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 C−7 Coordinates of D(8,p−52,6+q2) −−→AD=(2+p+152,q2) ∵AD makes equal angle with the positive coordinate axes ∴2=p+152⇒p=−11,2=q2⇒q=4