If $\arg\left(\frac{z-(1+i)}{z-(3+4i)}\right)=0$ Then locus of $z$ is:
Step-by-Step Solution
Key Concept: Applying binomial expansion with alternating signs gives compact forms for combinatorial sums.
Option (B): $^3C_x \times [3^7 - ^1C_1 2^7 + ^2C_2] = 10 \times [2187 - 384 + 3] = 18060$. This uses the binomial theorem with inclusion-exclusion to compute a weighted sum of binomial coefficients.
Correct Answer: [A-q] [B-s] [C-r] [D-p]