If the line segment joining the points (1, 0) and (0, 1) subtends an angle of 45° at a variable point P(x, y), then the equation of the locus of P is (where x ≠ 0, 1):

Question

Mathematics · Coordinate Geometry

If the line segment joining the points (1, 0) and (0, 1) subtends an angle of 45° at a variable point P(x, y), then the equation of the locus of P is (where x ≠ 0, 1):

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Share:

Correct answer

(x2 + y2 - 1)(x2 + y2 - 2x - 2y + 1) = 0

Download Single Question PDF

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Share with Friends & Study Groups

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Coordinate Geometry?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Coordinate Geometry MCQs →

Recommended practice questions in Mathematics · Coordinate Geometry

Browse More Mathematics →

1

Which Indian independence movement leader was primarily known for his philosophy and practice of non-violent civil disobedience?

Solve Question→

2

Who gave the call for 'Do or Die' during the Quit India Movement in 1942?

Solve Question→

3

Which of the following revolutionary pairs were imprisoned together in Cellular Jail and faced harsh conditions, contributing significantly to the Indian independence movement?

Answer 1

x2 + y2 = 4

Answer 2

x2 + y2 + 2x - 2y + 1 = 0

Answer 3

(x2 + y2 - 1)(x2 + y2 + 2x + 2y + 1) = 0

Answer 4

(x2 + y2 - 1)(x2 + y2 - 2x - 2y + 1) = 0

If the line segment joining the points (1, 0) and (0, 1) subtends an angle of 45° at a variable point P(x, y), then the equation of the locus of P is (where x ≠ 0, 1):

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

If the line segment joining the points (1, 0) and (0, 1) subtends an angle of 45° at a variable point P(x, y), then the equation of the locus of P is (where x ≠ 0, 1):

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions