tmua 2018 Q7

tmua · Uk · paper1 1 marks Binomial Theorem (positive integer n) Determine Parameters from Conditions on Coefficients or Terms

The non-zero constant $k$ is chosen so that the coefficients of $x ^ { 6 }$ in the expansions of $\left( 1 + k x ^ { 2 } \right) ^ { 7 }$ and $( k + x ) ^ { 10 }$ are equal.
What is the value of $k$ ?
A $\frac { 1 } { 6 }$
B 6
C $\frac { \sqrt { 6 } } { 6 }$
D $\sqrt { 6 }$
E $\frac { \sqrt { 30 } } { 30 }$
F $\sqrt { 30 }$

..... 9

The non-zero constant $k$ is chosen so that the coefficients of $x ^ { 6 }$ in the expansions of $\left( 1 + k x ^ { 2 } \right) ^ { 7 }$ and $( k + x ) ^ { 10 }$ are equal.

What is the value of $k$ ?

A $\frac { 1 } { 6 }$

B 6

C $\frac { \sqrt { 6 } } { 6 }$

D $\sqrt { 6 }$

E $\frac { \sqrt { 30 } } { 30 }$

F $\sqrt { 30 }$

Paper Questions

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