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The coordinates of points in the table ...

The coordinates of points in the table

represent some of the solutions of the equation x-y+2=0.

Text Solution

Verified by Experts

False
The coordinates of points are `(0,2),)(1,3),(2,4),(3,-5) " and " (4,6)`.
Given equation is x-y+2=0
At point (0,2) `0-2+2=0 implies 0=0`, it satisfies.
At point (1,3), `1-3+2=3-3=0 implies 0=0`, it satisfies.
At point (2,4), `2-4+2=4-4=0 implies 0=0`, it satisfies.
At point `(3,-5), " " 3-(-5)+2=3+5+2=10 ne 0`, it does not satisfy.
At point `(4,6), " " 4-6+2=6-6=0 implies 0=0`, it satsisfies.
Hence, point (3,-5) does not satisfy the equation.
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Knowledge Check

  • Which of the following points in the xy-plane represents the center of the circle defined by the equation x ^(2) +y ^(2) -4x-8y-16 =0 ?

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