# Solution - Area of a Triangle

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ConceptArea of a Triangle

#### Question

Find the centre of a circle passing through the points (6, − 6), (3, − 7) and (3, 3).

#### Solution

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If A(−4, 8), B(−3, −4), C(0, −5) and D(5, 6) are the vertices of a quadrilateral ABCD, find its area.

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If D, E and F are the mid-points of sides BC, CA and AB respectively of a ∆ABC, then using coordinate geometry prove that Area of ∆DEF = \frac { 1 }{ 4 } "(Area of ∆ABC)"

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If the points A(−2, 1), B(a, b) and C(4, −1) are collinear and a − b = 1, find the values of a and b.

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If the points A(x, 2), B(−3, −4) and C(7, − 5) are collinear, then the value of x is:

(A) −63
(B) 63
(C) 60
(D) −60

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#### Reference Material

Solution for concept: Area of a Triangle. For the course 8th-10th CBSE
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