Q80.Let f be a composite function of x defined by f(u) = 1 , u(x) = x−11 . Then the number of points x u2+u−2 where f is discontinuous is : (1) 4 (2) 3 (3) 2 (4) 1
What This Question Tests
This question tests the ability to identify all points of discontinuity for a composite function, considering both where the inner function is undefined and where the outer function is undefined for the values taken by the inner function.
Concepts Tested
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
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.
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Discontinuity of Composite Functions
- Year
- 2013
- Shift
- 23 Apr Online
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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