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Question

Read the following statements carefully and select the correct option.
Statement-I : The graph of the linear equation x+2y=6 passes through (8,−1).
Statement II : Every point which satisfies the linear equation is a solution of the equation.

A
Both Statement-I and Statement-II are true.
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B
Only Statement-I is true.
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C
Only Statement-II is true.
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D
Neither Statement-I nor Statement-II are true.
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Solution

The correct option is A Both Statement-I and Statement-II are true.
Consider statement I:

Put the given point in equation,

8+2(1)=82=6=RHS

Hence given point satisfies the equation of line.
Hence statement I is true

Consider statement II:
Every point lying on the line satisfies the equation of line

As we see from statement I that the point that satisfies the equation of the line is a solution.

Hence statement II is true

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