An equilateral triangle has each of its sides of length `6c mdot` If `(x_1, y_1);(x_2, y_2)&(x_3, y_3)` are its vertices, has the value of the determinant `|x_1y_1 1x_2y_2 1x_3y_3 1|` is equal to: `192` b. `243` c. `486` d. `972`

An equilateral triangle has each of its sides of length 6 cm. If (x_1, y_1);(x_2, y_2)&(x_3, y_3) are its vertices, then the value of the determinant |x_1y_1 1x_2y_2 1x_3y_3 1|^2 is equal to: 192 (b) 243 (c) 486 (d) 972

An equilateral triangle has each of its sides of length 6 cm. If (x_(1),y_(1)), (x_(2),y_(2)) & (x_(3),y_(3)) are the verticles, then the value of the determinant |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|^(2) is equal to :

An equilateral triangle has each of its sides of length 4 cm. If (x_(r),y_(r)) (r=1,2,3) are its vertices the value of |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

If A(x_(1),y_(1)),B(x_(2),y_(2)),C(x_(3),y_(3)) are the vertices of the triangle then show that:'

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)| equals

If the co-ordinates of the vertices of an equilateral triangle with sides of length a are (x_1,y_1), (x_2, y_2), (x_3, y_3), then |[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]|=(3a^4)/4