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 `x y=1` (b) `x+y=2` `x^2-y^2=4` (d) `x^2-y^2=2`

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

The coordinate of a moving point at time t are given by x=a(2t+sin2t),y=a(1-cos2t) Prove that acceleration is constant.

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

If the co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an

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: (3x-1)^(2)+(3y)^(2)=a^(2)-b^(2)(3x-1)^(2)+(3y)^(2)=a^(2)+b^(2)(3x+1)^(2)+(3y)^(2)=a^(2)+b^(2)(3x+1)^(2)+(3y)^(2)=a^(2)-b^(2)

Locus of centroid of the triangle whose vertices are (a cos t ,a s in t ), (b s in t ,-b cos t ) and (1, 0), where t is a parameter, is (3x-1)^2+(3y)^2=a^2-b^2 (3x-1)^2+(3y)^2=a^2+b^2 (3x+1)^2+(3y)^2=a^2+b^2 (3x+1)^2+(3y)^2=a^2-b^2

The equation x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t in R, represents