y^(2))/(1)=1 is at distance of sqrt(2) from its focus s. the ratio of its distance from the directrics of the ellipse is

The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that its distance from the right directrix is the average of its distance from the two foci. Then the x-coordinate of P is

If P be a point on the parabola y^(2)=4ax with focus F. Let Q denote the foot of the perpendicular from P onto the directrix.Then,(tan/_PQF)/(tan/_PFQ) is

A conic has focus (1,0) and corresponding directrix x+y=5. If the eccentricity of the conic is 2, then its equation is

Let A(alpha,0) and B(0,beta) be the points on the line 5x+7y=50 .Let the point divide the line segment "AB" internally in the ratio "7:3" .Let 3x-25=0 be a directrix of the ellipse E:(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the corresponding focus be "S" .If from "S", the perpendicular on the "x" -axis passes through "P" ,then the length of the latus rectum of "E" is equal to,