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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Question

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 

Solution

Correct option is

 

We have, 

      

           

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

Testing

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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  

Q7

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

Q8

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

Q9

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  

Q10

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