Question
Question: If sum of coefficients in expansion of (1 + 2x)<sup>m</sup>& (2 + x)<sup>n</sup> are respectively 65...
If sum of coefficients in expansion of (1 + 2x)m& (2 + x)n are respectively 6561 & 243, then position of point (m, n) w.r.t. circle x2 + y2 – 4x – 6y – 32 = 0 is
A
Outside the circle
B
Inside the circle
C
On circle
D
None
Answer
Inside the circle
Explanation
Solution
Q sum of coefficient of (1 + 2x)m = 3m = 6561
Ž m = 8 similarly n = 5
\ s1 < 0 for (8, 5)