" (iii) "-3,-(1)/(2),2,...;t_(11)

The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=t^(2)+t+1;t in R, is (1,1) (b) (2,2)((1)/(2),(1)/(2))(3)(3,3)

Let A= [{:(( sqrt(3))/(2),(1)/(2) ),( -(1)/(2) ,(sqrt( 3))/( 2)) :}],B= [{:( 1,1),(0,1):}]and C = ABA^(T) , "then "A^(T) C^(3)A is equal to

Let A= [{:(( sqrt(3))/(2),(1)/(2) ),( -(1)/(2) ,(sqrt( 3))/( 2)) :}],B= [{:( 1,1),(0,1):}]and C = ABA^(T) , "then "A^(T) C^(3)A is equal to

If t_(1), t_(2) and t_(3) are distinct, the points (t_(1), 2at_(1) +at_(1)^(3)), (t_(2), 2at_(2)+at_(2)^(3)) and (t_(3), 2at_(3)+at_(3)^(3)) are collinear if

If t_(1), t_(2) and t_(3) are distinct, then the points: (t_(1), 2at_(1), at_(1)^(3)), (t_(2), 2at_(2)+at_(2)^(3)) and (t_(3), 2at_(3)+at_(3)^(3)) are colinear if :

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)) .

Image of (1, 2, 3) w.r.t a plane is (-7/3,-4/3,-1/3) then which of the following points lie on the plane (A) (-1,1,-1) (B) (-1,-1,1) (C) (-1,-1,1) (D) (1,1,-1)

Which of the following are identity relations on set A={1,2,3} R_(1)={(1,1),(2,2)},R_(2)={(1,1),(2,2),(3,3),(1,3)},R_(3)={(1,1),(2,2),(3,3)}