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Major Arc, Minor Arc and Semicircular Arc

Points A, B, ...

Question

Points A, B, C, D are on a circle with centre P The names of any three radii and 'any three chords of the circle are

3 c h o r d s a r e t h e s e g m e n t s - A B, P A a n d P C a n d 3 r a d i i a r e t h e s e g m e n t s - A B, P B & A D .

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3 c h o r d s a r e t h e s e g m e n t s - A B, B C a n d A D a n d 3 r a d i i a r e t h e s e g m e n t s - P A, P B & P C .

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3 c h o r d s a r e t h e s e g m e n t s - P B, B C a n d P C a n d 3 r a d i i a r e t h e s e g m e n t s - P A, A B & B C .

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3 c h o r d s a r e t h e s e g m e n t s - P A, P C a n d P D a n d 3 r a d i i a r e t h e s e g m e n t s - A B, B C & D C .

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Solution

The correct option is B $3 c h o r d s a r e t h e s e g m e n t s - A B, B C a n d A D a n d 3 r a d i i a r e t h e s e g m e n t s - P A, P B & P C .$
$(i) T h e l i n e, j o i n i n g a n y t w o p o i n t s o n t h e c i r c u m f e r e n c e o f a c i r c l e, i s a c h o r d . (i i) T h e l i n e, j o i n i n g a n y p o i n t o n t h e c i r c u m f e r e n c e o f a c i r c l e a n d t h e c e n t r e, i s a r a d i u s . H e r e 3 c h o r d s a r e t h e s e g m e n t s - A B, B C a n d A D a n d 3 r a d i i a r e t h e s e g m e n t s - P A, P B & P C . A n s - O p t i o n B . (T h e r e a r e 6 c h o r d s h e r e v i z . A B, A C, A D, B C, B D & C D a n d 4 r a d i i v i z . P A, P B, P C & P D .)$

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Similar questions

AB & CD are two equal chord of circle with centre o. If AB and CD, on being produced, meet at a point P outside the circle, Prove that: (i) PA = PC (ii) PB = PD

Q. From any external point

P

, two tangent

P A

and

P B

are drown to the circle with centre

O

. Prove that

O P

is the perpendicular bisector of

A B

Q. If

C

is the midpoint of

A B

and

P

is any point outside

A B

, then

- - \to P A + - - \to P B =

Q. If

P

is a point in the interior of

△ A B C

then fill in the blanks with

>

<

=

.
(i)

P A + P B . . . . . . . . . A B

(ii)

P B + P C . . . . . . . . B C

(iii)

A C . . . . . . . . . P A + P C

Q. AB and CD are two chords of a circle intersecting at P inside the circle. If

P A = 1 c m, P B = 1.6 c m

, then

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