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Question

Mathematics Question on introduction to three dimensional geometry

If a plane passes through the points (−1,k,0),(2,k,−1),(1,1,2)(-1, k, 0),(2, k,-1),(1,1,2) and is parallel to the line x−11=2y+12=z+1−1\frac{x-1}{1}=\frac{2 y+1}{2}=\frac{z+1}{-1}, then the value of k2+1(k−1)(k−2)\frac{k^2+1}{(k-1)(k-2)} is

A

136\frac{13}{6}

B

517\frac{5}{17}

C

175\frac{17}{5}

D

613\frac{6}{13}

Answer

136\frac{13}{6}

Explanation

Solution

The correct option is (A) : 136\frac{13}{6}