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प्रश्न
The distance between the points (–6, 9) and (2, 7) is ______.
पर्याय
`2sqrt(17)`
`4sqrt(17)`
`2sqrt(5)`
`2sqrt(15)`
MCQ
रिकाम्या जागा भरा
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उत्तर
The distance between the points (–6, 9) and (2, 7) is `underlinebb(2sqrt(17))`.
Explanation:
By using distance formula
Distance = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2` ...[∵ Points are (–6, 9) and (2, 0) so, x1 = (–6), y1 = 9, x2 = 2, y2 = 7]
= `sqrt([2 - (-6)]^2 + (7 - 9)^2`
= `sqrt((2 + 6)^2 + (-2)^2`
= `sqrt((8)^2 + 4)`
= `sqrt(64 + 4)`
= `sqrt(68)`
= `2sqrt(17)`
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