Statement 1: The maximum value of `(sqrt(-3+4x-x^2)+4)^2+(x-5)^2(w h e r e1lt=xlt=3)i s36.` Statement 2: The maximum distance between the point `(5,-4)` and the point on the circle `(x-2)^2+y^2=1` is 6

Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

The maximum distance of the point (4,4) from the circle x^2+y^2-2x-15=0 is

The distance between the point (3,4,5) and the point where the line (x-3)/1=(y-4)/2=(z-5)/2 meets the plane x+y+z=17 is

The angle between the pair of tangents from the point (1, 1/2) to the circle x^2 + y^2 + 4x + 2y -4 = 0 is

Locate the position of the point (2,4) w.r.t the circle x^(2)+y^(2)-5x-6y+11=0

Find the maximum value of (7-x)^4(2+x)^5w h e nx lies between -2a n d7.

Write the angle between the curves y^2=4x and x^2=2y-3 at the point (1,\ 2) .

Statement 1 : Circles x^2+y^2=9 and (x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y-2)=0 touch each other internally. Statement 2 : The circle described on the focal distance as diameter of the ellipse 4x^2+9y^2=36 touches the auxiliary circle x^2+y^2=9 internally.

Show that the points (4,2) (3,-5) are conjugate points with respect to the circle x^(2) + y^(2) -3 x - 5y + 1 = 0

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(4)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.