Q80.If the function g (x) = {k√xmx ++21 ,, 30 <≤xx ≤3≤5 (1) 4 (2) 2 (3) 16 (4) 10 5 3
What This Question Tests
This question assesses the understanding of conditions for continuity and differentiability of a piecewise-defined function at the point where the definition changes. It involves solving a system of two linear equations for the unknown constants.
Concepts Tested
Formulas Used
For continuity at x=a, lim(x→a⁻)f(x) = lim(x→a⁺)f(x) = f(a)
For differentiability at x=a, f'(a⁻) = f'(a⁺)
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
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.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
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.
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Differentiability of Piecewise Functions
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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