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A straight line through the origin 'O' m...

A straight line through the origin 'O' meets the parallel lines `4x +2y= 9` and `2x +y=-6` at points P and Q respectively. Then the point 'O' divides the segment PQ in the ratio

A

`1:2`

B

`3:4`

C

`2:01`

D

`4:3`

Text Solution

Verified by Experts

The correct Answer is:
B
Let any line through the origin meets the given lines at P and Q as shown in figure.

Now, from the figure, triangles OAP and OCQ are similar.
Therefore,
`(OP)/(OQ) = (OA)/(OC) = (9//4)/(3) = (3)/(4)`
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