`y-(y-1)/(2)=1-(y-2)/(3)`

(2y-1)/(3)=(y+2)/(2)

If fly)=1-(y-1)+(y-1)^(2)-(y-1)^(3)+...-(y-1) then the coefficient of y^(2) in it is

If ({(y+1)^(3)+(y-1)^(3)})/(((y+1)^(2)-(y-1)^(2)))=3y then the value of y+(3)/(y) is

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

(x + 2) (x + 1) = (x -2) (x -3) (y+3)(y+2)=(y-1)(y-2)

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.

If y_(1),y_(2),y_(3) be the ordinates of a vertices of the triangle inscribed in a parabola y^(2)=4ax then show that the area of the triangle is (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))|

Show that the area of the triangle inscribed in the parabola y^2= 4ax is : (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| , where y_(1),y_(2),y_(3) are the ordinates of the angular points.

(y + 1) (2y-1) - (3y-1) (y + 2)