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Let the eccentricity of the hyperbola (x...

Let the eccentricity of the hyperbola `(x ^(2))/(a ^(2))- (y ^(3))/(b ^(2)) =1` be reciprocal to that of the ellipse `x ^(2) + 9y ^(2) =9,` then the ratio `a ^(2) : b ^(2)` equals

A

`8:1`

B

`1:8`

C

`9:1`

D

`1:9`

Text Solution

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The correct Answer is:
A
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MTG-WBJEE-CONIC SECTIONS-WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)
  1. Number of intersecting points of the coincs 4x^2+9y^2=1 and 4x^2+y^2=4...

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  2. Then equation of auxiliary circle of the ellipse 16x^2 + 25y^2 +32x-10...

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  3. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  4. The line y=x+lambda is a tangent to an ellipse 2x^2+3y^2=1 then

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  5. The locus of the point of intersection of the straight lines x/a+y/b=k...

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  6. Let P be the foot of the perpendicular from focus S of hyperbola x^2/a...

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  7. B is extermity of the minor axis of an elipse whose foci are S and S'....

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  8. The axis of the parabola x^2+2x y+y^2-5x+5y-5=0 is

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  9. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

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  10. The focus of the conic x^(2)-6x+4y+1=0 is

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  11. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

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  12. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

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  13. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  14. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

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  15. Let P(4,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

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  16. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1; (0<alpha<pi/4)

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  17. S and T are foci of an ellipse and B is an end of the minor a...

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  18. The equation of th directrices of the hyperbola 3x^(2)-3y^(2)-18x+12y+...

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  19. P is the extremity of the latuscrectum of ellipse 3x^(2)+4y^(2)=48 in ...

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  20. The length of conjugate axis of a hyperbola is greater than the length...

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