The number of integral values of 'a for which the point `(a,a^(2))` lies completely inside the triangle x=0,y=0,2y+x=3 is

The complete set of values of a for which the point (a,a^(2)) , a in R lies inside the triangle formed by the lines x-y+2=0,x+y=2 and x -axis 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) .Statement 2: The parabola y=x^(2) meets the linex +y=2 at (0,1) .

Determine all the values of alpha for which the point (alpha,alpha^(2)) lies inside the triangle formed by the lines.2x+3y-1=0x+2y-3=05x-6y-1=0

Find the value of k for which the point (1,-2) lies on the graph of the linear equation x-2y+k=0

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

The maximum negative integral value of b for which the point (2b+3, b^(2)) lies above the line 3x-4y-a(a-2)=0, AA ain R is

True set of real values of a such that the point M(a, sin a) lies inside the triangle formed by x - 2y+2=0,x+y=0 and x-y-pi=0 is :

From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

Find the values of a for which the point (a,a) , a gt 0, lies outside the circle x ^(2) + y ^(2) - 2x + 6y -6=0