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Question

# A line represented by x+y=5 intersects the y-axis at (0,5) and the x-axis at (5,0). The point also lies on the same line

A
(3,2)
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B
(3,4)
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C
(4,3)
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D
(4,2)
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Solution

## The correct option is A (3,2)Since, 5+0=5 0+5=5 The equation x+y=5 satisfies the points (5,0) and (0,5). All we have to do now is find the point that satisfies the given equation. (4,3) does not satisfy the given equation since, 4+3=7. (4,2) does not satisfy the given equation since, 4+2=6. (3,4) does not satisfy the given equation since, 3+4=7. (3,2) satisfies the given equation since, 3+2=5 and hence, it lies on the given line.

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