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A tangent having slope of -4/3 to the ...

A tangent having slope of `-4/3` to the ellipse `(x^2)/(18)+(y^2)/(32)=1` intersects the major and minor axes at points `Aa n dB ,` respectively. If `C` is the center of the ellipse, then find area of triangle `A B Cdot`

A

12sq, units

B

48 units

C

64 sq units

D

24 sq.units

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
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  2. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  3. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)...

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  4. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

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  5. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

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  6. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

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  7. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

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  8. if theta and phi are eccentric angles of the ends of a pair of ...

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  9. If A,A' are the vertices S,S' are the foci and Z,Z' are the fe...

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  10. The eccentricity of an ellipse whose pair of a conjugate diameter are ...

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  11. the locus of the point of intersection of tangents to the ellipse...

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  12. The number of maximum normals that can be drawn from any point to an e...

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  13. the sum of the squares of the perpendiculars on any tangent axi...

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  14. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

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  15. If p and q are the segments of a focal chord of an ellipse b^2x^2+a^2y...

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  16. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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  17. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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  18. iger P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2...

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  19. the equation of the circle passing through the foci of the ellip...

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  20. the centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 , i...

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