Question
Let × be a binary operation on set Q - {1} defind by a × b = a + b - ab : a, b ∈ Q - {1}. Then × is:
- Commutative.
- Associative.
- Both (a) and (b).
- None of these.
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Let $P$ and $Q$ be the points of intersection of the curve $C$ and the $y$-axis. If normals at $P$ and $Q$ on the curve $C$ intersect $x$-axis at points $R$ and $S$ respectively, then the length of the line segment $RS$ is