Q65.The equation of the normal to the curve y = (1 + x)2y + cos2(sin−1 x) , at x = 0 is (1) y + 4x = 2 (2) y = 4x + 2 (3) x + 4y = 8 (4) 2y + x = 4
What This Question Tests
This question tests the ability to perform implicit differentiation on a complex function, evaluate the slope of the tangent at a specific point, and derive the equation of the normal.
Concepts Tested
Formulas Used
d/dx (uv) = u'v + uv'
d/dx (cos²(sin⁻¹x))
m_normal = -1/m_tangent
y - y₁ = m(x - x₁)
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Equation of normal to a curve
- Year
- 2020
- Shift
- 02 Sep Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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