4 If the line y=3x+k touches the circle x2+y2=16 , then find the value of K 5 Find the - Maths - Statistics

Question

4   I f   t h e   l i n e   y = 3 x + k  
t o u c h e s   t h e   c i r c l e   x 2 + y 2 = 16
  ,   t h e n   f i n d   t h e   v a l u
e   o f   K 5 F i n d   t h e   e q u a t i o n
  o f   t h e   c i r c l e   w h o s e  
c e n t r e   i s   ( 2 , 2   )   a n d  
w h i c h   p a s s e s   t h r o u g h   t h e
  p o i n t   ( 4 , 5 )

Ashutosh Verma · Accepted Answer

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4 ) 
https://www meritnation
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5 ) 
https://www meritnation
com/ask-answer/question/find-the-equation-of-a-circle-with-centre-2-2-and-pa/conic-sections/6300090

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4 . I f t h e l i n e y = 3 x + k t o u c h e s t h e c i r c l e x 2 + y 2 = 16 , t h e n f i n d t h e v a l u e o f K . 5 . F i n d t h e e q u a t i o n o f t h e c i r c l e w h o s e c e n t r e i s ( 2 , 2 ) a n d w h i c h p a s s e s t h r o u g h t h e p o i n t ( 4 , 5 ) .

$4 . I f t h e l i n e y = \sqrt{3 x} + k t o u c h e s t h e c i r c l e x^{2} + y^{2} = 16, t h e n f i n d t h e v a l u e o f K . 5 . F i n d t h e e q u a t i o n o f t h e c i r c l e w h o s e c e n t r e i s (2, 2) a n d w h i c h p a s s e s t h r o u g h t h e p o i n t (4, 5) .$