Question

x + y = 4 and x - y = 2


1. To verify the conditions for consistency of a system of linear equations in two variables by graphical method

2. To verify that the given sequence is an arithmetic progression by paper cutting and pasting method

3. To verify that the sum of first n-natural numbers is (+) by graphical method

4. To verify Basic Proportionality theorem using parallel line board and triangle cut-outs

5. To verify the Pythagoras Theorems by the method of paper folding , cutting and pasting

6. To verify “ The ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides” by performing an activity.

7. To verify using the method of paper cutting, pasting and folding that the lengths of tangents drawn from an external point are equal

8. To obtain the formula for area of the circle by coiling method.

9. To make a clinometers and use it to measure the height of an object

10. To compare the volumes of two right circular cylinders which are formed from two rectangles sheets with same dimension

11. To get familiar with the idea of probability of an event through a double colour card experiment

Answer 1

Answer:

$x + y = 4 \: \: \: \: \: i \\ \\ x - y = 2 \: \: \: \: \: \: ii \\ \\ \sf \: adding \: i \: and \: ii \: we \: get \: x = 3 \: \\ \sf \: and \: putting \: x \: in \: i \: or \: ii \: we \: get \: y = 1$