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
108 views
in Mathematics by (73.5k points)
closed by
`y=sqrt(3)x+8` और `y=(1)/sqrt(3)x+7` रेखाओ के मध्यस्य कोण का मान ज्ञात कीजिए!

1 Answer

0 votes
by (70.1k points)
selected by
 
Best answer
माना दी गयी रेखाओ के बीच का कोण `theta` है, तब
`y=sqrt(3)x+8` और `y=(1)/sqrt(3)x+7` की तुलना क्रमश: `y_(2)=m_(2)x+c_(2)` से करने पर,
`m_(1)=sqrt(3)` तथा `m_(2)=(1)/(sqrt(3))`
अब `tan theta=(m_(1)-m_(2))/(1+m_(1)m_(2))`
`=(sqrt(3)-(1)/sqrt(3))/(1+sqrt(3)(1)/sqrt(3))=((3-1)/(sqrt(3)))/(1+1)`
`=(2)/(2sqrt(3))=(1)/sqrt(3)`
`tan theta=tan 30^(@)`
`theta =30^(@)`.

Related questions

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

...