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CBSE Class 11-science Answered

The distance between two parallel tangents drawn to the hyperbola x^2 /9 - y^2 / 49 = 1 is 2 . Find their  slope .
Asked by sudhanshubhushanroy | 08 Apr, 2018, 08:01: AM
answered-by-expert Expert Answer
begin mathsize 16px style d i s tan c e space b e t w e e n space t w o space p a r a l l e l space l i n e s space i s space g i v e n space b y
d equals fraction numerator open vertical bar c subscript 1 minus c subscript 2 close vertical bar over denominator square root of 1 plus m squared end root end fraction equals 2..... g i v e n
n o w space e q n space o f space tan g e n t space t o space s t d space h y p e r b o l a
y equals m x plus-or-minus square root of a squared m squared minus b squared end root
c subscript 1 equals square root of a squared m squared minus b squared end root
c subscript 2 equals negative square root of a squared m squared minus b squared end root
s u b end style
Answered by Arun | 09 Apr, 2018, 09:40: AM

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