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Question -

If P (9a – 2, -b) divides the line segment joining A (3a + 1, -3) and B (8a, 5) in the ratio 3 : 1, find the values of a and b. [NCERT Exemplar]



Answer -

Let P (9a – 2, -b) divides AB internally in the ratio 3 : 1.
By section formula,
=> 9a – 9 = 0
a = 1

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