Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityContinuity- MiscellaneousMedium2 minQB

MathematicsMediuminteger

The number of two digits numbers ' $a$ ' whose sum of digits is 9 such that

Here [.] denotes the greatest integer function

Answer:

Solution:

Clearly $(\frac{( x - 2 ) ^{3}}{a}) = 0, x \in [4, 6]$

$(x - 2)^{3} \in (8, 64) \Rightarrow a > 64 \Rightarrow a = 72, 81, 90$

No of values

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Continuity- Miscellaneous

⏱ 2mℹ️ Source: QB

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