Question
Download Solution PDFIf the distance between the points (3, 4) and (a, 2) is 8 units then find the value of a
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Let A (x1, y1) and B (x2, y2) be any two points in the XY – plane, then the distance between A and B is given by:
CALCULATION:
Given: The distance between the points (3, 4) and (a, 2) is 8 units
Here, we have to find the value of a.
As we know that, the distance between two points A (x1, y1) and B (x2, y2) is given by
⇒
By squaring both the sides we get
⇒ (a - 3)2 + 4 = 64
⇒ a2 + 9 - 6a - 60 = 0
⇒ a2 - 6a - 51 = 0
⇒
Hence, option A is the correct answer.
Last updated on Jul 11, 2025
->Indian Airforce Agniveer (02/2026) Online Form Link has been activated at the official portal. Interested candidates can apply between 11th July to 31st July 2025.
->The Examination will be held 25th September 2025 onwards.
-> Earlier, Indian Airforce Agniveer Group X 2025 Last date had been extended.
-> Candidates applied online from 7th to 2nd February 2025.
-> The online examination was conducted from 22nd March 2025 onwards.
-> The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination).
-> The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000.
-> This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.