Question

If (1,p/3) is the mid- point of the Line segment joining the point (2,0) and (0,2/9), then show that the line 5x+3y+2=o pass through the point (-1,3p) ?

Answer 1

Answer:

Step-by-step explanation:

Midpoint of line segment joining (0,2) and (0,2/9) will be (x,y)

Therefore,

Now in question we have already given that

x = 1 and y = p/3. So to find value of p we have to use equation of y. i.e.

So we get value of p. Now put it in (-1,3p)

We will get (-1,10)

So Now we have to prove that 5x+3y+2=0 is passing through (-1,10)

So put this point in equation of line.

But -5+32 ≠ 0

So point (-1,3p) where p = 10/3 does not lies on line 5x+3y+2=0

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