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)(where1<=x<=3) is

If distance between the point (x, 2) and (3, 4) is 2, then the value of x =

The maximum distance of the point (4,4) from the circle x^2+y2-2x-15=0 is

The sum of the minimum distance and the maximum distance from the point (2,2) to the circle x^(2)+y^(2)+4x-10y-7=0 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

The sum of the minimum distance and the maximum distnace from the point (4,-3) to the circle x ^(2) + y^(2) + 4x -10y-7=0 is

Statement 1: A point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance 3sqrt(2) from the point (1,2,3) lies on the lne (x+7)/5=(y+t)/4=(z-2)/1 Statement 2: If d is the distance between the point (-1,-5,-10) and the point of intersectionof the line (x-2)/3=(y+1)/4=(z-2)/12 with the plane x-y+z=5 then d=13

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

Consider the points P(2,1):Q(0,0);R(4,-3) and the circle S:x^(2)+y^(2)-5x+2y-5=0