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.`

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

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

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

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 :

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.

Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n dy=6 is____

The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6 and 4x-y+4=0 lies in

Find the set of values of lambda , for which the point (sqrt(4-lambda^2),lambda) lies outside the triangle formed by the lines (y-3)^2=3x^2 and y+sqrt3=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

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.