Maths : Coordinate Geometry: Book Back, Exercise, Example Numerical Question with Answers, Solution: Exercise 5.5: The Coordinates of the Centroid

**Coordinate Geometry: ****The Coordinates of the Centroid**

**Exercise 5.5**

**1. Find the centroid of the triangle
whose vertices are**

**(i) (2,−4), (−3,−7) and (7,2)**** ****(ii) (−5,−5), (1,−4) and (−4,−2)**

**2. If the centroid of a triangle is at
(4,−2) and two of its vertices are (3,−2) and (5,2) then find the third vertex of
the triangle.**

**3. Find the length of median through
A of a triangle whose vertices are A(−1,3), B(1,−1) and C(5,1).**

**4. The vertices of a triangle are (1,2),
( h,−3) and (−4,k). If the centroid of the triangle is at the point
(5,−1) then find the value of **

**5. Orthocentre and centroid of a triangle
are A(−3,5) and B(3,3) respectively. If C is the circumcentre
and AC is the diameter of this circle, then find the radius of the circle.**

**6. ABC
**

**7. If (3/2, 5) , (7, −9/2) and (13/2, −13/2) are mid-points
of the sides of a triangle, then find the centroid of the triangle.**

Tags : Numerical Problems with Answers, Solution | Coordinate Geometry | Maths , 9th Maths : UNIT 5 : Coordinate Geometry

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9th Maths : UNIT 5 : Coordinate Geometry : Exercise 5.5: The Coordinates of the Centroid | Numerical Problems with Answers, Solution | Coordinate Geometry | Maths

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