The cost of 2 kg of apples and 1 kg grapes on a day was bound to be Rs. 160. After a month the cost of 4 kg apples and 2 kg grapes is Rs. 300. Represent this situation algebraically and geometrically. The two linear equations are perpendicular lines. Is it true or false?

# The cost of 2 kg of apples and 1 kg grapes on a day was bound to be Rs. 160. After a month the cost of 4 kg apples and 2 kg grapes is Rs. 300. Represent this situation algebraically and geometrically. The two linear equations are perpendicular lines. Is it true or false?

1. A
True
2. B
False

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### Solution:

Let us assume the cost of the one kg of apple be ‘x’
The cost of one kg of grapes is ‘y’.
Algebraic equation for 2 kg apple and 1 kg of grapes Algebraic equation for 4kg apples and 2kg grapes Subtract the equation 2 and 1 we get From equation (1) X 60 50 70 40 60 20
From equation (3) X 60 50 70 30 50 10
Let us plot the system of linear equations using the obtained values of x and y-coordinates. Based on the graph, the two linear equations represent parallel lines.
Hence, the statement is false.

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