Q81.The tangent at the point (2, −2) to the curve, x2y2 −2x = 4(1 −y) does not pass through the point: (1) (−2, −7) (2) (8, 5) (3) (−4, −9) (4) (4, 13 )
What This Question Tests
This question requires finding the equation of the tangent to an implicitly defined curve at a given point, and then checking which of the provided points does not lie on this tangent line. It tests implicit differentiation and straight line equation skills.
Concepts Tested
Formulas Used
d(uv)/dx = u dv/dx + v du/dx
m = dy/dx
y - y₁ = m(x - x₁)
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9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
9.15 — Apply Mirror Equation And The Condition:
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9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Tangents and Normals
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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