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Find the point on the axis of the parabo...

Find the point on the axis of the parabola `3y^2+4y-6x+8 =0` from when three distinct normals can be drawn.

A

`(alpha, 1), alpha gt 2`

B

`(-1, alpha) , alpha gt 2`

C

`(alpha, -1), alpha gt 1`

D

none of these

Text Solution

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The correct Answer is:
C
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
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  2. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  3. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

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  4. If from a point on the line (x -1) =0, tangents are feawn to the parab...

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  5. The condition that a straight line with slope m will be normal to para...

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  6. The vertex V of the parabola y ^(2) = 4ax and two points on the parabo...

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  7. If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...

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  8. The area between the latusne latus rectum and tangents drawn at the en...

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  9. If SK be the perpendicular from the focus S on the tangent at any poin...

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  11. If eccentric angle of a point lying in the first quadrant on the ellip...

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  15. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  16. If y = 2x + c neither cuts the circle (x - 2)^2 + (y - 3)^2 = 4 nor th...

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  17. If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, ...

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  18. The locus of the point of inter section of perpendicular chords passin...

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  19. If normal at any point P to the ellipse x^2/a^2+y^2/b^2=1(a > b) meets...

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