Question

Take a point A(3,4) on the graph and draw two lines from it, one is parallel to X -axis and
another parallel to Y -axis. Again, take four points on both lines on both sides of A, such that their
x-coordinates and y-coordinates form an AP with common difference 2., Then, the area of circle,
passing through these four points is _______________​

Answer 1

Answer:

Radius of circle 1

Area of circle π

Step-by-step explanation:

From point (3,4) on drawing lines parallel to x axis and parallel to y axis we get infinite points.

The points on line parallel to x axis will have their y coordinate fixed and its value will be (a, 4) where a can take any value.

Similarly on the line parallel to y axis the points will have their x coordinate fixed so lets say each of them will be of the form (3, b)

Now two points(in AP) on these lines such that their coordinates differ by 2 and from these 4 points we have to make circle are (2, 4) and (4,4) on line parallel to x axis

Similarly other two points coordinate are (3,3) and (3, 5)

Now check the common difference is 2

so the radius of the circle is i unit

Area= π $r^{2}$ = π sq units

Fig attached for reference