Find the equation of a circle whose centre is (3, –2) and has

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 Multiple Choice QuestionsShort Answer Type

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 Multiple Choice QuestionsLong Answer Type

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 Multiple Choice QuestionsShort Answer Type

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7. Find the equation of a circle whose centre is (3, –2) and has an area of 154 square units.


The co-ordinates of the centre of the circle are (3, -2)
rightwards double arrow                                       h = 3, k = -2                                                        ...(i)
Let r be the radius of the circle
                     Area of the circle =<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre>                                                 (Given)
rightwards double arrow                            straight r squared equals 154 over straight pi equals 154 over 22 cross times 7 equals 49
∴     Radius,                              r = 7                                                                ...(ii)
Equation of the circle in the standard form is:
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#6 {main}</pre>
or  straight x squared plus straight y squared minus 6 straight x plus 4 straight y plus 9 plus 4 equals 49 space rightwards double arrow space straight x squared plus straight y squared minus 6 straight x plus 4 straight y minus 36 equals 0
which is the required equation of the circle.

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8. Find the equation of a circle having radius 5 units and the centre as the point of intersection of the straight lines 2x – y – 5 = 0 and 3x + 2y = 4.
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9. Find the equation of a circle, two of whose diameters are along the straight lines x – 2y = 7 and x + 2y + 1 = 0 and which passes through the point (1, 4).
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10. Find the equation of a circle having centre at point C(–2, 3) and touching the straight line 3x – 4y – 2 = 0.
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