Area of Polygon Using Coordinates

Q. If P is a point on the ellipse $9x^2+36y^2=324$ whose foci are S and S’. Then PS + PS’ =

1. 
2. 
3. 
4. 

Q. Solve the inequalities for real $x$.

Q.

The area enclosed by 2|x| + 3|y| $\le$ 6 is

1. 3 sq units

2. 4 sq units

3. 12 sq unit

4. 24 sq units

Q.

Find the equation of an ellipse whose vertices are at $(\pm 5,0)$ and foci at $(\pm 4,0).$

Q. Solve the inequalities
$-3\le 4-\frac{7x}{2}\le 18$

Q. Solve the inequalities
$-12<4+\frac{3x}{5}\le 2$

Q. Solve the following inequalities graphically in two-dimensional plane:
$x-y\le 2$

Q. Solve the following inequalities graphically in two-dimensional plane:

Q. Solve the given inequalities graphically:

Q. Solve the system of inequalities graphically

Q. Solve the inequalities
$7<\frac{(3x+11)}{2}\le 11$