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Q.

Length of the tangent drawn from an end of thelatus rectum of the parabola y2=4ax to the circleof radius a touching externally the parabola at thevertex is

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a

3a

b

2 a

c

7a

d

3 a

answer is C.

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Detailed Solution

Equation of the circle is (x+a)2+y2=a2and anend of the Latus rectum of the parabola is (a, 2a).Required length is (a+a)2+(2a)2−a2=a7
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