Let `A(1,4)` and `B(1,-5)` be two points let p be the point on `(x-1)^2+(y-1)^2=1`. Find maximum value of `(PA)^2+(PB)^2`

Let F_1 (0, 3) and F_2 (0, -3) be two points and P be any point on the ellipse 25x^2 + 16y^2= 400 , then value of (PF_1+ PF_2) is

Let P(2,-4) and Q(3,1) be two given points. Let R(x, y) be a point such that (x-2)(x-3)+(y-1)(y+4)=0 .If area of Delta PQR is (13)/(2) , then the number of possible positions of R are

A(-3,2),B(2,5) be two points if the point P(0,k) lies on y- axis such that |PA-PB| is maximum. Then (k-1)/(5)=

Let y=(x^(2)+x+5)/(x^(2)+x+1), then the maximum value of y is

If A(3,4,1) and B(-1,2,3) are two points, then find the locus of a moving point P such that PA^(2)+PB^(2)=2k^(2) .

Let P be a variable point on the elipse (x^(2))/(a ^(2)) +(y ^(2))/(b ^(2)) =1 with foci F_(1) and F_(2). If A is the area of the triangle PF _(1) F_(2), then maximum value of A is

Let M(-1,2) and N(1,4) be two points in a plane rectangular coordinate system P is moving point on the x-axis when /_MPN takes its maximum value the x-coordinate of point P is

A point P moves on the ellipse (x^(2))/(4)+(y^(2))/(3)=1 above the x-axis and points Q and R are moving respectively on the circles (x-1)^(2)+y^(2)=1 and (x-1)^(2)+y^(2)=1 below x-axis.Find maximum value of (PQ+PR).