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

Find coordinates of midpoint of segment joining (– 2, 6) and (8, 2) - Geometry Mathematics 2

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प्रश्न

Find coordinates of midpoint of segment joining (– 2, 6) and (8, 2)

बेरीज

उत्तर

Let A(x1, y1) = A(– 2, 6), B(x2, y2) = B(8, 2), C(x, y) be the midpoint of seg AB.

∴ x1 = – 2, y1 = 6, x2 = 8, y2 = 2

By midpoint formula,

C(x, y) = `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((-2 + 8)/2, (6 + 2)/2)`

= `(6/2, 8/2)`

= (3, 4)

∴ Coordinates of midpoint of segment joining (– 2, 6) and (8, 2) are (3, 4).

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The Mid-point of a Line Segment (Mid-point Formula)
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पाठ 5: Co-ordinate Geometry - Q.1 (B)

संबंधित प्रश्‍न

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Points P(a, −4), Q(−2, b) and R(0, 2) are collinear. If Q lies between P and R, such that PR = 2QR, calculate the values of a and b.


Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, –2), B = (0, 1) and C =(–1, 4).


Point P is the midpoint of seg AB. If co-ordinates of A and B are (-4, 2) and (6, 2) respectively then find the co-ordinates of point P.
(A) (-1,2) (B) (1,2) (C) (1,-2) (D) (-1,-2)


Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).


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( -3, 5) and (9, -9) 


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Find the mid-point of the line segment joining the points

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The centre of the circle is the midpoint of the diameter.

∴ Mid point formula,

`square = (square + x)/square`

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