ConceptDistance Formula

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#### Question

If A(5, 2), B(2, −2) and C(−2, *t*) are the vertices of a right angled triangle with ∠B = 90°, then find the value of *t*.

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Determine if the points (1, 5), (2, 3) and (− 2, − 11) are collinear.

Find a relation between *x* and *y* such that the point (*x*, *y*) is equidistant from the point (3, 6) and (− 3, 4).

Find the values of *y* for which the distance between the points P (2, - 3) and Q (10, *y*) is 10 units

Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:

(− 3, 5), (3, 1), (0, 3), (− 1, − 4)

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#### Reference Material

Solution for concept: Distance Formula. For the course 8th-10th CBSE