Let two vertices of a triangle ABC be (2, 4, 6) and (0, -2,-5). and its centroid be (2,1,-1). If the image of the third vertex in the plane x + 2y + 4z = 11 is 
then 
is equal to
Text Solution
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Given.
Two vertices of a triangle ABC be (2, 4, 6) and (0,-2,-5). and its centroid be (2,1,-1)
Now. let the vertex 'C' be (a, b, c) and using centroid formula we get,
So. the third vertex will be, C(4, 1, -4)
Now finding image of C in x + 2y + 4z = 11 we get,
and 
Now find the required answer we get.
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