Prove that the area of the triangle whose vertices are `(t ,t-2),(t+2,t+2),` and `(t+3,t)` is independent of `tdot`

Prove that the area of triangle whose vertices are (t,t-2),(t+2,t+2) and t+3,t ) is independent of t.

Prove that the area of a triangle with vertices (t,t-2),(t+2,t+2) and (t+3,t) is independent t .

Prove that the area of a triangle with vertices (t,t-2),(t+2,t+2) and (t+3,t) is independent of t .

Prove that the area of the triangle whose vertices are : (at_(1)^(2),2at_(1)) , (at_(2)^(2),2at_(2)) , (at_(3)^(2),2at_(3)) is a^(2)(t_(1)-t_(2))(t_(2)-t_(3))(t_(3)-t_(1)) .

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

Find the absolute value of parameter t for which the area of the triangle whose vertices the A(-1,1,2);B(1,2,3) and C(t,1,1) is minimum.

Prove that the locus of the 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 circle.

The figure shows two regions in the first quadrant.For curve y=sin x^(2),A(t) is the area under the curve y=sin x^(2) from 0 to t and B(t) is the area of the triangle with vertices O(0,0),P(t,sin t^(2)) and M(t,0) Find lim(t rarr0)(A(t))/(B(t))

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 is a