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
409 views
in Mathematics by (64.1k points)
closed by
Solve the inequation `2^(1/(cos^2 x))sqrt(y^2-y+1/2)<= 1`

1 Answer

0 votes
by (61.1k points)
selected by
 
Best answer
`2^(1/cos^(2)x) sqrt(y^(2)-y+1//2) le1`…………(i)
`2^(1/(cosp^(2)x)) sqrt((y-1/2)^(2)+(1/2)^(2)) le1`
Miniumum value of `2^((1)/(cos^(2)x)=2`
Minimum value of `sqrt((y-1/2)^(2)+(1/2)^(2))=1/2`
`rArr` Minimum value of `2^(1/(cos^(2)x)) sqrt(y^(2)-y+1/2)` is 1
`rArr` (i) is possible when `2^(1/(cos^(2)x)) sqrt((y-1/2)^(2)+(1/2)^(2))=1`
`rArr cos^(2)x=1` and `y=1/2 rArr cosx = +1 rArr x=npi`, where `n in I`,
Hence, `x=npi, n in I` and `y=1//2`.

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

...