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Find the family of curves, the subtangen...

Find the family of curves, the subtangent at any point of which is the arithmetic mean of the co-ordinate point of tangency.

A

`(x-y)^(2) = cy`

B

`(y-x)^(2) = cx`

C

`(x-y)^(2) = cxy`

D

`(x-y)^(2) = cx^(2)y^(2)`

Text Solution

Verified by Experts

`(x-y)^(2) = cy`
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Knowledge Check

  • The equation of the curve such that the subtangent at any point of the curve is two times the abscissa of the point and curve passes through point (1,2) is:

    A
    `y^(2) = x + 3`
    B
    `y = x^(2)`
    C
    `y^(2) = 4x`
    D
    `y = 2x^(2)`

  • The subtangent at any point on the curve x^(m)y^(n)=a^(m+n) varies as

    A
    `("abscissae")^(2)`
    B
    `("ordinate")^(2)`
    C
    abscissa
    D
    ordinate