4 )   E q u a t i o n   o f   t h e   tan g e n t   t o   t h e   c i r c l e ,   a t   t h e   p o i n t   ( 1 , - 1 )   w h o s e   c e n t r e   i s   t h e   p o i n t   o f   i n t e r s e c t i o n   o f   t h e s t r a i g h t   l i n e   x - y = 1   a n d   2 x + y = 3   i s ( A )   3 x - y - 4 = 0                           ( B )   x + 4 y + 3 = 0                         ( C )   x - 3 y - 4 = 0                    

Dear Student,


Hence option (B) is correct

Regards

  • 1

First get the centre of the circle;

2x+(1+x)=3

3x=2

X=2/3

Y=1+2/3

Y=5/3

Now we know that the radius of a circle meets perpendicular to a tangent so we get the gradient of of the radius which is center to the point (1,-1) then get the negative inverse of it;

153123=grad

Grad=8

Grad of tangent=1/8

So the equation of the tangent :

Y+1=(x1)8

  • 0
It does not match any option
  • 0
What are you looking for?