If the point `(1, alpha)` always remains in the interior of the triangle formed by the lines `y = x, y = 0 and x + y = 4,` then `alpha` lies in the interval

The point (-2,a) lies in the interior of the triangle formed by the lines y=x,y=-x and 2x+3y=6 the integral value of a is

The point (-2,a) lies in the interior of the triangle formed by the lines y=x,y=-x and 2x+3y=6 the integral value of a 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 range of values of the ordinate of a point moving on the line x=1 , which always remain in the interior of the triangle formed by the lines y=x , the x-axis and x+y=4.

Find the range of values of the ordinate of a point moving on the line x=1 , which always remain in the interior of the triangle formed by the lines y=x , the x-axis and x+y=4.

Find the range of values of the ordinate of a point moving on the line x=1, and always remaining in the interior of the triangle formed by the lines y=x, the x -axis,and x+y=4

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

If point P(alpha, alpha^2-2) lies inside the triangle formed by the lines x + y=1 , y=x + 1 and y=-1 then alpha in

If the points P(alpha,0) and Q(0,beta) always lies inside sthe Delta formed by the lines 2x-3y-6=0,3x-y+3=0 and 3x+4y-12=0 then

If point P(alpha,alpha^(2)-2) lies inside the triangle formed by the lines x+y=1,y=x+1 and y=-1 then alpha in