The quadratic equations $${x^2} - 6x + a = 0$$ and $${x^2} - cx + 6 = 0$$ have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

The conjugate of a complex number is $${1 \over {i - 1}}$$ then that complex number is :

The line passing through the points $$(5,1,a)$$ and $$(3, b, 1)$$ crosses the $$yz$$-plane at the point $$\left( {0,{{17} \over 2}, - {{ - 13} \over 2}} \right)$$ . Then

In the circuit below, $$A$$ and $$B$$ represent two inputs and $$C$$ represents the output.

The circuit represents