Area of the triangle formed by `(x_1, y_1), (x_2,y_2), (3x_2 - 2x_1,3y_2 - 2y_1)` (in sq. units) is

The area of the region bounded by the curves y=x^(3), y=(1)/(x), x=2 and x - axis (in sq. units) is

Area of the triangle formed by the lines x^(2)-3xy+y^(2)=0 and x+y+1=0

Write the formula for the area of the triangle having its vertices at (x_1,\ y_1),\ \ (x_2,\ y_2) and (x_3,\ y_3) .

Prove that the area of the triangle formed by the tangents at (x_(1),y_(1)),(x_(2)) "and" (x_(3),y_(3)) to the parabola y^(2)=4ax(agt0) is (1)/(16a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| sq.units.

The area of the triangle formed by the line x=3,\ \ y=4 and x=y is (a) 1/2 sq. unit \ (b) 1 sq. unit (c) 2 sq. unit (d) None of these

The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y=1 is

The area of triangle formed by x+y+1 = 0 and x^(2)-3xy+2y^(2)=0 is

The area of the triangle formed by the line x=3,y=4 and x=y is (a) sq.unit (b) 1 sq.unit (c)2sq .unit (d) None of these