1.In each of the following, find the equation of circle with centre (-2, 3) and radius 4
Centre (h, k) (-2, 3) h = -2, k = 3, Radius, r = 4 ∴ The equation of circle is : or
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2.In each of the following, find the equation of circle with centre and radius
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3.In each of the following, find the equation of circle with centre (-a, -b) and radius.
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4.Find the equation of a circle with centre at (2, 2) and passes through the point (4,5).
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Long Answer Type
5.Find the equation of a circle which pass through the points O (0, 0), A (4, 0) and B (0, 3).
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6.Find the equation of the circle passes through (0, 0) and making intercepts a and b on the co-ordinate axes.
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Short Answer Type
7.Find the equation of a circle whose centre is (3, –2) and has an area of 154 square units.
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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.