Home
Class 11
MATHS
If the normal to the given hyperbola at ...

If the normal to the given hyperbola at the point `(c t , c/t)` meets the curve again at `(c t^(prime), c/t^(prime)),` then (A) `t^3t^(prime)=1` (B) `t^3t^(prime)=-1` (C) `t t^(prime)=1` (D) `t t^(prime)=-1`

Answer

Step by step text solution for If the normal to the given hyperbola at the point (c t , c/t) meets the curve again at (c t^(prime), c/t^(prime)), then (A) t^3t^(prime)=1 (B) t^3t^(prime)=-1 (C) t t^(prime)=1 (D) t t^(prime)=-1 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If the normal to the rectangular hyperbola xy=c^(2) at the point t' meets the curve again at t_(1) then t^(3)t_(1), has the value equal to

Show that the normal to the rectangular hyperbola xy = c^(2) at the point t meets the curve again at a point t' such that t^(3)t' = - 1 .

Knowledge Check

  • If the normal to the rectangular hyperbola xy = 4 at the point (2t, (2)/(t_(1))) meets the curve again at (2t_(2), (2)/(t_(2))) , then

    A
    `t_(1)""^(3)t_(2) =1`
    B
    `t_(1)""^(3)t_(2) =-1`
    C
    `t_(2)""^(3)t_(1) =1`
    D
    `t_(1)t_(2)^(3) = -1`

  • If the normal at (ct_(1),c//t_(1)) on the curve xy=c^(2) meets the curve again at the point (ct_(2),c//t_(2)) then

    A
    `t_(2)=-(1)/(t_(1)^(3))`
    B
    `t_(2)=-(1)/(t_(1))`
    C
    `t_(2)=(1)/(t_(1)^(2))`
    D
    none

  • If the normals drawn at the points t_(1) and t_(2) on the parabola meet the parabola again at its point t_(3) , then t_(1)t_(2) equals.

    A
    2
    B
    `-1`
    C
    `-2`
    D
    `t_(3) -(2)/(t_(3))`

    • Similar Questions

    Explore conceptually related problems

    The normal to the rectangular hyperbola xy=4 at the point t_(1), meets the curve again at the point t_(2) Then the value of t_(1)^(2)t_(2) is

    If the normal at point 't' of the curve xy = c^(2) meets the curve again at point 't'_(1) , then prove that t^(3)* t_(1) =- 1 .

    [" 18.If the normal at " t_(1) " on the hyperbola " xy=c^(2) " meets the hyperbola at t_(2) then

    If the normal at (ct_(1),(c)/(t_(1))) on the hyperbola xy=c^(2) cuts the hyperbola again at (ct_(2),(c)/(t_(2))), then t_(1)^(3)t_(2)=

    The normal drawn on the curve xy=12 at point (3t,(4)/(t)) cut the curve again at a point having parameter point t, then prove that t_(1)=-(16)/(9t^(3))

    Home
    Profile