Q78.If domain of the function loge( 6x2+5x+12x−1 ) cos−1( 2x2−3x+43x−5 ) is is equal to JEE Main 2023 (08 Apr Shift 2) JEE Main Previous Year Paper
What This Question Tests
This multi-concept question tests the ability to find the domain of a function involving both logarithmic and inverse trigonometric functions by solving multiple inequalities simultaneously.
Concepts Tested
Formulas Used
log(f(x)) -> f(x) > 0
cos^-1(g(x)) -> -1 <= g(x) <= 1
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Domain of functions (logarithmic and inverse trigonometric)
- Year
- 2023
- Shift
- 08 Apr Shift 2
- Q Number
- Q78
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions; Class 11 Mathematics Ch 2: Relations and Functions
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