LIVE Course for free

Rated by 1 million+ students
Get app now
+3 votes
in Mathematics by (67 points)
closed by

and make equal angles with the two straight lines 3x = 4y+7 and 12y = 5x+6 .





2 Answers

+4 votes
by (128k points)
selected by
Best answer

Solution to your question:

+2 votes
by (65.3k points)


The line passing through the point=(4,5)

The line equally inclined to the lines 3x=4y+7,5y=12x+6  means the angle between the required line and the two lines is equal assume the slop of the required equation is m1

The slope of the equation 3x=4y+7=>y=(3x)/4-7/4 so the slope of the equation is ¾

The slope of the equation 5y=12x+6=>y=(12x)/5+6/5 so the slope of the equation is 12/5

When slope of the two equations are formula for finding the angle between them is






    =>m1=+1   or -1

so the two equations incline the given ttwo equations equally

those are passing throught he point  (4,5) and having the slope 1  and   -1

Those are y-x+1=0  and y+x-9=0

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.