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D e a r S t u d e n t, G i v e n C i r c l e : x^{2} + y^{2} = 4 . . . . . . (1) L e t \tan g e n t : y = m x + c G i v e n s l o p e o f \tan g e n t m = \tan 60 = \sqrt{3} T h e r e o f r e, \tan g e n t : y = \sqrt{3} x + c . . . . . . . . . . . . . (2) W e k n o w p e r p e n d i c u l a r d i s t a c e o f a \tan g e n t f r o m c e n t e r o f c i r c l e i s e q u a l t o r a d i u s F o r g i v e n c i r c l e c e n t e r : (0, 0) a n d r a d i u s : 2 u n i t s |\frac{c}{\sqrt{{(\sqrt{3})}^{2} + {(1)}^{2}}}| = 2 T h e r e f o r e, c = \pm 4 H e n c e p o s s i b l e \tan g e n t s T_{1} : y = \sqrt{3} x + 4 T_{2} : y = \sqrt{3} x - 4 R e g a r d s

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