1.

a) Find the equation of the circle with center (4, -3) and radius 7.b) Determine whether the points P(-5,2) lie inside, outside or on the circle in part (a).

Answer»

a) Equation of required circle is 

(x - 4)2 + ( y + 3)2 = 72

⇒ x2 - 8x + 16 + y2 + 6y + 9 = 49

⇒ x2 + y2 - 8x + 6y = 24    ....(i)

b) Put x = -5 & y = 2 in the L.H.S. of equation (i), we get

(-5)2 + 22 - 8(-5) + 6(2)

= 25  + 4 + 40 + 12

= 81 > 24

∴ Point P(-5, 2) lie outside of circle (a).



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