Q6 of 169 Page 644

A is a point on the x-axis with abscissa -8 and B is a point on the y-axis with ordinate 15. Find the distance AB.

Given: The two points are A(-8, 0) and B(0, 15)


Distance between A and B



⇒ √ 289


⇒ 17 units


Therefore, the distance between A and B is 17 units.


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4

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Find the distance between the points A(x1, y1) and B(x2, y2), when

(i) AB is parallel to the x-axis


(ii) AB is parallel to the y-axis.


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Find a point on the y-axis which is equidistant from A(-4, 3) and B(5, 2).

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Using the distance formula, show that the points A(3, -2), B(5, 2) and C(8,8) are collinear.