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For the following questions answer them individually
The contra positive of $$p \rightarrow(q \rightarrow r)$$ is equivalent to
If $$f(x) = \frac{x+1}{x-1}$$ for $$x \neq 1$$, then $$f o (f o f)(x) =$$
The equation of the straight line passing through the point (2 , -3) and making equal intercepts on the coordinate axes, is
$$\frac{1}{\sin 10^{\circ}} - \frac{\sqrt{3}}{\cos 10^{\circ}} =$$
When $$ax^{2} + bx + 2$$ is divided by $$x-1$$ and $$x+2$$ if the remainders are 6 and 0 respectively, then the quadratic equation formed with 'a' and 'b' as its roots is
If the system of equations $$cx+3y = c-3$$ and $$12x+cy =c$$ has infinitely many solutions, then the value of 'c' is
The sum of all the odd integers between 2 and 100 is
If in a geometric progression, the difference between $$5^{th}$$ term and $$4^{th}$$ term is 576 and the difference between its $$2^{nd}$$ term and first term is 9, then the $$6^{th}$$ term of that progression is
$$A = \begin{bmatrix}2 & 2 & 1 \\ 1 & 2 & 2 \\ 2 & 1 & 2 \end{bmatrix} \Rightarrow (Adj A)^{-1} =$$
The incenter of the triangle formed by the points (2 , 3) , (-2 ,-5) and (-4 , 6) is
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