हिंदी

A line segment joining P(2, –3) and Q(0, –1) is cut by the x-axis at the point R. A line AB cuts the y-axis at T(0, 6) and is perpendicular to PQ at S. - Mathematics

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प्रश्न

A line segment joining P(2, –3) and Q(0, –1) is cut by the x-axis at the point R. A line AB cuts the y-axis at T(0, 6) and is perpendicular to PQ at S.

Find the:

  1. equation of line PQ
  2. equation of line AB
  3. coordinates of points R and S.
योग

उत्तर

a. Slope of PQ = –1

Equation of PQ: x + y + 1 = 0

b. Slope of AB = 1

∴ Equation of line AB, x – y + 6 = 0

c. R(–1, 0)

`S(-7/2, 5/2)`

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