# Circumcentre

## Trending Questions

**Q.**The point of intersection of the perpendicular bisectors of a triangle is called

- Incentre
- Circumcentre
- Centroid
- Orthocentre

**Q.**

The locus of point equidistant from three vertices of a triangle is……………

**Q.**What is the locus of a point which is equidistant from a fixed reference point called?

- Straight Line
- circle
- ellipse
- hyperbola

**Q.**

A triangle has only one circumcircle and one incircle.

False

True

**Q.**

The circumcircle of a triangle passes through _____.

inside a triangle touching all its sides

one of the vertices of a triangle

all the vertices of a triangle

two vertices of a triangle

**Q.**

The number of circles that can be drawn, touching all the vertices of a triangle is

Two

Many

None of these

One

**Q.**What is the locus of a Circle

**Q.**A circle is drawn through the vertices P, Q and R of a triangle PQR with PQ = 52 cm, QR = 56 cm and PR = 60 cm as shown in the given figure. Find the diameter of the circle.

**Q.**

Describe the locus for questions 1 to 13 given below:

the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.

**Q.**The point of intersection of the perpendicular bisectors of a triangle is called:

- in-centre
- circumcentre
- orthocentre
- centroid

**Q.**

The locus of a point, equidistant from two given points, is the

**Q.**

If the source is opposite to the direction of the sun, then honey bees will convey the direction by

Clockwise round dance

Upright down tail wagging dance

Anti-clockwise round dance

None of these

**Q.**Find the coordinates of the circumcenter of a triangle whose vertices are (8, 6), (8, – 2) and (2, – 2). What is the circumradius of this triangle?

**Q.**The radii of the escribed circles of triangle ABC are r_a, r_{b } and r_c respectively. If r_a+r_c = 3R and r_b +r_c =2Rthen the smallest angle of the triangle is (where R is the circuradius of triangle ABC)

**Q.**

Describe the locus for questions 1 to 13 given below:

The locus of a point P, so that:

AB2=AP2+BP2

where A and B are two fixed points.

**Q.**

A semicircle is constructed outwards on side BC of a triangle ABC as on the diameter. Given points K and L that divide the semicircle into 3 equal arcs, prove that lines AK and AL divide BC into 3 equal parts.

**Q.**

For a triangle PQR, if the circumcenter is C. Will triangle PQT also have the same circumcenter if T is another point on the circumcircle?

False

True

**Q.**If the line through A(−2, 6) and B(4, 8) is perpendicular to the the line through the points C(8, 12) and D(x, 24), then the value of x is:

- 2
- 4
- 1
- 8

**Q.**

The speed of sound is 332 metres per second.A gun is fired.Describe the locus of all the people on the earth's surface, who hear the sound exactly after one second?

**Q.**

The locus of a point equidistant from three vertices of a triangle is the

the incentre of the triangle

any side

the orthocentre of the triangle

the circumcentre of the triangle

**Q.**

The locus of a point, equidistant from two given points, is the

**Q.**A semi-circle is inscribed in a triangle such that its diameter is on the hypotenuse, then the triangle is?

**Q.**Question 1: Line AB contains points A(0, 1) and B(1, 5). The slope of line AB is ... ? $

**Q.**

What exactly deos the foci of an ellipse mean? What is its value in case of a circle and why?

**Q.**Slope of the line AB is −43. Co-ordinates of points A and B are (x, −5) and (−5, 3) respectively. What is the value of x

- −1
- 2
- −2
- 1

**Q.**

two buildings are 3.3km apart. a gun is fired from one building. the difference between the seeing the flash of gun and its sound is 10s. find the speed of sound in air

**Q.**Which of the following statements is/are correct statements?

1. Centroid of a triangle is the point of concurrency of medians

2. Incentre of a triangle is the point of concurrency of perpendicular bisectors of the sides of the triangle

3. Circumcentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle

4. Orthocentre of a triangle is the point of concurrency of altitudes of the triangle drawn from one vertex to opposite side

5. A triangle can have only one excentre

- All 1, 2, 3, 4, 5
- only 1, 4, 5
- only 1, 2, 3, 4
- only 1, 4