Instructions

For the Assertion (A) and Reason (R) the correct alternative from the following

Question 161

(A):  If D, E and F respectively represent orthocentre, centroid and circumcentre of a triangle $$\triangle ABC$$, then Area of $$\triangle DEF = \frac{1}{4}$$ (Area of $$\triangle ABC$$)
(R) : In any triangle, orthocentre, centroid and circumcentre are collinear:

Solution

The centroid divides the distance from the orthocentre to the circumcentre in the ratio 2:1. So, they are colinear. 

So, Condition R is true.

But, Condition A doesn't true as they are colinear.So, they can't form any triangle.

So,Option D is correct choice.


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