Q70.The number of real roots of the equation tan−1 √x(x + 1) + sin−1 √x2 + x + 1 = π4 is: (1) 1 (2) 2 (3) 4 (4) 0
What This Question Tests
The question requires careful consideration of the domain of inverse trigonometric functions and using appropriate identities to solve the equation, leading to determination of real roots.
Concepts Tested
Formulas Used
tan⁻¹x + sin⁻¹y = π/4
tan⁻¹A + tan⁻¹B = tan⁻¹((A+B)/(1-AB))
Domain restrictions for tan⁻¹√f(x) and sin⁻¹√f(x)
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Properties of Inverse Trigonometric Functions
- Year
- 2021
- Shift
- 20 Jul Shift 1
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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