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
14.7k views
in Three-dimensional geometry by (52.5k points)

An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z – 1 = 0 and 5x + 8y + 2z + 14 = 0, is

(A) sin-1((3/17))

(B) cos-1((3/17))

(C) cos-1(3/17)

(D) sin-1(3/17)

1 Answer

+1 vote
by (54.8k points)
selected by
 
Best answer

Answer is (A) sin-1((3/17))

Given:

3x + 4y + z – 1 = 0 and 5x + 8y +2z + 14 = 0

The direction of line of intersection of plans is given by

Direction ratios of line of intersection is (0, −1, 9)

Therefore, angle between plane x + y + z = 5 and line or intersection is θ.

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.

...