Question

The point of the form (a,-a) where a is not equal to zero lies on the line (write equation of line)…………..​

Answer 1

Answer:

Hence, the point (a,-a) always lies on the line x+y=0.

Answer 2

Answer:

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x+y=0

Step-by-step explanation:

For the line x+y=0

For the line x+y=0 Sum of x and y coordinates should be 0

For the line x+y=0 Sum of x and y coordinates should be 0Substituting co ordinates of the point (a,−a) in the equation x+y=0

For the line x+y=0 Sum of x and y coordinates should be 0Substituting co ordinates of the point (a,−a) in the equation x+y=0We get a+(−a)=a−a=0

For the line x+y=0 Sum of x and y coordinates should be 0Substituting co ordinates of the point (a,−a) in the equation x+y=0We get a+(−a)=a−a=0LHS = RHS

For the line x+y=0 Sum of x and y coordinates should be 0Substituting co ordinates of the point (a,−a) in the equation x+y=0We get a+(−a)=a−a=0LHS = RHSHence, (a,−a) satisfies x+y=0

Hope it helps you

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