For the following questions answer them individually
The equation of the straight line passing through the point (2 , -3) and making equal intercepts on the coordinate axes, is
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
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
$$A = \begin{bmatrix}2 & 2 & 1 \\ 1 & 2 & 2 \\ 2 & 1 & 2 \end{bmatrix} \Rightarrow (Adj A)^{-1} =$$