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The minimum area of the triangle formed ...

The minimum area of the triangle formed by the tangent to the ellipse `(x^(2))/(16) + (y^(2))/(9) =1` and the co-ordinate axes is

A

16

B

9

C

12

D

144

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
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  5. If the focal distance of an end of minor axis of any ellipse, ( whose...

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  6. Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from wh...

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  7. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

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  9. P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F(1), ...

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  10. The curve described parametrically by x = t^2 + t +1, y = t^2 - t + 1 ...

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  11. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  12. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

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  13. The equation of the hyperbola, whose foci are (6, 4) and (-4, 4) and e...

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  14. The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12, whi...

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  15. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

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  16. The equation of the hyperbola with centre at (0, 0) and co-ordinate ...

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  17. The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and ...

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  18. The locus a point P(alpha,beta) moving under the condition that the li...

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  19. The locus of the middle points of the chords of hyperbola (x^(2))/(9) ...

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  20. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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