If e1 is The Eccentricity Of The Ellipse  and E2 is The Eccentricity Of The Hyperbola Passing Through The Foci Of The Ellipse And e1e2 = 1, Then The Equation Of The Parabola, Is 

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If e1 is the eccentricity of the ellipse  and e2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e1e2 = 1, then the equation of the parabola, is 


Correct option is


We have, 



The coordinates of foci of the ellipse are (0, ±3).



If the chords of contact of tangents from two points (x1y1) and (x2y2) to the hyperbola  are at right angles, then  is equal to 


The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola 


The equation of the chord joining two points (x1y1) and (x2y2) on the rectangular hyperbola xy = c2 is


If the line y = 2x + λ be a tangent to the hyperbola 36x2 – 25y2 = 3600, then λ is equal to     


From any point on the hyperbola  tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to


PQ and RS are two perpendicular chords of the rectangular hyperbola xyc2. If C is the centre of the rectangular hyperbola, then the product of the slopes of CPCQCR and CS equal to  


Let  be two points on the hyperbola . If (hk) is the point of intersection of the normal of P and Q, then k is equal to


If x = 9 is the chord of contact of the hyperbola x2 – y2 = 9, then the equation of the corresponding pair of tangents is


If e and e’ be the eccentricities of two conics S = 0 and S’ = 0 and if e2 +e2 = 3, then both S and S’ can be  


The eccentricity of the conjugate hyperbola of the hyperbola x2 – 3y2 = 1 is