Question
Download Solution PDFFind the equation of the line which makes intercepts 4 and - 2 on the line x-axis and the y-axis respectively ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
If a line cuts the intercepts a and b on the X and Y – axis respectively, then the equation of such line is given as: \(\frac{x}{a} + \frac{y}{b} = 1\)
CALCULATION:
Given: The line makes intercepts of length 4 and - 2 on the line x-axis and the y-axis respectively.
As we know that intercept form of a line is given by: \(\frac{x}{a} + \frac{y}{b} = 1\)
Here, a = 4 and b = - 2
So, the required equation of line is: \(\frac{x}{4} - \frac{y}{2} = 1\)
⇒ x - 2y = 4
⇒ x - 2y - 4 = 0
Hence, option B is the correct answer.
Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.