Let P x 1 y 1 - Q x 2 y x be two fixed points in xy-plane and Rh-k is such that PR-QR- -1- 1- If locus of R for different values of - be curves s 1 - s 2 - s 3 - then the number of common tangents to s i and s j i- j may be

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Median of Triangle

Let P x 1 y ...

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$L e t P (x_{1} y_{1}), Q (x_{2} y_{x}) b e t w o f i x e d p o i n t s i n x y - p l a n e a n d R (h, k) i s s u c h t h a t P R : Q R = λ : 1 (λ \neq 1) . I f l o c u s o f R f o r d i f f e r e n t v a l u e s o f λ b e c u r v e s s_{1}, s_{2}, s_{3}, . . . . . . . . t h e n t h e n u m b e r o f c o m m o n t a n g e n t s t o s_{i} a n d s_{j} (i \neq j) m a y b e$

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