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

Find the coordinates of point P where P is the midpoint of a line segment AB with A(–4, 2) and B(6, 2). Solution : Suppose, (–4, 2) = (x1, y1) and (6, 2) = (x2, y2) and co-ordinates of P are (x, y). - Geometry Mathematics 2

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प्रश्न

Find the coordinates of point P where P is the midpoint of a line segment AB with A(–4, 2) and B(6, 2).

Solution :

Suppose, (–4, 2) = (x1, y1) and (6, 2) = (x2, y2) and co-ordinates of P are (x, y).

∴ According to the midpoint theorem,

x = `(x_1 + x_2)/2 = (square + 6)/2 = square/2 = square`

y = `(y_1 + y_2)/2 = (2 + square)/2 = 4/2 = square`

∴  Co-ordinates of midpoint P are `square`.

रिकाम्या जागा भरा
बेरीज

उत्तर

Suppose, (–4, 2) = (x1, y1) and (6, 2) = (x2, y2) and coordinates of P are (x, y).

∴ According to the midpoint theorem,

x = `(x_1 + x_2)/2 = (bb(-4) + 6)/2 = bb2/2` = 1

y = `(y_1 + y_2)/2 = (2 + bb2)/2 = 4/2` = 2

∴  The coordinates of midpoint P are (1, 2).

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The Mid-point of a Line Segment (Mid-point Formula)
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