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प्रश्न
The distance of the point P(–6, 8) from the origin is ______.
विकल्प
8
`2sqrt(7)`
10
6
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उत्तर
The distance of the point P(–6, 8) from the origin is 10.
Explanation:
Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2
According to the question,
We have,
x1 = – 6, x2 = 0
y1 = 8, y2 = 0
d2 = [0 – (– 6)]2 + [0 – 8]2
d = `sqrt((0 - (-6))^2 + (0 - 8)^2`
d = `sqrt((6)^2 + (-8)^2`
d = `sqrt(36 + 64)`
d = `sqrt(100)`
d = 10
Therefore, the distance between P(–6, 8) and origin O(0, 0) 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.
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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 point on x axis equidistant from I and E is ______.
