Math, asked by kpawanyadav007, 11 months ago

draw the graph for x-y=6​

Answers

Answered by ruhaanrawal
0

length of seg AB is 6√2 unit

area of ΔAOB is 18 sq. unit

Step-by-step explanation:

The line x+y=6 intersects x-axis at (a,0). Substituting this in the equation we have a=6.

Similarly, The line x+y=6 intersects x-axis at (0,b). Substituting this in the equation we have b=6

∴ The line intersects x and y axes at A(6,0) and B(0,6).

The length of the line joining points (x₁,y₁) and (x₂,y₂) is given by the distance formula,

So, the length of AB =

Area of triangle = (1/2) * Base * Height

ΔAOB is right angled with OA as base and OB as height.

The lengths of OA and OB are 6 units each.

∴Area of ΔAOB = (1/2) * 6 *6 = 18 sq. units

Hence,

length of seg AB is 6√2 unit and

area of ΔAOB is 18 sq. unit

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