A point Plies inside the circles `x^2+y^2-4=0 and x^2+y^2-8x+7=0`. The poirt P starts moving such that it is always inside the circles, its path enclosus greatest possible area and it is at a fixeddistance from an arbitrarily chosen point in its region. The locus of P is.

A point P lies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0 . The point P starts moving such that it is always inside the circles, its path enclosus greatest possible area and it is at a fixeddistance from an arbitrarily chosen point in its region. The locus of P is.

A point P lies on or inside the circle x^2+y^2-8x+7=0 and ellipse 25 x^2+4y^2=100 both. The point P moves such that its path encloses the greatest possible area is always at a fixed distance from point (3/2,0) in its region. If the locus of P is a x^2+y^2+b x+c=0 then which of the following is/are correct? a=2 b. b=-3 c. c=2 d. a+b+c=0

A point which is inside the circle x^(2)+y^(2)+3x-3y+2=0 is :

A point which is inside the circle x^(2)+y^(2)+3x-3y+2=0 is :

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

The point ([p+1], [p]) is lying inside the circle x^2+y^2-2x-15=0 and x^2+y^2-2x-7=0 . Then the set of all values of p is (where [.] represents the greatest integer function)

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

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

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