CBSE Class 10 Answered
l is a line which intersects two concentric circles with common centre o at A,B,C and D . prove that AB=CD.
Asked by surender0145 | 07 Jan, 2024, 08:59: AM
Expert Answer
Figure shows the two concentric circles with common centre O.
Common chord AD is intersecting the circles at A, B , C and D .
Let us draw a perpendicular line OE to the common chord as shown in figure.
Right triangles OAE and ODE are congruent because hypotenuses OA and OD are equal ( radii of outer circle )
and OE is common side. hence we get
AE = DE
Right triangles OBE and OCE are congruent because hypotenuses OB and OC are equal ( radii of inner circle )
and OE is common side. hence we get
BE = CE
AE-BE = DE-CE
AB = CD
Answered by Thiyagarajan K | 07 Jan, 2024, 10:42: AM
CBSE 10 - Maths
Asked by shivalaxmi0205 | 11 Mar, 2024, 05:51: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by mishraananya969 | 05 Mar, 2024, 11:23: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by surender0145 | 07 Jan, 2024, 08:59: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by darshanpatilr08 | 19 Sep, 2023, 10:35: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by supriyasupriya39.10 | 20 Jan, 2023, 08:40: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by savitamahajan202 | 29 Dec, 2022, 02:12: PM
ANSWERED BY EXPERTCBSE 10 - Maths
BC. If AC > AB. Show that: AB2 = AD2 - BC x DE + 
Asked by Topperlearning User | 22 Dec, 2014, 01:30: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by | 03 Dec, 2012, 12:06: AM
ANSWERED BY EXPERT
