If 1,p/3 is the mid point of the line segment joining the points (2,0) and (0,2/9),then show that the line 5x+3y+2=0 passes through the point (-1,3p)
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heyyyy!!
Midpoint of the line segment joining points (2,0) and (0,2/9) will be
[(2+0)/2 , (0+2/9)/2] = (1,1/9)
As it is given that 1,p/3 is the mid point. so
p/3 = 1/9
i.e. p=1/3
Now we have to show that ( -1,3p) = (-1,1) passes through 5x+3y+2=0. so putting the value of x and y as -1 and 1 respectively in the equation, Taking Left Hand side:
= 5*(-1)+3(1)+2
= -5+3+2
= -5+5
= 0 that is equal to the Right hand side
hence proved!!
Midpoint of the line segment joining points (2,0) and (0,2/9) will be
[(2+0)/2 , (0+2/9)/2] = (1,1/9)
As it is given that 1,p/3 is the mid point. so
p/3 = 1/9
i.e. p=1/3
Now we have to show that ( -1,3p) = (-1,1) passes through 5x+3y+2=0. so putting the value of x and y as -1 and 1 respectively in the equation, Taking Left Hand side:
= 5*(-1)+3(1)+2
= -5+3+2
= -5+5
= 0 that is equal to the Right hand side
hence proved!!
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