Questions
The lines joining the origin to the points of intersection of and are at right angles for
a
λ=−4
b
λ=4
c
λ=7
d
all values of λ
detailed solution
Correct option is D
Equation of the lines joining the origin to thepoints of intersection of the given lines is 3x2+λxy−4x(2x+y)+1⋅(2x+y)2=0(Making the equation of the pair of lines homogeneous withthe help of the equation of the line)⇒ x2−λxy−y2=0which are perpendicular for all values of l as the productof the slopes is -1Talk to our academic expert!
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All chords of the curve , which subtend a right angle at the origin, pass through the fixed point. The square of its distance from the origin is
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