Q80.Let f(x) = { max(|x|,8 −2|x|,x2), 2 <|x||x|≤2≤4 differentiable. Then S (1) equals {−2, −1, 0, 1, 2} (2) equals {−2, 2} (3) is an empty set (4) equal {−2, −1, 1, 2}
What This Question Tests
This question assesses the understanding of differentiability for a function defined as the maximum of several functions involving absolute values and polynomial terms, requiring careful analysis of intersection points and derivative values.
Concepts Tested
Formulas Used
Left Hand Derivative
Right Hand Derivative
📚 NCERT Sections This Tests
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
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.
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Differentiability of functions
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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