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AP EAMCET202119 Aug 2021Morning ShiftMathematicsStraight LinesActual

The sum of the squares of the intercepts made by the line 5 x - 2 y = 10 on the co-ordinate axes equals

Options

  1. A29
  2. B25
  3. C4
  4. D100

Correct answer

A. 29

Step-by-step solution

The given line is 5 x - 2 y = 10 ⇒ The intercept form of the line is x 2 - y 5 = 1 Thus, the intercepts are 2 ,   - 5 Hence, the sum of squares of the intercepts is 2 2 + - 5 2 = 2 2 + 5 2 = 4 + 25 = 29

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