Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 10 Answered

AB is the diameter of circle with center O.
Chord CD is equal to radius OC. AC and BOD produced intersect at P .
Find:
 
  1.   OCD
  2. APB
 
 
                                                             
Asked by mythili Suresh | 12 Sep, 2014, 07:43: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
open parentheses 1 close parentheses A B space i s space t h e space d i a m t e r space o f space t h e space c i r c l e. G i v e n space t h a t space C D equals r a d i u s space o f space t h e space c i r c l e equals O A equals O C equals O D equals C D N o w space c o n s i d e r space t h e space t r i a n g l e space triangle O C D S i n c e space O C equals O D equals C D comma space triangle O C D space i s space a n space e q u i l a t e r a l space t r i a n g l e A n d space h e n c e space angle O C D equals angle D O C equals angle C D O equals 60 degree open parentheses 2 close parentheses N o w space c o n s i d e r space t h e space t r i a n g l e s space triangle C A O space a n d space triangle B D O S i n c e space O A equals O C equals O D equals O B space a n d space triangle O C D space i s space a n space e q u i l a t e r a l space t r i a n g l e comma space w e space h a v e triangle C A O space a n d space triangle B D O space a r e space a l s o space e q u i l a t e r a l space t r i a n g l e s space a n d space h e n c e comma space A C equals B D equals C D W E space h a v e comma space A C equals O D space a n d space O A equals C D comma space t h e r e f o r e comma space O A C D space i s space a space p a r a l l e l o l g r a m T h e space d i a g o n a l space o f space t h e space p a r a l l e log r a m space b i s e c t s space t h e space a n g l e space O A C space a n d space h e n c e angle C A D equals 1 half angle C O D equals 1 half cross times 60 degree equals 30 degree A n g l e space i n space a space s e m i c i r c l e space i s space 90 degree T h u s comma space angle A D B equals 90 degree rightwards double arrow angle A D P equals 90 degree C o n s i d e r space t h e space t r i a n g l e space triangle A D P B y space a n g l e space s u m space p r o p e r t y comma space w e space h a v e angle A D P plus angle D P A plus angle D A P equals 180 degree rightwards double arrow 90 degree plus angle D P A plus 30 degree equals 180 degree rightwards double arrow angle D P A equals 180 degree minus 120 degree equals 60 degree
Answered by Vimala Ramamurthy | 14 Sep, 2014, 12:10: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 10 - Maths
c part
question image
Asked by Kanwaranita10 | 03 Mar, 2020, 05:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Can anyone explain me Direct and Coverse tangents along with suitable examples
Asked by kersi.kapadia | 08 Oct, 2019, 05:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Can anyone explain me alternate segment theorem by giving some examples? please.
Asked by Phanihrushik.10 | 15 Feb, 2019, 08:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
The length of the direct common tangent to two circles of radii 12cm and 4cm is 15cm.Calculate the distance between their centres. 
Asked by prodyumna02 | 11 Feb, 2019, 03:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Pls answer the question on Circles Thanks.
question image
Asked by birpori | 04 Nov, 2018, 02:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Plz solve  (c)
question image
Asked by Jatinaa786 | 17 Feb, 2018, 05:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
the area of a circle insribed in an equilateral triangle is 154sq.cm, find the perimeter of triangle
Asked by subhasray1968 | 09 Feb, 2018, 12:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
What is angle in the alternate segment .please explain with a diagram
Asked by Shailesh | 18 Jan, 2018, 04:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In the given figure, AB is the diameter of a circle with centre O. AQ,BP and PRQ are tangents. Prove that OP and OQ are perpendicular to each other.
Asked by Yash | 02 Jan, 2018, 07:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×