The lines joining the origin to the point of intersection of 3x2+mxy−4x+1=0 and 2x+y−1=0 are at right angles. Then all possible values of m lie in the interval
A
R
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B
[1,2]
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C
ϕ
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D
(1,2]
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Solution
The correct option is AR Equation of the lines joining the origin to the points of intersection of the given lines is 3x2+mxy−4x(2x+y)+1(2x+y)2=0
(by homogenization) ⇒x2−mxy−y2=0
which are perpendicular for all values of m.