QJEEM24Ma01f2: JEE Main 2024 Mathematics - Class 12 JEEM24Ma01f2 Solution: Let ( α , β , γ ) be the foot of perpendicular from the point ( …

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QJEEM24Ma01f2: JEE Main 2024 Mathematics - Class 12 JEEM24Ma01f2 Solution: Let ( α , β , γ ) be the foot of perpendicular from the point ( …

Let $(α, β, γ)$ be the foot of perpendicular from the point $(1, 2, 3)$ on the line $\frac{x + 3}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}$ . Then $19 (α + β + γ)$ is equal to :

Multiple Choice Options

A 99
B 102
C 101
D 100

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Accepted Answer

JEE Main 2024 (Online) 30th January Morning Shift Mathematics - 3D Geometry Question 38 English Explanation

Let foot $P (5 k - 3, 2 k + 1, 3 k - 4)$

DR's $\to$ AP : $5 k - 4, 2 k - 1, 3 k - 7$

DR's $\to$ Line: $5, 2, 3$

Condition of perpendicular lines $(25 k - 20) + (4 k - 2) + (9 k - 21) = 0$

Then $k = \frac{43}{38}$

Then $19 (α + β + γ) = 101$

QJEEM24Ma01f2: JEE Main 2024 Mathematics - Class 12 JEEM24Ma01f2 Solution: Let ( α , β , γ ) be the foot of perpendicular from the point ( …

Multiple Choice Options

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