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The lengths of the sub-tangent , ordinat...

The lengths of the sub-tangent , ordinate and the sub-normal are in

A

Arithmetico geometric progression

B

A.P

C

H.P

D

G.P

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Knowledge Check

  • If the length of the sub-tanget at any point to the curve xy^(n) = a is proportional to the abscissa, then 'n' is

    A
    any non-zero real number
    B
    2
    C
    `-2`
    D
    1

  • For the curve 4x^(5)=5y^(4) , the ratio of the cube of the sub-tangent at a point on the curve to the square of the sub-normal at the same point is :

    A
    `((5)/(4))^(4)`
    B
    `((4)/(5))^(4)`
    C
    `y((5)/(4))^(4)`
    D
    `x((4)/(5))^(5)`

  • The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at any point (x_(1), y_(1)) on it is

    A
    `(m x_(1))/(n)`
    B
    `-(n y_(1))/(m)`
    C
    `-(my_(1))/(n)`
    D
    `-(n x_(1))/(m)`

    • Similar Questions

    Explore conceptually related problems

    The length of a tangent from a point A at distance 5cm from the centre of the circle is 4cm.Find the radius of the circle.

    The tangent and the normal drawn to the curve y=x^(2)-x+4 at P(1,4) cut the X-axis at A and B respectively. If the length of the substangent drawn to the curve at P is equal to the length of the subnormal, then the area of the triangle PAB in sq. units is

    The length of the tangent drawn to a circle of radius 3cm from 5cm away from the centre is

    The slopes of the tangent normal at (0.1 ) for the curve y= sin sin x = e^(x) are respectively

    The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^(x) are respectively :

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