Question
Download Solution PDFIf the line joining the two points (5, 4) and (-3, k) is parallel to the line kx – y + 11 = 0, then what is the value of ‘k’?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The line joining the two points (5, 4) and (-3, k) is parallel to the line kx – y + 11 = 0
Calculation:
Equation of line joining two points:
Slope of above line =
Another line:
kx – y + 11 = 0
y = kx + 11
Slope of above line = k
Both the lines are parallel:
m1 = m2
⇒ (4 – k)/8 = k
⇒ 4 – k = 8k
⇒ 4 = 9k
⇒ k = 4/9
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> 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, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.