Find `alpha` if `(alpha, alpha^2)` lies inside the triangle having sides along the lines 2x+3y=1, x+2y-3=0, 6y=5x-1.

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

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 (1,1)dot (a) Both the statements are true, and Statement-1 is the correct explanation of Statement 2. (b)Both the statements are true, and Statement-1 is not the correct explanation of Statement 2. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

Find the values of alpha so that the point P(alpha^2,alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3y+2=0a n dx-2y-3=0.

Find the range of (alpha,2+alpha) and ((3alpha)/2,a^2) lie on the opposite sides of the line 2x+3y=6.

If (alpha^2,alpha) lies inside the triangle bounded by the lines x-5y+6=0,x-3y+2=0and x-2y-3=0 then find the value of alpha

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 only integral value of alpha , such that the point P(alpha,2) lines inside the triangle formed by the axis, x + y = 4 and x - y = 4 is :

The point P(alpha,alpha +1) will lie inside the triangle whose vertices are A(0,3), B(-2,0) and C(6,1) if

The complete set of real values of 'a' such that the point lies triangle p(a, sin a) lies inside the triangle formed by the lines x-2y +2= 0; x+y=0 and x-y-pi=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