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

Point P is the Centre of the Circle and Ab is a Diameter . Find the Coordinates of Point B If Coordinates of Point a and P Are (2, –3) and (–2, 0) Respectively. - Geometry Mathematics 2

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प्रश्न

Point P is the centre of the circle and AB is a diameter . Find the coordinates of point B if coordinates of point A and P are (2, –3) and (–2, 0) respectively.

उत्तर

Centre = P(–2, 0)
Diameter has A(2, –3) on one end and B(x, y) on the other. 
The centre point P divides AB in two equal parts. 
So, using the midpoint formula, 

2=2+x2

4=2+x

x=6

 And 

0=3+y2

0=3+y

y=3

(x,y)=(6,3)

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The Mid-point of a Line Segment (Mid-point Formula)
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पाठ 5: Co-ordinate Geometry - Practice Set 5.2 [पृष्ठ ११५]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
पाठ 5 Co-ordinate Geometry
Practice Set 5.2 | Q 4 | पृष्ठ ११५

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