The points a- b-c- d and k c-l a-k-1- k d-l b-k-l areA- Vertices of a right angled triangleB- Vertices of an isosceles triangleC- CollinearD- Vertices of an equilateral triangle

The correct option is C Collinear 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 ...

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Standard XI

Mathematics

Orthocentre

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

The correct option is D
Collinear

The given points are collinear because the point $(\frac{k c + l a}{k + l}, \frac{k d + l b}{k + l})$ divides the points (a, b) and (c, d) in the

ratio of k:l.

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The points (a, b), (c, d) and (kc+lak+l,kd+lbk+l) are

The correct option is D Collinear The given points are collinear because the point (kc+lak+l,kd+lbk+l) divides the points (a, b) and (c, d) in the ratio of k:l.

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

The correct option is D
Collinear

The given points are collinear because the point $(\frac{k c + l a}{k + l}, \frac{k d + l b}{k + l})$ divides the points (a, b) and (c, d) in the

ratio of k:l.