If the set of values of parameter alpha so that point P(alpha (1)/(1+alpha^(2))) does not does not lie outside the triangle formed by lines L_(1):15y=x+1 L_(2):78y=118-23x and L_(3):y+2=0 is a b . Then a+b=

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-3+2=0 and x-2y-3=0

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

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

If the point (alpha, alpha^(4)) lies on or inside the triangle formed by lines x^(2)y+xy^(2)-2xy=0 , then the largest value of alpha is .

Number of positive integral value(s) of p for which origin lies inside the triangle formed by the lines L_(1) :15x+2y=30, L_(2) :5x-y+15=0" and px-y+6p-15=0 is

Find the set of values of alpha in the interval [(pi)/(2),3(pi)/(2)1, for which the point (sin alpha,cos alpha)does not exist outside the parabola 2y^(2)+x-2=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) .Statement 2: The parabola y=x^(2) meets the linex +y=2 at (0,1) .

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