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Point (2, k) is the exterior point of th...

Point (2, k) is the exterior point of the circles `x^(2) + y^(2) + x - 2y - 14 = 0 and x^(2) + y^(2) = 13`, then k lies in ……… interval. '

A

`(-3, - 2) cup (3, 4)`

B

`(-3, 4)

C

`(-oo, -3) cup (4, oo)`

D

`(-oo, -2) cup (3, oo)`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK BASED MCQS
  1. If the circles x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y + 9 =...

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  2. ……..of the following is the equation of circle passes from (-1,-2) and...

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  3. Point (2, k) is the exterior point of the circles x^(2) + y^(2) + x - ...

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  4. AA t in R, …….is the point lies on parabola x^(2) = 4ay.

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  5. Vertex of the parabola (y - 2)^(2) = 16 (x - 1) is ……..

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  6. Line 2x - 3y + 8 = 0 intersects parabola y^(2) = 8x of points P and Q ...

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  7. Line y = mx + 3 is tangent to parabola 3y^(2) = 2x then m = ……..

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  8. The area of the region bounded by the parabola y^2 =4ax and its ...

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  9. Find the equation of a line parallel to X- axis and passing through th...

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  10. M is the foot of perpendicular from point P of the parabola y^(2) = 4...

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  11. Equation of parabola with focus (-3, 0) and directrix x + 5 = 0 is …….

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  12. Focus and directrix of parabola x^(2) = - 8ay are …….., …….. Respectiv...

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  13. Line l : 2x - 3y + 8 = 0 intersect parabola y^(2) = 8x in point P and...

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  14. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

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  15. If for an ellipse length of minor axis and distance between two focii ...

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  16. Length of latus rectum of ellipse 2x^(2)+81y^(2)=162

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  17. Length of latus rectum of ellipse 4x^2+9y^2=1 is ............ .

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  18. Eccentricity of ellipse is ..........if length of latus rectum is half...

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  19. Radius of the circle with centre (0,3) and passes from focus of ellip...

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  20. …….is the equation of ellipse with eccentricity e = (2)/(3). Length of...

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