If the line through the points A(4, 1, 2), B (5, λ, 0) is p arallel to the line joining the points C(2, 1, 1) and D(3, 3, -1) then the value of λ equals

Question

If the line through the points A(4, 1, 2), B (5, λ, 0) is p arallel to the line joining the points C(2, 1, 1) and D(3, 3, -1) then the value of λ equals (A) 1 (B) 3 (C) 2 (D) -3

Tardigrade Admin · Accepted Answer

drâs of AB are < 1, λ -1 , -2 > drâs of C D are < 1, 2, -2 > As AB || CD ∴ 1 = (λ-1/2) = (-2/-2) ⇒ λ=3

Q. If the line through the points $A (4, 1, 2), B (5, λ, 0)$ is p arallel to the line joining the points $C (2, 1, 1)$ and $D (3, 3, - 1)$ then the value of $λ$ equals

$1$

$3$

$2$

$- 3$

dr’s of $A B$ are $< 1, λ - 1, - 2 >$
dr’s of C D are $< 1, 2, - 2 >$
As $A B ∣∣ C D$
$∴ 1 = \frac{λ - 1}{2} = \frac{- 2}{- 2}$
$\Rightarrow λ = 3$

Q. If the line through the points A(4,1,2),B(5,λ,0) is p arallel to the line joining the points C(2,1,1) and D(3,3,−1) then the value of λ equals

1

3

2

−3

dr’s of AB are <1,λ−1,−2> dr’s of C D are <1,2,−2> As AB∣∣CD ∴1=2λ−1​=−2−2​ ⇒λ=3

Q. If the line through the points $A (4, 1, 2), B (5, λ, 0)$ is p arallel to the line joining the points $C (2, 1, 1)$ and $D (3, 3, - 1)$ then the value of $λ$ equals

$1$

$3$

$2$

$- 3$

dr’s of $A B$ are $< 1, λ - 1, - 2 >$
dr’s of C D are $< 1, 2, - 2 >$
As $A B ∣∣ C D$
$∴ 1 = \frac{λ - 1}{2} = \frac{- 2}{- 2}$
$\Rightarrow λ = 3$