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Inclination of the normal to the curve x...

Inclination of the normal to the curve `xy=15` at the point `(3,5)` is

A

`tan^-1(15/9)`

B

`-tan^-1(9/15)`

C

`tan^-1(9/15)`

D

`-tan^-1(15/9)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If the inclination of the normal to the curve y=f(x) at the point (5,6) makes an anlge of (2pi)/(3), then f'(5)=

    A
    `sqrt(3)`
    B
    `-sqrt(3)`
    C
    `(-1)/(sqrt(3))`
    D
    `(1)/(sqrt(3))`

  • Equation of the tangent and normal to the curve xy=c^(2) at the point x=c on it are respectively

    A
    `x-y=2c, x=y`
    B
    `x+y+2c=0, x=y`
    C
    `x+y=2c, x=y`
    D
    `x-y+2c=0, x+y=0`

  • Equations of the tangent and normal to the curve x^(5)+ y^(5)=2xy at the point (2,1) is

    A
    `4x+67y=134`
    B
    `4x-67y=138`
    C
    `x=2`
    D
    `67x+4y=75`

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