The equation of the line which cuts off an intercept $3$ units on $OX$ and an intercept $-2$ units on $OY$ is:

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

The owner of a milk store finds that he can sell $980$ liters of milk each week at Rs $14$ per liter and $1220$ liters of milk each week at Rs $16$ per liter. Assuming a linear relationship between selling price and demand,how many liters could he sell weekly at Rs $17$ per liter?

The equations of the lines which make intercepts on the axes whose sum is $8$ and product is $15$ are

The number of possible straight lines passing through the point $(2,3)$,while forming a triangle with coordinate axes enclosing an area of $12 \text{ sq. units}$ is

In what ratio is the line segment joining the points $(-1, 1)$ and $(5, 7)$ divided by the line $x + y = 4$?