Q22 of 149 Page 14

Find the angle subtended at the origin by the line segment whose end points are (0,100) and (10, 0).

Since the abscissa of first coordinate is zero, therefore this point lies on y-axis. Ordinate of second point is zero, therefore this point lies on y-axis. We know that both the axes are perpendicular to eachother, therefore the angle between these points is 90°.


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20

The three vertices of a parallelogram are (3, 4), (3, 8) and (9, 8). Find the fourth vertex.

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Find the circumcentre of the triangle whose vertices are (-2, -3), (- 1, 0), (7, - 6).

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Find the centre of the circle passing through (2, 1), (5, - 8) and (2, - 9).

 24

Find the value of k, if the point P (0, 2) is equidistant from (3, k) and (k, 5).