Q82.Consider f(x) = tan−1(√1+sin ), point (1) ( π6 , 0) (2) ( π4 , 0) (3) (0, 0) (4) (0, 2π3 )
What This Question Tests
This question requires simplifying a trigonometric function using identities, finding its derivative, and then determining the equation of the normal line at a given point to check which of the provided points it passes through.
Concepts Tested
Formulas Used
tan⁻¹(tan θ) = θ
√(1+sin x) = |sin(x/2)+cos(x/2)|
Equation of normal y-y₁ = (-1/m_t)(x-x₁)
📚 NCERT Sections This Tests
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Equation of normal, derivatives of inverse trigonometric functions
- Year
- 2016
- Shift
- 03 Apr
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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