Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
253 views
in Coordinate Geometry by (43.4k points)
closed by

If x = 2 – α and y = 2 + α in a solution of 5x + 3y – 7 = 0 and x = 2β + 1 and y = β – 1 in a solution of 3x – 2y + 6 = 0 then find the value of α + β.

1 Answer

+1 vote
by (42.6k points)
selected by
 
Best answer

Given equation = 5x + 3y – 7 = 0 

x = 2 – α and y = 2 + α 

∴ 5(2 – α) + 3(2 + α) – 7 = 0 

⇒ 10 – 5α+ 6 + 3α – 7 = 0 

⇒ 9 – 2α = 0 

⇒ 2α = 9 ⇒ α = 9/2 = 4.5 

Given equation 3x – 2y + 6 = 0 

x = 2β + 1 and y = β – 1 

∴ 3(2β + 1)- 2(β – 1) + 6 = 0 

⇒ 6β + 3 – 2β + 2 + 6 = 0

⇒ 4β + 11 = 0 ⇒ β = -11/4

∴ α + β = 9/2 - 11/4 = \(\frac {18-11}{4} = \frac {7}{4}\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...