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Tangents drawn from a point on the circl...

Tangents drawn from a point on the circle `x^2+y^2=9` to the hyperbola `x^2/25-y^2/16=1,`
then tangents are at angle

A

(a) `(pi)/(6)`

B

(b) `(pi)/(4)`

C

(c) `(pi)/(3)`

D

(d) `(pi)/(2)`

Text Solution

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The correct Answer is:
D
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Statement-I Two tangents are drawn from a point on the circle x^(2)+y^(2)=9 to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 , then the angle between tangnets is (pi)/(2) . Statement-II x^(2)+y^(2)=9 is the directrix circle of (x^(2))/(25)-(y^(2))/(16)=1 .

Statement I Two tangents are drawn from a point on the circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , then angle between tangents is (pi)/(3) Statement II x^(2)+y^(2)=50 is the director circle of x^(2)+y^(2)=25 .

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