CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Consider the plane π:x+y=z, point A(1, 2, -3) and a line L:x13=y21=z34

The coordinates of a point B on L such that AB is parallel to the plane is ___



A

(8, 5, -9)

loader
B

(-8, 5, 9)

loader
C

(-8,-5, 9)

loader
D

(-8,5, -9)

loader

Solution

The correct option is D

(-8,5, -9)


B=(3λ+1,λ+2,4λ+3)
1(3λ)+1(λ)1(4λ+6)=0
λ=3
B=(8,5,9)
Equation is a(x1)+b(y2)+c(z3)=0
It passes through (1,2,3)c=0
and 3ab=0a=1andb=3
(x1)+3(y2)=0


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image