मराठी

If the vertices of a triangle are (1, 3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is: - Mathematics

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प्रश्न

If the vertices of a triangle are (1, 3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is:

पर्याय

  • (0, 0)

  • (0, 1)

  • (1, 0)

  • (1, 1)

MCQ

उत्तर

(0, 0)

Explanation:

The vertices of a triangle are (1, 3), (2, - 4) and (-3, 1).

x1 = 1, x2 = 2, x3 = -3, y1 = 3, y2 = -4, y3 = 1.

Centroid formula of a given triangle

C = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)` 

C = `((1 + 2 - 3)/3 , (3 - 4 + 1)/3)`

C = `(0/3 , 0/3)`

C = (0, 0).

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The Mid-point of a Line Segment (Mid-point Formula)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2021-2022 (April) Set 1

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P(–3, 2) is the mid-point of line segment AB as shown in the given figure. Find the co-ordinates of points A and B.


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P , Q and R are collinear points such that PQ = QR . IF the coordinates of P , Q and R are (-5 , x) , (y , 7) , (1 , -3) respectively, find the values of x and y.


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

(−2, 3) and (−6, −5)


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


Given: A`square` and P`square`. Let B (x, y)

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

∴ Mid point formula,

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and `square = (square + y)/2`

⇒ `square` + y = 0

⇒ y = 3

Hence coordinates of B is (– 6, 3).


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