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`

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 (acost, asint), (bsint,-bcost) and (1,0) where t is a parameter is : (A) (3x+1)^2 + (3y)^2 = a^2 - b^2 (B) (3x-1)^2 + (3y)^2 = a^2 - b^2 (C) (3x-1)^2 + (3y)^2 = a^2 + b^2 (D) (3x+1)^2 + (3y)^2 = a^2 + b^2

If the area of the triangle whose vertices are A(-1,1,2), B(1,2,3) and C(t,1,1) is minimum, then the absolute value of parameter t is

x=3sin t-2 sin ^3t, y=3 cos t -2cos^3t

The centroid of the triangle with vertices at A(x_(1),y_(1)),B(x_(2),y_(2)),c(x_(3),y_(3)) 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

x=a sin 2t(1+cccos 2t ),y=b cos2 t (1-cos 2t) find dy/dx

The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is 1//2 (b) 0 (c) -2 (d) oo

Find the equation of tangent to the curve given by x=a sin^(3)t,y=b cos^(3)t...(1) at a point where t=(pi)/(2)

A curve in the xy-plane is parametrically given by x=t+t^(3) and y=t^(2), where t in R is the parameter.For what value (s) of t is (dy)/(dx)=(1)/(2)?(1)/(3) b.2 c.3 d.1