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

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 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

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)a n dC(t,1,1) is minimum.

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)a n dC(t,1,1) is minimum.

Find the area of the triangle whose vertices are (6,\ 3),\ (-3,\ 5) and (4,\ -2) (ii) (a t1 2,\ 2a t_1),\ (a t2 2,\ 2a t_2) and (a t3 2,\ 2a t_3) (iii) (a ,\ c+a),\ (a ,\ c) and (-a ,\ c-a)

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

Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5 at t=2 .

If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t^2),(2a)/t) respectively and S is the point (a,0). Show that 1/(S P)+1/(s Q) is independent of t.

Show that the area formed by the normals to y^2=4ax at the points t_1,t_2,t_3 is