Question
Download Solution PDFWhat is the equation of the circle whose diameter is 10 cm and the equations of two of its diameters are x+y=0 and x−y=0?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given two diameters of the circle are along the lines x + y = 0 and x - y = 0. The center of the circle is at their intersection.
We have,
Substitute into x + y = 0:
Thus, the center is (0, 0).
Also radius,
the equation of the circle with center (0,0) and radius 5 is
Hence, the correct answer is Option 2.
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.