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Question

Points A(6,10,3), B(5,p,6)  and C(11,5,q) form a triangle in which median AD makes equal angle with the positive x,y and z axes, then the value of p+q is 


A
9
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B
11
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C
7
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D
4
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Solution

The correct option is D 7
Coordinates of D(8,p52,6+q2)
AD=(2+p+152,q2)
AD makes equal angle with the positive coordinate axes
2=p+152p=11,2=q2q=4

Mathematics

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