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If the tangent at a point on the ellipse...

If the tangent at a point on the ellipse `x^2/27+y^2/3=1` meets the coordinate axes at `A` and `B,` and the origin, then the minimum area (in sq. units) of the triangle `OAB` is:

A

`3sqrt3`

B

`9/2`

C

9

D

`9/sqrt3`

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Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
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  2. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

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  3. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

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  4. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

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  5. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

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  6. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

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  7. The number of integral values of lambda for which the equation x^2+y^2...

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  8. The cable of a uniformly loaded suspension bridge hangs in the form...

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  9. If from any point P, tangents PT, PT' are drawn to two given circles w...

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  10. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

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  11. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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  12. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

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  13. A rod AB of length 15 cm rests in between two coordinate axes in su...

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  14. Find the area of the triangle formed by the lines joining the vertex o...

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  15. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

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  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

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  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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  18. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

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  19. The equation of the conic with focus at (1,-1), directrix along x -y +...

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  20. The equation of one of the common tangent to the parabola y^(2) = 8x a...

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  21. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

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