Let `ABCD` is a rectangle with `AB=a` & `BC=b` & circle is drawn passing through `A` & `B` and touching side `CD`. Another circle is drawn passing thorugh `B` & `C` and touching side `AD`. Let `r_(1)` & `r_(2)` be the radii of these two circle respectively.
`(r_(1))/(r_(2))` equals

Let ABCD is a rectangle with AB=a & BC=b & circle is drawn passing through A & B and touching side CD . Another circle is drawn passing through B & C and touching side AD . Let r_(1) & r_(2) be the radii of these two circle respectively. Minimum value of (r_(1)+r_(2) equals

Let ABCD be a square of side length 1, and I^(-) a circle passing through B and C, and touching AD. The readius of I^(-) is -

In a triangle ABC Let BC=a, CA=b, AB=c and r_(1), r_(2) & r_(3) be the radii of ex-circles opposite to vertices A B&C respectively. If r_(1)=2r_(2)=2r_(3) then 3(a/b)=

In a triangle ABC Let BC=a CA=b AB=c and r_(1) r_(2)&r_(3) be the radii of ex-circles opposite to vertices A B&C respectively. If r_(1) =2r_(2)=2r_(3) then 3(a/b) =

A triangle ABC is such that a circle passing through vertex C, centroid G touches sides AB at B. If AB=6, BC=4 then the length of median through A

In a right angle triangle with sides a,b,c,a circle is drawn inside is touching its sides to prove =(a+b-c)/(2)= radius of circle.

Let ABCD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius is : (a) 3 (b) 2 (c) 32( d ) 1

Let A B C be a triangle right-angled at Aa n dS be its circumcircle. Let S_1 be the circle touching the lines A B and A C and the circle S internally. Further, let S_2 be the circle touching the lines A B and A C produced and the circle S externally. If r_1 and r_2 are the radii of the circles S_1 and S_2 , respectively, show that r_1r_2=4 area ( A B C)dot

Let A B C be a triangle right-angled at Aa n dS be its circumcircle. Let S_1 be the circle touching the lines A B and A C and the circle S internally. Further, let S_2 be the circle touching the lines A B and A C produced and the circle S externally. If r_1 and r_2 are the radii of the circles S_1 and S_2 , respectively, show that r_1r_2=4 area ( A B C)dot