If P−2,−4,−9and direction cosines of OP→are α,β,γ, then α+β+γ×101 is
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a
101
b
72
c
-15
d
None
answer is C.
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Detailed Solution
The direction cosines of the line OP→ are −24+16+81,−44+16+81,−94+16+81 Consider Therefore, the required value is α+β+γ×101=−2−4−9101×101=−15Therefore, the required value is −15