If the points A (a, 0), B (0, b) and C (c, 0) are collinear then a = -c.(a) False(b) TrueI have been asked this question in quiz.The question is from Geometry in section Coordinate Geometry of Mathematics – Class 10

If the points A (a, 0), B (0, b) and C (c, 0) are collinear then a = -

1.	If the points A (a, 0), B (0, b) and C (c, 0) are collinear then a = -c.(a) False(b) TrueI have been asked this question in quiz.The question is from Geometry in section Coordinate Geometry of Mathematics – Class 10
Answer» The correct option is (a) False For EXPLANATION: We know that, area of triangle = \(\frac {1}{2}\){x1(Y2 – y3 ) + x2(y3 – y1 ) + x3(y1 – y2 )} The three points are A (a, 0), B (0, b) and C (c, 0) Since the points are collinear, the area of triangle will be zero. The area of triangle = \(\frac {1}{2}\) {a(b – 0) + 0(c – 0) + c(0 – b) } = \(\frac {1}{2}\) {ab + 0 – bc} \(\frac {1}{2}\) {ab – bc} = 0 {ab – bc} = 0 a = c

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