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प्रश्न
If A = (−4, 3) and B = (8, −6)
- Find the length of AB.
- In what ratio is the line joining A and B, divided by the x-axis?
उत्तर
i. A (−4, 3) and B (8, −6)
`AB = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`
= `sqrt((8 + 4)^2 + (-6 - 3)^2)`
= `sqrt(144 + 81)`
= `sqrt(225)`
= 15 units
ii. Let P be the point, which divides AB on the x-axis in the ratio k : 1.
Therefore, y-co-ordinate of P = 0.
`=> (-6k + 3)/(k + 1) = 0`
`=> -6k + 3 = 0`
`=> k = 1/2`
∴ Required ratio is 1 : 2.
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