tmua 2020 Q18

tmua · Uk · paper2 1 marks Curve Sketching Multi-Statement Verification (Remarks/Options)

In this question, $\mathrm { f } ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ and $\mathrm { g } ( x ) = p x ^ { 3 } + q x ^ { 2 } + r x + s$ are cubic polynomials.
If $f ( x ) - g ( x ) > 0$ for every real $x$, which of the following is/are necessarily true?
I $a > p$ II if $b = q$ then $c = r$ III $d > s$
A none of them
B I only
C II only
D III only
E I and II only F I and III only G II and III only H I, II and III

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In this question, $\mathrm { f } ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ and $\mathrm { g } ( x ) = p x ^ { 3 } + q x ^ { 2 } + r x + s$ are cubic polynomials.

If $f ( x ) - g ( x ) > 0$ for every real $x$, which of the following is/are necessarily true?

I $a > p$\\
II if $b = q$ then $c = r$\\
III $d > s$

A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III

Paper Questions

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