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The equation 3x2 + 10xy + 8y2 = 0 represents ______ -

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Question

The equation 3x2 + 10xy + 8y2 = 0 represents ______ 

Options

  • two parallel lines

  • two perpendicular lines

  • two lines through the origin

  • none of these

MCQ
Fill in the Blanks

Solution

The equation 3x2 + 10xy + 8y2 = 0 represents two lines through the origin.

Explanation:

It is a homogeneous equation of degree 2 in x and y.

∴ Option (two lines through the origin) is the correct answer. 

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Homogeneous Equation of Degree Two
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