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MHT CET202313 May 2023Evening ShiftMathematicsStraight LinesActual

PS is the median of the triangle with vertices at P(2,2), Q(6,-1) and R(7,3) , then the intercepts on the co-ordinate axes of the line passing through point (1,-1) and parallel to PS are respectively

Options

  1. A7 2 , -7 9
  2. B2 7 , 9 7
  3. C-7 2 , -7 9
  4. D-2,-9

Correct answer

C. -7 2 , -7 9

Step-by-step solution

S = midpoint of QR = ( 6+7 2 , -1+3 2 )= ( 13 2 , 1 ) 'm' of PS = 2-1 2- 13 2 =- 2 9 The required equation is y+1= -2 9 (x-1) 2 x+9 y+7=0 Here, intercept on X -axis is - 7 2 and intercept on Y -axis is - 7 9

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