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MHT CET20244 May 2024Morning ShiftMathematicsStraight LinesActual

The line L given by x 5 + y b 1 passes through the point (13,32) . The line K is parallel to line L and has the equation x c + y 3 =1 . Then the distance between L and K is units.

Options

  1. A23 15
  2. B17
  3. C17 15
  4. D23 17

Correct answer

D. 23 17

Step-by-step solution

Line L passes through ( 13,32 ). array rr & 13 5 + 32 b =1 & b=-20 array So, equation of L is x 5 - y 20 =1 4 x-y=20 Slope of L is m₁=4 . Slope of x c + y 3 =1 is m ₂= 3 c aligned & - 3 c =4 & c= 3 4 aligned Equation of line K is - 4 x 3 + y 3 =1 4 x-y=-3 Distance between L and K is | 20+3 16+1 |= 23 17

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