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Question

If a chord of solpe m of the circle x2+y2=4 touches the parabola y2=4x, then
(where [.] represents G.I.F)

A
least value of [m2]=0
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B
least value of [m]=0
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C
m,212212,
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D
m212,212
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Solution

The correct option is C m,212212,
Equation of tangent to the parabola with slope m will be
y=mx+1m
this will be the chord of the given circle
length of perpendicular from (0,0) will be less than radius
1m1+m2<24m4+4m21>0(m2212)(m2+2+12)>0m2212>0m,212212,

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