Question
Download Solution PDFWhat is the reflection of the point (-1, 3) in the line x = -4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the reflected point be (x, y).
Then the midpoint of (-1, 3) and (x, y) i.e. [(x-1)/2, (y+3)/2] must lie on the line x = -4.
⇒ (x – 1) / 2 = -4
⇒ x = -8 + 1 = -7
Since the line joining the original and the reflected point in perpendicular to x = -4, hence its slope will be equal to 0.
⇒ [y – 3]/[(-7) – (-1)] = 0
⇒ y – 3 = 0
⇒ y = 3
∴ The reflected point is (-7, 3).
Last updated on Jun 11, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.