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The point on the curve 3y = 6x - 5x^(3) ...

The point on the curve `3y = 6x - 5x^(3)` the normal at which passes through the origin is

A

(1, 1/3)

B

(1/3, 1)

C

(2, -28/3)

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Distance of the normal to the curve x^(2) = 4y which passes through the point (1,2) is

    A
    3
    B
    `(3)/(sqrt(2))`
    C
    `2 sqrt(2)`
    D
    4

  • The point on the curve y=5 + x-x^(2) at which the normal makes equal intercepts is a) (1,5) b) (0,-1) c) (-1,3) d) (0,5)

    A
    `(1,5)`
    B
    `(0,-1)`
    C
    `(-1,3)`
    D
    `(0,5)`

  • The equation of the chord of the circle x^(2) + y^(2) - 3 x - 4y - 4 = 0 , which passes through the origin such that the origin divides it in the ratio 4 : 1 is

    A
    x = 0
    B
    `24 x + 7y = 0 `
    C
    ` 7 x + 24 y = 0 `
    D
    ` 7 x - 24 y = 0 `

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