Determine all the values of `alpha` for which the point `(alpha,alpha^2)` lies inside the triangle formed by the lines. `2x+3y-1=0` `x+2y-3=0` `5x-6y-1=0`

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (0,1)dot

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

Find the area of a triangle formed by lines 3x+y-2=0, 5x+2y-3=0 and 2x-y-3=0

Find the values of alpha for which the point (alpha-1,alpha+1) lies in the larger segment of the circle x^2+y^2-x-y-6=0 made by the chord whose equation is x+y-2=0

Find the values of alpha such that the variable point (alpha, "tan" alpha) lies inside the triangle whose sides are y=x+sqrt(3)-(pi)/(3), x+y+(1)/(sqrt(3))+(pi)/(6) = 0 " and " x-(pi)/(2) = 0

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

Number of values of alpha such that the points (alpha,6),(-5,0) and (5,0) form an isosceles triangle is

Consider the triangle formed by the lines y+3x+2=0, 3y-2x-5=0, 4y+x-14=0 Match the following lists:

The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 and 2x + y - 2 = 0 is