Tamil Nadu Board Solutions for Chapter: Two Dimensional Analytical Geometry, Exercise 2: Exercise

The normal boiling point of water is $100°C$ or $212°F$ and the freezing point of water is $0°C$ or $32°F.$ Find the linear relationship between $C$ and $F$.

Find the equation of the straight lines passing through $(8, 3)$ and having intercepts whose sum is $1$.

A straight line is passing through the point $A(1,2)$ with slope $\frac{5}{12}$. Find points on the line which are $13$ units away from $A.$

A family is using Liquefied petroleum gas (LPG) of weight $14.2$ kg for consumption. (Full weight $29.5$kg includes the empty cylinders tare weight of $15.3$kg.). If it is use with constant rate then it lasts for $24$ days. Then the new cylinder is replaced. Find the equation relating the quantity of gas in the cylinder to the days.

A family is using Liquefied petroleum gas (LPG) of weight $14.2$ kg for consumption. (Full weight $29.5$kg includes the empty cylinders tare weight of $15.3$kg.). If it is use with constant rate then it lasts for $24$ days. Then the new cylinder is replaced. Draw the graph for first $96$ days.

In a shopping mall there is a hall of cuboid shape with dimension $800\times 800\times 720$ units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure.

Find the value of $k$, if the minimum total length of the escalator is $k$ units.

In a shopping mall there is a hall of cuboid shape with dimension $800\times 800\times 720$ units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure.

Find the heights at which the escalator changes its direction.

In a shopping mall there is a hall of cuboid shape with dimension $800\times 800\times 720$ units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the slope of the escalator at the turning point.