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The values of 'm' for which a line with ...

The values of 'm' for which a line with slope m is common tangent to the hyperbola `x^2/a^2-y^2/b^2=1` and parabola `y^2 = 4ax` can lie in interval:

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The correct Answer is:
2
Equation of tangent to hyperbola `(x^(2))/(5)-(y^(2))/(b^(2))=1` having slope m is
`y=mx pm sqrt(a^(2)m^(2)-b^(2))`
`rArr" "y=xpmsqrt(5-b^(2))`
Comparing with y = x+1, we get
`b^(2)=4 or b = pm2`
So, two value are possible.
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