Question
Download Solution PDFযদি (x - 1)2 + (y - 2)2 = (x – 1) (y - 2) হয়, x এবং y পূর্ণসংখ্যা হয়, তাহলে 2x + 3y এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
(x - 1)2 + (y - 2)2 = (x – 1) (y - 2)
ধারণা/সূত্র::
(x – y)2 = k2
(x – y) = k or (–k)
x = (k + y) or (y – k)
গণনা:
(x -1)2 + (y - 2)2 = (x – 1) (y - 2)
ধরে,
⇒ (x – 1)2 = (x – 1) (y – 2)
⇒ (x – 1) = (y – 2)
⇒ x – y = -2 + 1
⇒ x – y = (-1) ----(1)
ধরে,
⇒ (y – 2)2 = (x – 1) (y – 2)
⇒ (y – 2) = (x – 1)
⇒ x – y = -2 + 1
⇒ x – y = (-1) ----(2)
ধরি, y = 2 এবং x = 1, অতএব
⇒ 1 – 2 = (-1)
(-1) = (-1) (প্রমাণিত)
সুতরাং,
2x + 3y
⇒ 2 × 1 + 3 × 2
⇒ 2 + 6
⇒ 8
Last updated on Jun 11, 2025
-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.
-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in
-> Railway Recruitment Board activated the RRB ALP application form 2025 correction link, candidates can make the correction in the application form till 31st May 2025.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here