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The Equation X2 + Y2 + 2x − 4y + 5 = 0 Represents

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Question

The equation x2 + y2 + 2x − 4y + 5 = 0 represents

Options

  • a point

  • a pair of straight lines

  • a circle of non-zero radius

  • none of these

MCQ
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Solution

a point

The radius of the given circle = \[\sqrt{1^2 + \left( - 2 \right)^2 - 5} = 0\]

Hence, the radius of the given circle is zero, which represents a point.

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Advanced Concept of Circle - Standard Equation of a Circle
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Chapter 24: The circle - Exercise 24.6 [Page 39]

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R.D. Sharma Mathematics [English] Class 11
Chapter 24 The circle
Exercise 24.6 | Q 3 | Page 39

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