The polar equation $\cos \theta + 7 \sin \theta = \frac{1}{r}$ represents a

The intercept of a line between the coordinate axes is divided by the point $(-5, 4)$ in the ratio $1 : 2$. The equation of the line will be:

The equation of the line passing through the point $(-3, 2)$ and parallel to the $x$-axis is:

$A$ graph is drawn between the $y-x$ axes. Which of the following equations is correct for the graph?

Find the value of $k$,if the line joining the points $(2, k)$ and $(3, 7)$ is parallel to the line joining points $(-2, 1)$ and $(3, 0)$.

If $p$ and $q$ are the $x$ and $y$-intercepts respectively of the line passing through the points $(a \cos \alpha, b \sin \alpha)$ and $(a \cos \beta, b \sin \beta)$,then $\frac{a^2}{p^2}+\frac{b^2}{q^2}=$