Question

The line passing through the points $10\overline{i}+3\overline{j},12\overline{i}+5\overline{j}$ also passes through the point $a\overline{i}+11\overline{j}$. Then $a=$

• A. $-8$
• B. $4$
• C. $18$
• D. $12$

Answer 1

Answer: (C)

$18$

Equation of line passing throught $A(10,3),B(12,5)$

$y-3=\frac{2}{2}(x-10)$

$\Rightarrow y-3=x-10$..........(i)

Equation (i) also passes through $(a,11)$

$\therefore y-3=x-10$

$\Rightarrow 8=a-10$

$\therefore a=18$