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
813 views
in Straight Lines by (29.6k points)
closed by

Find the co-ordinates of the points of intersection of the lines represented by x2 – y2 – 2x + 1 = 0.

1 Answer

+1 vote
by (34.5k points)
selected by
 
Best answer

Consider, x2 – y2 – 2x + 1 = 0

∴ (x2 – 2x + 1) – y2 = 0

∴ (x – 1)2 – y2 = 0

∴ (x – 1 + y)(x – 1 – y) = 0

∴ (x + y – 1)(x – y – 1) = 0

∴ separate equations of the lines are 

x + y – 1 = 0 and x – y +1 = 0.

To find the point of intersection of the lines, we have to solve

x + y – 1 = 0 … (1) 

and x – y + 1 = 0 … (2)

Adding (1) and (2), we get,

2x = 0 ∴ x = 0

Substituting x = 0 in (1), we get,

0 + y – 1 = 0 ∴ y = 1

∴ coordinates of the point of intersection of the lines are (0, 1).

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

...