Question

Find the value of x if a, b, and c are collinear points and b is between a and c. ab=12,bc=5x−2,ac=3x 20

Answers

  1. The value of x is 5, if a, b, and c are collinear points.
    According to the given question.
    a, b, and c are collinear points.
    Which means points a, b, and c both lie in a same line.
    b is between a nd c .
    Also, ab = 12
    bc = 5x – 2
    and ac = 3x + 20
    Since, b lies in between a and c
    Therefore,
    ab + bc = ac
    12 + 5x – 2 = 3x + 20
    ⇒ 10 + 5x = 3x + 20
    ⇒ 5x – 3x = 20 – 10
    ⇒ 2x = 10
    ⇒ x = 10/ 2
    ⇒ x = 5
    Therefore, the value of x is 5.
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