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The locus of the point of intersection o...

The locus of the point of intersection of two perpendicular tangents to the ellipse `(x^(2))/(9) +(y^(2))/(4)=1` is -

A

`x^(2)+y^(2)=5`

B

`x^(2)+y^(2)=13`

C

`x^(2)+y^(2)=4`

D

`x^(2)+y^(2)=9`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. If the area bounded by the parabola y=x-x^(2) and the line y=mx is (9)...

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  2. The point of intersection of the tangents to the parabola y^(2)=4ax at...

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  3. The locus of the point of intersection of two perpendicular tangents t...

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  4. If the area bounded by the parabola y=2-x^(2) and the line x+y=0 is A...

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  5. The angle between the tangents drawn from the point (1, 4) to the pa...

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  6. The area (in square unit) of the region bounded by the curve y=|x-2|...

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  7. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

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  8. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

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  9. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

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  10. The equation of the curve in which the portion of the tangent between...

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  11. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

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  12. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

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  13. The minimum value of (1)/(2)(7-cos2x) is -

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  14. If g(x)=min(x, x^(2)) where x is a real number then -

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  15. The value of a so that the sum of the squares of the roots of the equ...

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  16. Twenty metres are available to fence a land in the form of a circular...

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  17. Area ( in square unit) of the greatest rectangle that can be inscribe...

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  18. The point on the parabola 2y=x^(2), which is nearest to the point (0,...

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  19. Let f(x) be a differentiable function. If h(x)=(1)/(3) {f(x)}^(3)+{f...

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  20. What is the value of b for which the function f(x)=sinx-bx+c is decre...

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