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The point of the form (a,-a) always lies...

The point of the form (a,-a) always lies on the line

A

x=a

B

y= -a

C

y=x

D

x+y=0

Text Solution

Verified by Experts

Taking option (d), x+y=a(-a)=a-a=0 [since, give point is of the form (a,-a)]
Hence, the point (a,-a) always lies on the line x+y=0.
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NCERT EXEMPLAR-LINEAR EQUATION IN TWO VARIABLES-Linear Equation In Two Variables
  1. How many linear equations in x and y can be satisfied by x=1 and y=2 ?

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  2. The point of the form (a,a) always lies on

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  3. The point of the form (a,-a) always lies on the line

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  4. The point (0,3) lies on the graph of the linear equation 3x+4y=12.

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  5. The graph of the linear equation x+2y=7 passes through the point (0,7)...

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  6. The graph given below represents the linear equation x+y=0.

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  7. The graph given below represents the linear equation x=3.

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  8. The coordinates of points in the table represent some of the solu...

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  9. Every point on the graph of a linear equation in two variables does no...

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  10. The graph of every linear equation in two variables need not be a line...

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  11. Draw the graphs of linear equations y=x and y=-x on the same cartesian...

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  12. Determine the point on the graph of the linear equation 2x+5y=19 whose...

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  13. Draw the graph of the equation represented by a straight line which is...

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  14. Draw the graph of the linear equation whose solutions are represented ...

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  15. Write the linear equation such that each point on its graph has an ord...

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  16. If the point (3, 4) lies on the graph of 3y=ax+7, then find the value ...

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  17. Solve the equation 2x+1=x-3and represent the solution(s)on (i) the nu...

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  18. Find the solution of the linear equation x+2y =8 which represents a po...

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  19. For what value of c, the linear equation 2x+cy=8 has equal values of x...

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  20. Let y varies directly as x. If y=12 when x=4, then write a linear equa...

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