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)=8−2=‘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.