Question
The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point(0,172,−132). Then
Found 4 tutors discussing this question
Discuss this question LIVE
7 mins ago
Text solutionVerified
[c] Equation of line through (5,1,α) and (3,b,1)is x−5−2=y−1b−1=z−a1−a=λ ∴ Any point on this line is a [−2λ+5,(b−1)λ+1,(1−a)λ+a] It crosses yz plane where −2λ5=0 λ=52 ∴(0,(b−1)52+1,(1−a)52+a)=(0,172.−132) ⇒(b−1)52+1=172 and (1−a)52+a=−132 ⇒b=4anda=6
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
Find the equation of the plane determined by the points and Also find the distance of the point from the plane.Question 2
Write the equation of a plane which is at a distance of units from origin and the normal to which is equally inclined to coordinate axes.Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point(0,172,−132). Then |
Answer Type | Text solution:1 |
Upvotes | 150 |