Question

brainly moderators best users please answer The point of the form (p/2,p) always lies on the graph of the equation a) 2x=y b) x=y+2 c) x=2y d) x+2=y


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Answer 1

Answer:

Correct option is

D

x+y=0

For the point of the form (a,−a) to lie on the line, its co ordinates should satisfy the equation,

A) For the line x=a, 

There is no y-coordinate, so it is 0

Since the point (a,−a) have y=−a, it does not lie on the line.

B) For the line y=a, 

There is no x-value, so x coordinate is 0

Since the point (a,−a) have x=a=0, it does not lie on the line.

C) For the line y=x, 

Both x and y co ordinates should be equal

Since, co ordinates of the point (a,−a) are not equal, it does not lie on the line.

D) For the line x+y=0 

Sum of x and y coordinates should be 0

Substituting co ordinates of the point (a,−a) in the equation x+y=0

We get a+(−a)=a−a=0

LHS = RHS

Hence, (a,−a) satisfies x+y=0.

Hence, option D is correct.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Answer: 2y = x

You can put any value of p like If you put p = 2

Then point will be (1,2)

Which is also lies on the line.

y = 2x

I hope you are it

so a is correct