If the point `(2,k)` lies outside the circles `x^2+y^2+x-2y-14=0a n dx^2+y^2=13" then k"` lies in the interval
(a) `(-3,-2)uu(3,4)` (b) `(-3,4)` (c) `(-oo,-3)uu(4,oo)` (d) `(-oo-2)uu(3,oo)`

Explanation

We know that for a point `(a, b)` to lie outside the circle `S`, the condition to be satisfies is `S_11>0`.
Applying `S_11>0` for `1^text st ` circle,



`Rightarrow 2^2+k^2+2-2(k)-14>0 `



`Rightarrow 4+k^2-2 k-12>0 `



`Rightarrow k^2-2 k-8>0 `


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