Construction of Circumcircle
Trending Questions
Q.
Why do the diagonals of a square intersect at their midpoints
Q. The radius taken to draw the perpendicular bisector for a line segment of length L is
- L
- L/4
- greater than L/3
- greater than L/2
Q.
ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively interesting at P, Q and R. Then the perimeter of ∆PQR is
1/2 the perimeter of ∆ABC
1/4 the perimeter of ∆ABC
1/3 the perimeter of ∆ABC
Twice the perimeter of ∆ABC
Q.
How many arcs are drawn during the construction of a perpendicular bisector?
Q.
How many arcs are drawn during the construction of a perpendicular bisector?
Q. Construct a triangle ABC, in which AB = 4 cm, ∠CAB = 450 and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. Find the radius of the circle.
[3 Marks]
[3 Marks]
Q. In the given figure, how do we obtain the circumcentre?
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/485879/original_283251.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/485879/original_283251.png)
- by measuring the height of the triangle
- by measuring the mid point of one side
- by drawing perpendicular bisectors of any two sides
- None of the above
Q. What is the value of AB if BD = 5 cm, AC = 9 cm, and AQ bisects CD perpendicularly?
- 14 cm
- 12 cm
- 4 cm
- 9 cm
Q. Which of the following options are not steps involved in construction of circumcircle of the △ABC with circumcentre O ?
- Construction of the given triangle.
- Construction of perpendicular bisectors of the sides of the triangle.
- Construction of circle with radius OD (D is the midpoint of BC)
- Construction of circle with radius 2×OA
Q. In ABC, (fig. 3.75) the perpendicular bisectors of side AB and AC intersect each other at point P. Show that the perpendicular bisector of CB also passes through point P.
![](https://search-static.byjusweb.com/question-images/img/study_content/content_ck_images/images/2794.png)
![](https://search-static.byjusweb.com/question-images/img/study_content/content_ck_images/images/2794.png)