if the points -1,2 0,P and 2,5 are collinear then value of P is
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Class 12
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>>Determinants
>>Area of Triangles using Determinants
>>If the points A(1, 2) , O (...
Question

If the points A(1,2), O(0,0) and C(a,b) are collinear then
A
a=b
B
a=2b
C
2a=b
D
a=−b
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Solution

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Correct option is
C
2a=b
Since the given points are collinear, they do not form a triangle, which means
area of the triangle is Zero.
Area of a triangle with vertices (x1,y1) ; (x2,y2) and (x3,y3) is ∣∣∣∣∣2x1(y2−y3)+x2(y3−y1)+x3(y1−y2)∣∣∣∣∣
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