Set of value of `alpha` for which the point `(alpha,1)` lies inside the circle `x^(2)+y^(2)-4=0` and parabola `y^(2)=4x` is

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

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x 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.

The point (8,4) lies inside the parabola y^(2) = 4ax If _

The range of values of alpha for which the line 2y=gx+alpha is a normal to the circle x^2+y^2+2gx+2gy-2=0 for all values of g is (a) [1,oo) (b) [-1,oo) (c) (0,1) (d) (-oo,1]

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 :

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

Find the set of those value(s) of alpha for which (7-(5alpha)/4,alpha) lies inside the ellipse x^2/25+y^2/16=1

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.

Find the value of alpha for which the point (alpha, alpha + 2) is an interior point of the smaller segment of the circle x^2 + y^2 - 4 = 0 made by the chord whose equation is 3x + 4y + 12 = 0