100.] 



45 At what angle do the circle. / + 5 a and 



* + **+! -react each other? 



46. A diameter of the < +4* + 8x- l.'; + l=0 |ssos 



i<h the i-.M.t (I. 1) t equation, and the equation of 



Lord* which It bisects. 



47 I :ni| the locus of a point *uoh that tangents from it to two COB> 

 crntric circles are inversely proportional to the radii of the circlet, 



48. I'm. I ill.- l.*tisof a point l,i,-h moves so that iu distancet from 

 fixed points are In constant ratio ass the locus and 



49 I point move* no that the square of its distance from the base 

 isosceles triangle it equal to the product of its distances from the 

 Other two sides. Show that the locus is a circle. 



SO. Prove that the two circlet 



** + f* + 2 {?,* + 2 F& + C, = and x* + y* + 2 G^t 4- 2 F# + C t 

 are cone. a they are tangent to each 



Pi? = VCJ^-hF.'-C, 



^ the ooMtanU that these circles intersect 

 orthogonally, i.e.. at right angles to each other. 



