Circumcentre
Trending Questions
Q. A(x1, y1), B(x2, y2), C(x3, y3) are the vertices of a triangle. If P (x, y) is the circumcentre of the triangle, then
PA=PB=PC
PA=PB=PC
True
False
Q. Let ABC be the triangle with AB=1, AC=3 and ∠BAC=π2. If a circle of radius r>0 touches the sides AB, AC and also touches internally the circumcircle of the triangle ABC, then the value of r is
Q. Circumcentre of a triangle, which is formed by the lines y=x, y=2x and y= 3x+4 is
- (6, 8)
- (6, -8)
- (3, 4)
- (-3, -4)
Q. The mid point of hypotenuse of a right angled triangle is equidistant from all the vertices of the triangle.
- True
- False
Q. If S is the circumcentre of △ABC, where A=(1, 3), B=(−3, 5), C=(5, −1), then
- coordinates of S will be (−8, −10)
- coordinates of S will be (−4, −5)
- radius of circumcircle will be 5√10 units
- radius of circumcircle will be 5√5 units
Q. If A=(6, 0), B=(0, 8), and the circumcenter of the △OAB where O is the origin, is (α, β), then the value of α+β is
Q. The circumcentre of the triangle formed by (2, −5), (2, 7), (4, 7) is
- (3, 1)
- (2, 7)
- (3, −1)
- (−3, −1)
Q. Consider a right angled triangle ABC

If the sides of the triangle are a=6, b=10, c=8 units, then the distance between incentre and circumcentre will be
If the sides of the triangle are a=6, b=10, c=8 units, then the distance between incentre and circumcentre will be
- √5
- 3
- √3
- 2
Q. If A(x1, y1), Bx2, y2), C(x3, y3) are the vertices of an equilateral triangle and (x1−2)2+(y1−3)2=(x2−2)2+(y2−3)2=(x3−2)2+(y3−3)2, then
- Coordinates of orthocentre is (0, 0)
- Coordinates of circumcentre is (2, 3)
- value of (x1+x2+x3)+3(y1+y2+y3) is 33
- value of 2(x1+x2+x3)−(y1+y2+y3) is 3
Q. If the vertices of a triangle are P(8, 6), Q(8, −2) and R(2, −2), then which of the following is/are correct?
- Coordinates of circumcentre of triangle PQR is (5, 2)
- Coordinates of circumcentre of triangle PQR is (2, 5)
- Circumradius of triangle PQR is 5 units
- Circumradius of triangle PQR is √37 units