Five marks exercise problems IV — task. Mathematics State Board, Class 9.

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$O(0,0)$ is the centre of a circle whose one chord is

$AB$ , where the points

$A$ and

$B$ are

$(8,6)$ and

$(10,0)$ respectively.

$OD$ is the perpendicular from the centre to the chord

$AB$ . Find the coordinates of the mid-point of

$OD$ .

The coordinates of the mid-point of

$OD$

$=$

$(i, i)$

2. The points

$A(−5, 4)$ ,

$B(-1, -2)$ and

$C(5, 2)$ are the vertices of an isosceles right-angled triangle where the right angle is at

$B$ . Find the coordinates of

$D$ so that

$ABCD$ is a square.

The coordinates of

$D$

$=$

$(i, i)$

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10. Five marks exercise problems IV