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If e(1) and e(2) are the eccentricites...

If `e_(1)` and `e_(2)` are the eccentricites of `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and `(x^(2))/(b^(2))+(y^(2))/(a^(2))=1` respectively then

A

`e_(1)=e_(2)`

B

`e_(1)e_(2)=1`

C

`(1)/(e_(1)^(2))+(1)/(e_(2)^(2))=1`

D

`(1)/(e_(1))+(1)/(e_(2))=1`

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The correct Answer is:
c
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AAKASH SERIES-ELLIPSE-EXERCISE-I
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  2. The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus r...

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  3. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

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  4. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

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  5. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

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  6. The values that m can take so that the straight line y=4x+m touches th...

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  7. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

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  8. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

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  9. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

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  10. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

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  11. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

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  12. The locus of the point of intersection of the perpendicular tangents t...

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  13. Angle between the tangents drawn from the point (5,4) to the ellipse ...

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  14. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

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  15. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

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  16. The tangent at any point P on the ellipse meets the tangents at the ve...

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  17. The equation of the normal to the ellipse x^(2)+3y^(2)=144 at the posi...

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  18. The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3...

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  19. If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  20. The dist. of a point P on the ellipse (x^(2))/(12)+(y^(2))/(4)=1 from...

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