Day 413: JEE Mains Maths

1. A.
   9
2. B.
   11
3. C.
   7
4. D.
   1

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1. A.
   10
2. B.
   36
3. C.
   43
4. D.
   60

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1. A.
   $(x,y) \in R \Leftrightarrow 0 < |x| - |y| \leq 1$ is neither transitive nor symmetric.
2. B.
   $(x,y) \in R \Leftrightarrow 0 < |x - y| \leq 1$ is symmetric and transitive.
3. C.
   $(x,y) \in R \Leftrightarrow |x| - |y| \leq 1$ is reflexive but not symmetric.
4. D.
   $(x,y) \in R \Leftrightarrow |x - y| \leq 1$ is reflexive and symmetric.

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1. A.
   $\frac{7}{45}$
2. B.
   $\frac{8}{45}$
3. C.
   $\frac{14}{45}$
4. D.
   $\frac{28}{45}$

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