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Mathematics : Conic Section

Short Answer Type

41. Find the co-ordinates of the centre and radii of the following circle:

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42. Find the co-ordinates of the centre and radii of the following circle:

straight x squared plus straight y squared minus 4 straight x minus 8 straight y minus 45 equals 0

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43. Find the co-ordinates of the centre and radii of the following circle:

2 straight x squared plus 2 straight y squared minus straight y equals 0

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44. Find the co-ordinates of the centre and radii of the following circle:

2 straight x squared plus 2 straight y squared minus 4 straight x minus 8 straight y minus 17 equals 0

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45. Find the co-ordinates of the centre and radii of the following circle:

space space straight x squared plus straight y squared equals straight r squared

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46. Does the indicated point lie inside, on, or outside the corresponding circles?
(1,3),

space space straight x squared plus straight y squared plus 2 straight x plus 6 straight y plus 1 equals 0

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47. Does the indicated point lie inside, on, or outside the corresponding circles?
(-3, 4),

straight x squared plus straight y squared equals 25

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48. Does the indicated point lie inside, on, or outside the corresponding circles?
(2, -1),

space space space straight x squared plus straight y squared plus 4 straight x plus 2 straight y minus 20 equals 0

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49. In the following, find the co-ordinates of the focus, axis of the parabola, the equation of the directrix and length of the latus rectum.

straight y squared equals 10 straight x

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50. In the following, find the co-ordinates of the focus, axis of the parabola, the equation of the directrix and length of the latus rectum.

straight y squared equals negative 8 straight x

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