Question

Solve the pair of linear equations x + 2 y + 2 0and
3 x + 2 y =0 graphically. Shade the
triangular region represented by the given equations and the y-axis. Also find the area
of this region.​

Answer 1

Answer:

x−y+1=0

x−y=−1 ...(i)

3x+2y−12=0

3x+2y=12 ...(ii)

x−y=−1

y=1+x

x 0 −1

y 1 0

Plot (0,1) and (1,2) on graph and join them to get eqn (i)

For 3x+2y=12

⇒2y=12−3x

⇒r=

2

12−3x

x 0 4

y 6 0

Plot point (0,6) and (4,0) on graph and join them to get eqn (ii)

△ABC is the required triangle with coordinates of A as (2,3),B(−1,0) and C(4,0).

solution

Answer 2

The dimensions of a room are 6 m 75 cm, 4 m 50 cm and 2 m 25 cm. Find the length of the largest measuring rod which can measure the dimensions in exact number of time