vigneshpandi wrote:

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.

(2) The distance between point X and point Y is 9.

The answer is an emphatic C

(1) The distance between point P and point X is 4.5.

Since the radius of the circle is 4 every point >4 will lie outside the circle. SO X is definitely outside the circle. BUT THE QUESTION IS ASKING ABOUT Y.

INSUFFICIENT

(2) The distance between point X and point Y is 9

We cannot find out the relative position of X and Y from this statement alone. There is no data at all. Even the question stem is useless.

INSUFFICIENT

Merge both statement

X is 4.5 away from the centre. Since the radius is 4 therefore X will always be 0.5 away from the centre and outside the centre.

Now Y is 9 away from X. Even if we take it to be directly opposite X on the other side of circle on a line that is the diameter of the circle it will be 9-(0.5 +8)= 0.5 away

the circle and hence always outside the circle.

CORRECT ANSWER IS C

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