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Find the Distances Between the Following Point. P(–6, –3), Q(–1, 9)

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प्रश्न

Find the distances between the following point.

P(–6, –3), Q(–1, 9) 

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उत्तर

 P(–6, –3), Q(–1, 9)

\[PQ = \sqrt{\left( - 6 - \left( - 1 \right) \right)^2 + \left( - 3 - 9 \right)^2}\]

\[ = \sqrt{25 + 144}\]

\[ = \sqrt{169}\]

\[ = 13\]

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अध्याय 5: Co-ordinate Geometry - Problem Set 5 [पृष्ठ १२२]

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बालभारती Geometry Mathematics 2 [English] Standard 10 Maharashtra State Board
अध्याय 5 Co-ordinate Geometry
Problem Set 5 | Q 6.2 | पृष्ठ १२२

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By distance formula,

PQ = `sqrt(square + (y_2 - y_1)^2`

= `sqrt(square + square)`

= `sqrt(square + square)`

= `sqrt(square + square)`

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Alia and Shagun are friends living on the same street in Patel Nagar. Shagun's house is at the intersection of one street with another street on which there is a library. They both study in the same school and that is not far from Shagun's house. Suppose the school is situated at the point O, i.e., the origin, Alia's house is at A. Shagun's house is at B and library is at C.

Based on the above information, answer the following questions.

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  3. Show that for Shagun, school is farther compared to Alia's house and library.
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    Show that Alia’s house, shagun’s house and library for an isosceles right triangle.

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