The number of lines passing through A (3, 4) and the sum of whose non-zero intercepts is zero is (are)

If $4ab = 3h^2$, then the ratio of the slopes of the lines represented by $ax^2 + 2hxy + by^2 = 0$ is...

A triangle has two fixed vertices A $(a, 0)$ and B$(0, b)$ . Let its third vertex C is moving along the line $x = y$. If $s$ is the area of triangle ABC, then $\dfrac{ds}{dx} =$

The equation of the line passing through the point of intersection of the lines $x + 2y + 6 = 0$ and $2x - y = 2$ and making an intercept 5 on the y-axis is