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 . Given 5

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 . Given 5 (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

D.R. of BP=< (5/3)-α, (7/3)-7, (17/3)-1> D.R. of AP=< (5/3)-1, (7/3)-0, (17/3)-3> BP ⊥ r AP ⇒ α=4

Q. If the foot of the perpendicular drawn from the point $(1, 0, 3)$ on a line passing through $(α, 7, 1) i s (\frac{5}{3}, \frac{7}{3}, \frac{17}{3})$ , then $α$ is equal to __________.
Given 5

$D . R .$ of $BP =< \frac{5}{3} - α, \frac{7}{3} - 7, \frac{17}{3} - 1 >$
$D . R .$ of $A P =< \frac{5}{3} - 1, \frac{7}{3} - 0, \frac{17}{3} - 3 >$
$BP ⊥ r A P$
$\Rightarrow α = 4$

Q. If the foot of the perpendicular drawn from the point (1,0,3) on a line passing through (α,7,1)is(35​,37​,317​), then α is equal to __________. Given 5

D.R. of BP=<35​−α,37​−7,317​−1> D.R. of AP=<35​−1,37​−0,317​−3> BP⊥rAP ⇒α=4

Q. If the foot of the perpendicular drawn from the point $(1, 0, 3)$ on a line passing through $(α, 7, 1) i s (\frac{5}{3}, \frac{7}{3}, \frac{17}{3})$ , then $α$ is equal to __________.
Given 5

$D . R .$ of $BP =< \frac{5}{3} - α, \frac{7}{3} - 7, \frac{17}{3} - 1 >$
$D . R .$ of $A P =< \frac{5}{3} - 1, \frac{7}{3} - 0, \frac{17}{3} - 3 >$
$BP ⊥ r A P$
$\Rightarrow α = 4$