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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). |
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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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