Does the point (-2.5, 3.5) lie inside, outside or on the circle `x^2 + y^2 = 25` ?

The points (-5,2) and (2,-5) lie in her

Show that the point (2,3) lies outside the parabola y^2=3x .

If the points (lambda, -lambda) lies inside the circle x^2 + y^2 - 4x + 2y -8=0 , then find the range of lambda .

If the point (1, 4) lies inside the circle x^(2)+y^(2)-6x-10y+p=0 then p is:

Does the point (0,2) lie on the first quadrant?

Find the equation of a circle, which touches the line x+ y = 5 at the point (-2, 7) and cuts the circle x^2+ y^2+ 4x - 6y +9 =0 orthogonally.

The total number of tangents through the point (3, 5) that can be drawn to the ellipse 3x^2+ 5y^2 = 32 and 25x^2 + 9y^2 = 450 is :

Find the points of intersection of the line 2x+3y=18 and the cricle x^(2)+y^(2)=25 .