tmua 2018 Q11

tmua · Uk · paper2 1 marks Exponential Functions True/False or Multiple-Statement Verification

Consider the equation $2 ^ { x } = m x + c$, where $m$ and $c$ are real constants.
Which of the following statements is/are true?
I The equation has a negative real solution only if $c > 1$.
II The equation has two distinct real solutions if $c > 1$.
III The equation has two distinct positive real solutions if and only if $c \leq 1$.

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Consider the equation $2 ^ { x } = m x + c$, where $m$ and $c$ are real constants.

Which of the following statements is/are true?

I The equation has a negative real solution only if $c > 1$.

II The equation has two distinct real solutions if $c > 1$.

III The equation has two distinct positive real solutions if and only if $c \leq 1$.

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20