Trigonometric EquationEasy
Question
If the points (1, 1, λ) and (−3, 0, 1) are equidistant from the plane, 3x + 4y − 12z + 13 = 0, then satisfies the equation :
Options
A.3x2 − 10x + 21 = 0
B.3x2 + 10x − 13 = 0
C.3x2 + 10x − 7 = 0
D.3x2 + 10x + 7 = 0
Solution
|3 + 4 - 12λ + 13| = | -9 + 0 - 12 + 13|
⇒ |20 - 12λ| = 8
⇒ 12λ - 20 = ± 8
⇒ 12 λ = 20 ± 8
⇒ λ = 1,
λ = 1 or λ =
⇒ |20 - 12λ| = 8
⇒ 12λ - 20 = ± 8
⇒ 12 λ = 20 ± 8
⇒ λ = 1,
λ = 1 or λ =
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