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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Determine whether the following points are collinear. A(–1, –1), B(0, 1), C(1, 3) Given: Points A(–1, –1), B(0, 1) and C(1, 3) - Geometry Mathematics 2

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प्रश्न

Determine whether the following points are collinear. A(–1, –1), B(0, 1), C(1, 3)

Given: Points A(–1, –1), B(0, 1) and C(1, 3)

Slope of line AB = `(square - square)/(square - square) = square/square` = 2

Slope of line BC = `(square - square)/(square - square) = square/square` = 2

Slope of line AB = Slope of line BC and B is the common point.

∴ Points A, B and C are collinear.

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उत्तर

Given: Points A(–1, –1), B(0, 1) and C(1, 3)

Slope of line AB = `(bb1 - bb((-1)))/(bb0 - bb((-1))) = bb2/bb1` = 2

Slope of line BC = `(bb3 - bb1)/(bb1 - bb0) = bb2/bb1` = 2

Slope of line AB = Slope of line BC and B is the common point.

∴ Points A, B and C are collinear.

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