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Circle x2 + y2 – 4x = 0 touches ______. -

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Question

Circle x2 + y2 – 4x = 0 touches ______.

Options

  • Y-axis at the origin

  • X-axis at the origin

  • X-axis at the point (3, 0)

  • Y-axis at the point (0, 2)

MCQ
Fill in the Blanks

Solution

Circle x2 + y2 – 4x = 0 touches Y-axis at the origin.

Explanation:

Centre is (2, 0) and radius = `sqrt((-2)^2 + 0 - 0)` = 2

Hence, circle touches Y-axis at the origin.

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Different Forms of Equation of a Circle
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