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
2.2k views
in Lines and Angles by (47.3k points)
closed by

Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other.

1 Answer

+1 vote
by (49.8k points)
selected by
 
Best answer

Given: Let lines l and m are two intersecting lines. Again, let n and p be another two lines which are perpendicular to the intersecting lines meet at point D.

To prove: Two lines n and p intersecting at a point.

Proof: Suppose we consider lines n and p are not intersecting, then it means they are parallel to each other i.e., n || p …(i)

Since, lines n and pare perpendicular to m and l, respectively.

But from Eq. (i) n || p it implies that l || m.

Hence, it is a contradiction.

Thus, our assumption is wrong.

Therefore, lines n and p intersect at a point.

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

...