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AP EAMCET202422 May 2024Morning ShiftMathematicsStraight LinesActual

The orthocentre of the triangle formed by lines x+y+1=0 ; x-y-1=0 and 3 x+4 y+5=0 is

Options

  1. A(0,-1)
  2. B(0,0)
  3. C(1,1)
  4. D(-1,0)

Correct answer

A. (0,-1)

Step-by-step solution

aligned & x+y+1=0 ...(i) & x-y-1=0 ....(ii) & 3 x+4 y+5=0 ....(iii) aligned Slope of (i) is -1 Slope of (ii) is 1 Triangle is right angled triangle and orthocentre of right angled triangle is the vertex where triangle has right angle. Solving (i) and (ii) (x, y)=(0,-1) Orthocentre

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