मराठी

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible value of k?

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प्रश्न

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible value of k?

बेरीज
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उत्तर

Consider the points A(4, k) and B(1, 0).

It is given that the distance AB is 5 units.

By distance formula, distance AB is as follows:

`AB = sqrt((4-1)^2 + (k - 0)^2)`

`=> 5 = sqrt(9 + (k)^2)`

`=> 25 = 9 + k^2`

`=> 16 = k^2`

`=> +- 4 = k`

Hence, value of k are `+- 4`.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Co-ordinate Geometry - VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) [पृष्ठ ६.४५]

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आर.डी. शर्मा Mathematics [English] Class 10
पाठ 6 Co-ordinate Geometry
VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) | Q 4. | पृष्ठ ६.४५
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