1The second circle has centre (2,-3) and radius 4 so radius of first circle must be 1
and so its eqn is (x+1)2+(y-1)2 = 1
C I R C L E S
1 ) A circle S = 0 is drawn with its centre at (-1.1) so as to touch the circle x2 + y2 - 4x + 6y -3 = 0 externally.
Find the intercept made by the circle on the coord axes ?
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9 Answers
1
4Yes correct Philip
So , Intercepts made by the circle on the coord axes r 0 & 0
4OK TRY this
2 ) A circle C is a tangent to the x & y axes at the points P n Q respectively ,BC & AD r parallel tgts to the circle with slope -1
If the points A & B r on the y-axis while C & D on the x-axis & area of ABCD is 900√2 sq.units
Then find the radius of the circle
1let d eq of BC be x + y=c1 n dat of AD be x+y=c2..let d radius be r
using distance formula
c1-c2√2=2r
again cordinates of d centre are r,r
if we use distance formula to equate the distance 4m the 2 tangents we get
2r-c1√2=c2-2r√2
or c1+c2=4r
area =900√2units
so c12-c22=1800√2units
if we solve all these we get r=15units
4Here's one more ...........
3 ) Find the eqn of circle passing thru (1,1) belonging to the coaxial system of circles that r tangent at
(2,2) to the locus of the point of intersection of mutually perpendicular tangent to the circle
x2 + y2 = 4