Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
73 views
in Mathematics by (94.8k points)
closed by
Find the angle between the lines `(x-2)/3=(y+1)/(-2)=z=2a n d(x-1)/1=(2y+3)/3=(z+5)/2dot`
A. `(pi)/6`
B. `(pi)/4`
C. `(pi)/2`
D. `(pi)/3`

1 Answer

0 votes
by (95.5k points)
selected by
 
Best answer
Correct Answer - C
The given equations are not in the standard form.
The equations of the given lines in standard form can be written as
`(x-2)/3=(y+1)/(-2)=(z-2)/0`…………..i
and `(x-1)/1=(y+3//2)/(3//2)=(z+5)/2`…………..ii
If `theta` is the angle the given lines, then
`cos theta=((3)(1)+(-2)(3//2)+(0)(2))/(sqrt(3^(2)+(-2)^(2)+0^(2))sqrt(1^(2)+(3//2)^(2)+2^(2)))-0`
`impliestheta=pi//2`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...