Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.

(i) What do you call the point O?

(ii) What is the distance OA, OB and OC called?

(iii) Does the perpendicular bisector of BC pass through O?

(i) circumcentre (ii) circumradii (iii) Yes

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(i) circumcircle (ii) diameter (iii) Yes

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(i) Incentre (ii) inradii (iii) Yes

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(i) circumcentre (ii) radii (iii) No

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Solution

The correct option is A
(i) circumcentre (ii) circumradii (iii) Yes

i) O is called the circumcentre of the triangle ABC.

ii) OA, OB and OC are the circumradii..

iii ) Yes,the perpendicular bisector of BC will pass through O.

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Similar questions

$If O is a point within Δ A B C, show that (i) AB + AC > O B + O C (ii) AB + BC + CA > O A + O B + O C (iii) OA + OB + OC > \frac{1}{2} (A B + B C + C A .)$

O is any point in the interior of $Δ A B C .$

Prove that

$(i) A B + A C > O B + O C$

$(i i) A B + B C + C A > O A + O B + O C$

$(i i i) O A + O B + O C > \frac{1}{2} (A B + B C + C A)$

Q. In

Δ A B C

A B = A C

and AD is the median. Find which of the points lies on AD.
(i) Centroid ii) Incentre
(iii) Circumcentre (iv) Orthocentre

Choose the right answer from the options given after every question.

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the ....................... .

(i) circumcentre (ii) apex (iii) incentre (iv) point of intersection.

Q. If O is the circumcentre and P the orthocentre of

Δ A B C

, prove that
i)

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

ii)

- - \to P A + - - \to P B + - - \to P C = 2 - - \to P O

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Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. (i) What do you call the point O? (ii) What is the distance OA, OB and OC called? (iii) Does the perpendicular bisector of BC pass through O?

The correct option is A (i) circumcentre (ii) circumradii (iii) Yes i) O is called the circumcentre of the triangle ABC. ii) OA, OB and OC are the circumradii.. iii ) Yes,the perpendicular bisector of BC will pass through O.

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.

(i) What do you call the point O?

(ii) What is the distance OA, OB and OC called?

(iii) Does the perpendicular bisector of BC pass through O?

The correct option is A
(i) circumcentre (ii) circumradii (iii) Yes

i) O is called the circumcentre of the triangle ABC.

ii) OA, OB and OC are the circumradii..

iii ) Yes,the perpendicular bisector of BC will pass through O.