If A and B are the two points (-2, 3) and (4, - 5), A particle P is moving in the same plane such that PA² - PB² = 20. The path it traces is

a)Circle
b)Rectangle
c)Ellipse
d)Line
e)None of these

If chord of the circle x²+y² makes equal intercept of length a on co-ordinate axes then which of following is true

a)a>4
b)a<4
c)a<4√2
d)a>4√2
e)None of these

A circle x²+y²=8² contains points (a,a+2) such that they are closer to the center then to the boundary of the circle. How many integer values of co-ordinates are possible i.e both x and y co-ordinates are integers

a)4
b)6
c)8
d)10
e)None of these

In a new co-ordinate system point the distance between points A(x1,y1) and B(x2,y2) is defined by the following equation
D(A,B) = |x1-x2| + |y1-y2|
Let a point P(x,y) such that P is equidistant from O(0,0) and Q(1,2) with respect to the new distance and if 0≤x<1 and 0≤y<2.The point P lie on a line segment whose equation is

a)x+y=3
b)x+2y=3
c)2x+y=3
d)2x+2y=3
e)Cannot be determined

If the circle C1 x² + y² =16 intersects another circle C2 of radius 5 in such a manner that the common chord is of maximum length and has a slope equal to 3/4, the co-ordinates of the centre of C2 are
[I](9/5,-12/5) [II] (-9/5,12/5) [III] (-9/5,-12/5)

a) only I
b) only II
c) only III
d) both I and II
e) both II and III

Find the area of the circle which touches the curve x² - 4x +8 at its minimum value(i.e minima) point and also touches the x axis.
a)Π
b)2Π
c)3Π
d)4Π

Problem: A square ABCD lies in first quadrant. The equation of the line AB is x+y=2
what is the equation of line CD.
(a) x - y = 5
(b) y - x = 6
(c) x + y = 6
(d) x + y = 4