If the foot of the perpendicular drawn from the point 1 , 0 , 3 on a line passing through α , 7,1 is 5 3 , 7 3 , 17 3 , then α is equal to

Question

If the foot of the perpendicular drawn from the point 1 , 0 , 3 on a line passing through α , 7,1 is 5 3 , 7 3 , 17 3 , then α is equal to,

MARKS App · Accepted Answer

Since P Q , is perpendicular to L , therefore 1 - 5 3 α - 5 3 + - 7 3 7 - 7 3 + 3 - 17 3 1 - 17 3 = 0 - 2 α 3 + 10 9 - 98 9 + 112 9 = 0 2 α 3 = 24 9 ⇒ α = 4 .

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