मराठी

Find the Distance Between the Origin and the Point: (-5, -12)

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प्रश्न

Find the distance between the origin and the point:
(-5, -12)

बेरीज
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उत्तर

Coordinates of origin are O (0, 0).
B (-5, -12)
BO = `sqrt((0 + 5)^2 + (0 + 12)^2)`
= `sqrt(25 + 144)`
= `sqrt(169)`
= 13

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पाठ 25: Distance Formula - Exercise 28 [पृष्ठ ३३५]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 25 Distance Formula
Exercise 28 | Q 2.2 | पृष्ठ ३३५

संबंधित प्रश्‍न

If A(4, 3), B(-1, y) and C(3, 4) are the vertices of a right triangle ABC, right-angled at A, then find the value of y.


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The length of line PQ is 10 units and the co-ordinates of P are (2, -3); calculate the co-ordinates of point Q, if its abscissa is 10.


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Case Study -2

A hockey field is the playing surface for the game of hockey. Historically, the game was played on natural turf (grass) but nowadays it is predominantly played on an artificial turf.

It is rectangular in shape - 100 yards by 60 yards. Goals consist of two upright posts placed equidistant from the centre of the backline, joined at the top by a horizontal crossbar. The inner edges of the posts must be 3.66 metres (4 yards) apart, and the lower edge of the crossbar must be 2.14 metres (7 feet) above the ground.

Each team plays with 11 players on the field during the game including the goalie. Positions you might play include -

  • Forward: As shown by players A, B, C and D.
  • Midfielders: As shown by players E, F and G.
  • Fullbacks: As shown by players H, I and J.
  • Goalie: As shown by player K.

Using the picture of a hockey field below, answer the questions that follow:

The coordinates of the centroid of ΔEHJ are ______.


Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.


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