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A point an the parabola y^(2)=18x at whi...

A point an the parabola `y^(2)=18x` at which the ordinate increases at twice the rate of the abscissa is :

A

(2,4)

B

(2,-4)

C

`(-(9)/(8), (9)/(2))`

D

`((9)/(8), (9)/(2))`

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The correct Answer is:
D
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HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
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  2. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

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  3. A point an the parabola y^(2)=18x at which the ordinate increases at t...

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  4. If a ne 0 and the line 2bx+3cy+4d=0 passes through the points of inter...

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  5. Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locu...

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  6. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

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  7. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

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  8. If the line x -1=0 is the directrix of the parabola y^(2)-kx+8=0 then...

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  9. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

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  10. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

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  11. The locus of the mid point of the line segment joining the focus to a...

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  12. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

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  13. Angle between tangents drawn from the point (1,4) to the parabola y^...

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  14. If x+y=k is normal to y^(2)=12x, then k is :

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  15. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

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  16. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

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  17. Focus of the parabola y^(2)=16 x is at

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  18. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

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  19. The equation of the common tangents other than the x -axis to the para...

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  20. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

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