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Question

The slope of the line touching both the parabolas y2=4x and x2=32y is

A
12
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B
32
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C
18
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D
23
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Solution

The correct option is A 12
For parabola, y2=4x,y=mx+1m is the tangent and it touches the parabola x2=32y
x2=32(mx+1m)
x2+32mx+32m=0
Since these parabolas touch only at one point D=0
(32m)24.(32m)=0m3=18m=12

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