JEE MATHEMATICS MCQ: PARABOLA

1 Easy

1 of 1

Application +4 | -1

A common tangent is drawn to the circle

x^2+y^2=a^2

and the parabola

y^2=4 b x

. If the angle which this tangent makes with the axis of

x

\frac{\pi}{4}

, then the relationship between

a

and

b

(a, b>0)

View answer and explanation

Correct option: A

b=\sqrt{2} a

Option B (

b=\sqrt{2} a

) is correct because it provides the relationship between a and b when the tangent to the parabola and circle is common and makes an angle of

\frac{{\pi}}{{4}}

with the x-axis.

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