Q71.If the domain of the function sin−1 ( 3x−222x−19 ) + loge ( 3x2−8x+5x2−3x−10 ) (1) 100 (2) 95 (3) 97 (4) 98
What This Question Tests
This question tests the ability to find the domain of a composite function involving both inverse trigonometric and logarithmic functions by solving inequalities derived from their domain restrictions.
Concepts Tested
Formulas Used
Domain of sin⁻¹(x) is [-1, 1]
Domain of log(x) is x > 0
📚 NCERT Sections This Tests
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Domain of a function
- Year
- 2024
- Shift
- 04 Apr Shift 1
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions and Class 11 Mathematics Ch 2: Relations and Functions
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