1.

Find the equation of the circle whose centre is in the first quadrant and radius 4

Answer»

We KNOW that the equation of a circle with center (H,k) and radius r units is (x−h)²+(y−k)²=r² .

or, acc to the question, centre is in the first quadrant and radius 4. That MEANS h = k = 4 units. i.e. (4,4) SINCE it's the first quadrant the centre will be (h,k)

Therefore, equation will be:

(x−4)²+(y−4)²=4²

or, (x−4)²+(y−4)² = 16 [ANS]



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