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प्रश्न
Seg OA is the radius of a circle with centre O. The coordinates of point A is (0, 2) then decide whether the point B(1, 2) is on the circle?
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उत्तर
Co-ordinates of A = (0, 2)
Co-ordinates of O = (0, 0)
Co-ordinates of B = (1, 2)
Distance between two points = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
By distance formula,
d(O, A) = `sqrt((0 - 0)^2 + (0 - 2)^2`
= `sqrt((0)^2 + (-2)^2`
= `sqrt(0 + 4)`
= 2 ...(i)
d(O, B) = `sqrt((0 - 1)^2 + (0 - 2)^2`
`sqrt((-1)^2 + (-2)^2`
= `sqrt(1 + 4)`
= `sqrt(5)` ...(ii)
∴ From (i) and (ii),
d(O, B) > d(O, A)
∴ d(O, B) > Radius of circle
∴ Point B(1, 2) does not lie on the circle but lies outside the circle.
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Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane. |
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