Home
Class 12
MATHS
The locus of a point represent by x=(a...

The locus of a point represent by
`x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-1)/(t))`, where `t=in R-{0}`, is

A

an ellipse

B

a circle

C

a pair of lines

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of a point reprersented by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-1)/(1)), where t in R-{0}, is x^(2)+y^(2)=a^(2)(b)x^(2)-y^(2)=a^(2)x+y=a(d)x-y=a

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

If the locus of the point ((a)/(2)(t+(1)/(t)),(a)/(2)(t-(1)/(t))) represents a conic,then distance between the directrices is

Show that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.

Show that the locus represented by x=(1)/(2)a(t+(1)/(t)),y=(1)/(2)a(t-(1)/(t)) is a rectangular hyperbola.

The locus of the point x=(t^(2)-1)/(t^(2)+1),y=(2t)/(t^(2)+1)

The locus of the point represented by x = 3 (cos t + sin t ) , y = 2 ( cos t - sin t ) is

The locus of the moving point whose coordinates are given by (e^(t)+e^(-t),e^(t)-e^(-t)) where t is a parameter,is xy=1 (b) x+y=2x^(2)-y^(2)=4(d)x^(2)-y^(2)=2

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