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16. Coordinate Geometry
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Q1 of 157 Page 753

Find the area of ΔABC whose vertices are:

A(1, 2), B(–2, 3) and C(–3, –4)


Area of triangle


= 1/2(x1(y2−y3) + x2(y3−y1) + x3(y1−y2))


= 1/2(1(–2 + 3)–2(–4–2)–3(2–3))


= 1/2(1 + 12 + 3)


= 8 sq units


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33

ABCD is a rectangle formed by the points A(– 1, – 1), B(– 1, 4), C(5, 4) and D(5, – 1). If P, Q, R and S be the midpoints of AB, BC, CD, and DA respectively, show that PQRS is a rhombus.

34

The midpoint P of the line segment joining the points A(– 10, 4) and B(– 2, 0) lies on the line segment joining the points C(– 9, – 4) and D(– 4, y). Find the ratio in which P divides CD. Also, find the value of y.

1

Find the area of ΔABC whose vertices are:

A(–5, 7), B(–4, –5) and C(4, 5)

1

Find the area of ΔABC whose vertices are:

A(3, 8), B(–4, 2) and C(5, –1)

Questions · 157
16. Coordinate Geometry
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