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For the following questions answer them individually
What is the contrapositive of the following statement?
'If two triangles are congruent, then they are similar'
When is the statement $$(\sim p) \wedge q$$ is true?
In a group of athlete in a school, 21 are on basket ball team, 26 are on hockey team and 29 are on foot ball team. If 14 play hockey and basket ball, 12 play foot ball and basket ball, 15 play hockey and foot ball and 8 play all the three how many play only foot ball?
If the function given by $$f(x) = x+2$$ with domain $$\left\{x : 2 \leq x \leq 5\right\}$$, then the intervals of domain and range of $$f^{-1}$$ are respectively
If $$A = \left\{1, 2, 3 \right\}$$ and R is the relation given by
  $$R = \left\{ (1, 1), (2, 2), (3, 3), (1, 2), (2, 1) \right\}$$, then
If A = (2, 3) and B = (4, 5) then slope of line AB is
Equation of line which is parallel to $$2x + 3y = 4$$ is
If $$13 \sin \theta = 12$$ and $$\theta$$ is acute then $$\frac{\cosec \theta + \cot \theta}{\tan \theta + \sec \theta} =$$
$$\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$$ = _____
