Home
Class 11
MATHS
Find the locus of point (t+(1)/(t),t-(1)...

Find the locus of point `(t+(1)/(t),t-(1)/(t))` where t is a parameter.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-y^(2)=4`
Promotional Banner

Topper's Solved these Questions

  • LOCUS

    AAKASH SERIES|Exercise EXERCISE-I|45 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LOCUS

    AAKASH SERIES|Exercise EXERCISE-2 (SHORT ANSWER QUSTIONS)|14 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

Similar Questions

Explore conceptually related problems

Find the locus of point (a+bt,b-(a)/(t)) where t is a parameter.

Find the locus of point (ct,(c)/(t)) where t is a parameter.

Find the locus of point (at^(2),2at) where t is a parameter.

The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a hyperbola of eccentricity

Locus of centroid of the triangle whose vertices are (a cos t, a sin t ) , (b sin t - b cos t ) and (1, 0) where t is a parameter, is

Assertion (A): The locus of the point ((e^(2t)+e^(-2t))/(2), (e^(2t)-e^(-2t))/(2)) when 't' is a parameter represents a rectangular hyperbola. Reason (R ) : The eccentricity of a rectangular hyperbola is 2.

If x = (2at)/(1 + t^2) , y = (a(1-t^2) )/(1 + t^2) , where t is a parameter, then a is

Let z = 1 - t + isqrt(t^(2) + t + 2) , where t is a real parameter . The locus of z in the Argand plane is

The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) is