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For the lines 5x + 2y = 8 and 5x - 2y = 7, which of the following statement is true?

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Question

For the lines 5x + 2y = 8 and 5x - 2y = 7, which of the following statement is true?

Options

  • Lines are parallel

  • Lines are coincident

  • Lines are intersecting

  • Lines are perpendicular

MCQ
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Solution

Lines are intersecting.

Explanation:

Let L1 ≡ 5x + 2y - 8 = 0 and

L2 ≡ 5x - 2y - 7 = 0, so that m1 = `-5/2`, m2 = `5/2`

Lines are neither patallel nor perpe.ndictilar, also not coincident. Hence, the lines are intersecting.

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