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The lines joining the origin to the poin...

The lines joining the origin to the point of intersection of The lines joining the origin to the point of intersection of `3x^2+m x y=4x+1=0` and `2x+y-1=0` are at right angles. Then which of the following is not a possible value of `m ?` `-4` (b) 4 (c) 7 (d) 3

A

-4

B

4

C

7

D

3

Text Solution

Verified by Experts

The correct Answer is:
1,2,3,4
The equation of the lines joining the origin to the points of intersection of the given lines is
`3x^(2)+mxy-4x(2x+y)+(2x+y)^(2)=0` (by homogenization)
or `x^(2)=mxy-y^(2)=0`
which are perpendicular for all values of m.
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