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MHT CET202313 May 2023Morning ShiftMathematicsStraight LinesActual

The base of an equilateral triangle is represented by the equation 2 x-y-1=0 and its vertex is (1,2) , then the length (in units) of the side of the triangle is

Options

  1. A20 13
  2. B2 15
  3. C8 15
  4. D15 2

Correct answer

B. 2 15

Step-by-step solution

aligned AD & = | 2-2-1 2^2+(-1)^2 | & = | -1 5 | & = 1 5 aligned aligned & In ABD , 60^ = AD BD & 3 = 1 5 BD & BD = 1 15 & BC =2 BD = 2 15 aligned

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