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Line y = mx + 3 is tangent to parabola ...

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

A

`-(1)/(18)`

B

18

C

`(1)/(18)`

D

None of these

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK BASED MCQS
  1. Vertex of the parabola (y - 2)^(2) = 16 (x - 1) is ……..

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Eccentricity of ellipse (x^(2))/(169) + (y^(2))/(25) = 1 and (x^(2))/(...

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  18. If equation (x^(2))/(2-r) + (y^(2))/(r-5) + 1 = 0 represents ellipse t...

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  19. ……..of the following is the equation of ellipse with focus (-1, 1) ecc...

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  20. If y = mx - 1 is tangent to the hyberbola (x^(2))/(16) - (y^(2))/(9) ...

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