Trigonometric EquationHard
Question
The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point 
Then
ThenOptions
A.a = 2, b = 8
B.a = 4, b = 6
C.a = 6, b = 4
D.a = 8, b = 2
Solution
Equation of line passing through (5, 1, a) and (3, b, 1) is
If line crosses yz−plane i.e., x = 0
x = 2λ + 5 = 0
⇒ λ = - 5/2
Since, y = λ(1 - b) + 1
b = 4.
Also, z = λ (a - 1) + a = -
⇒ a = 6.
If line crosses yz−plane i.e., x = 0
x = 2λ + 5 = 0
⇒ λ = - 5/2
Since, y = λ(1 - b) + 1
b = 4.
Also, z = λ (a - 1) + a = -
⇒ a = 6.
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