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Maharashtra State BoardSSC (English Medium) 10th Standard

Draw seg AB of length 9 cm and divide it in the ratio 3 : 2 - Geometry Mathematics 2

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Question

Draw seg AB of length 9 cm and divide it in the ratio 3 : 2

Diagram
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Solution


Point R divides seg AB in ratio 3 : 2

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Chapter 4: Geometric Constructions - Q.1 (B)

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SCERT Maharashtra Geometry (Mathematics 2) [English] 10 Standard SSC
Chapter 4 Geometric Constructions
Q.1 (B) | Q 5

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Point P divides segment AB in the ratio m: n.

A(8, 9) = (x1, y1), B(1, 2 ) = (x2, y2) and P(6, 7) = (x, y)

Using Section formula of internal division,

∴ 7 = `("m"(square) - "n"(9))/("m" + "n")`

∴ 7m + 7n = `square` + 9n

∴ 7m – `square` = 9n – `square`

∴ `square` = 2n

∴ `"m"/"n" = square`


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