Home
Class 11
MATHS
IF t is a parameter, then x = a(t + (1)/...

IF t is a parameter, then `x = a(t + (1)/(t))` and `y = b(t - (1)/(t))` represents

A

An ellipse

B

A circle

C

A pair of straight lines

D

A hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If t is a parameter, then x=a(t+(1)/(t)) , y=b(t-(1)/(t)) represents

The equation x =1/2 (t+ (1)/(t)), y = 1/2 (t - 1/t), t ne 0 represents

x = t + (1)/(t), y = t - 1/t

The parametre equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(2)) represents a circle whose radius is

If t is a parameter and x = t + 1/t , y = t - 1/t , " then " (d^2 y)/(dx^2) =

If x=a(t+(1)/(t)) and y=a(t-(1)/(t)), prove that (dy)/(dx)=(x)/(y)

If x=(t+(1)/(t)),y=(t-(1)/(t)) , then (dy)/(dx)=?

If x = e^(t) sin t and y = e^(t) cos t, t is a parameter , then the value of (d^(2) x)/( dy^(2)) + (d^(2) y)/(dx^(2)) at t = 0 , is :

Which of the following equations in parametric form can represent a hyperbolic profile, where t is a parameter: (A)x=(a)/(2)(t+(1)/(t))&y=(b)/(2)(t-(1)/(t))(B)t(x)/(a)-(y)/(b)+t=0&(x)/(a)+t(y)/(b)-1=0(C)x=e^(t)+e^(-t)&y=e^(t)-e^(-t)(D)x^(2)-6=2cos t&y^(2)+2=4cos^((t)/(2))