Math, asked by samharsh, 1 year ago

(i) The line segment joining the points (5,-4) and (2,2) is divided by the point Q in the ratio 1:2. Does the line x-2y=0 contain Q?

Answers

Answered by Vegeta

$x_{Q} = \frac{1.2 + 2.5}{1+2} = 4$
$y_{Q} = \frac{1.2 + 2.-4}{1+2} = -2$
coordinates of Q are (4,-2)
on applying this on the line eqn.

4 - 2.(-2) = 0
So the answer is yes

sony10: other than this method we can use the section formula right...

sony10: use it for getting answer easier... ok

Answered by sony10

so the answer is yes hope this helps

Attachments:

sony10: section formula Q=[lx2+mx1/l+m,ly2+my1/l+m]

sony10: Q=[1(2)+2(5)/1+2,1(2)+2(-4)/1+2]

sony10: [2+10/3,2-8/3]

sony10: [12/3,-6/3]

sony10: [4,-2] next step is

sony10: substituting the values in the equation x-2y=0

sony10: 4-2(-2)=0 => 4+4 is not equal to 0

sony10: so answer is no

sony10: hope this helps

sony10: plzzz mark as brainliest

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