For the following questions answer them individually
In a market survey on 1000 consumers, 720 consumers liked product A and 450 liked product B. The least number of consumers who liked both the products is
If $$f : ℝ \rightarrow ℝ$$ is defined by $$f(x) = 2x + \mid x \mid$$ and $$f(3x) - f(-x) - 4x = kf(x)$$, then $$k =$$
If the point ( -2, 3) divides the portion of the line between the coordinate axes in the ratio 2 : 3, then the equation of that line is
The equation of a line passing through the point (2, 3) and making an a1igle $$45^\circ$$ with the line $$3x - y + 5 = 0$$ is
For $$0^\circ < \theta < 90^\circ$$, which one of the following cannot be the value of $$\tan \theta + \cot \theta$$?