The points a- b- c- d and kc - la-k - l- kd - lb-k - l are

The given points are collinear because the point ( kc + la/k + l, kd + lb/k + l) divides the points (a, b) and (c, d) in the ratio of k:l. ...

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Section Formula

The points a,...

Question

The points (a, b), (c, d) and $(\frac{k c + l a}{k + l}, \frac{k d + l b}{k + l})$ are

Vertices of an equilateral triangle

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Vertices of an isosceles triangle

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Vertices of a right angled triangle

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Collinear

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Solution

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Similar questions

The points (a, b), (c, d) and $(\frac{k c + l a}{k + l}, \frac{k d + l b}{k + l})$ are

m

2 m

I_{A}

I_{B}

I_{B}

I_{A}

L_{A}

L_{B}

D = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣

D_{0} = ∣ ∣ ∣ ∣ \begin{matrix} k a_{1} & k b_{1} & k c_{1} k a_{2} & k b_{2} & k c_{2} k a_{3} & k b_{3} & k c_{3} \end{matrix} ∣ ∣ ∣ ∣

D_{0} = k^{3} D

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