Ratio in Which Centroid Divides Median

Q.

If $p,q$ and $r$ are in one geometric progression and $a,b,c$ in another geometric progression, then $cp,bq,ar$ are in

1. $A.P$

2. $H.P$

3. $G.P$

4. None of these

Q.

The ratio in which the Centroid of the triangle divides the median is _____.

1. 3 : 1

2. 2 : 1

3. 1 : 1

4. 3 : 2

Q.

The centroid can lie outside of the triangle.

1. True

2. False

Q.

Points P and Q are in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3 and Q divides AB in the ratio 3:4. If $PQ=2cm,$ then find the length of the line segment AB.

Q.

The point where all the medians of a triangle intersect are known as ______________ .

1. circumcentre

2. centre

3. concentric centre

4. centroid

Q.

The point of intersection of medians is known as ___

Q.

The given triangle has Centroid at O.

If PC = 54 cm, Find the length of OC.

1. 24 cm

2. 36 cm

3. 18 cm

4. 42 cm

Q.

The following figure has centroid at the point O

If AO = 6 cm , find the length of OR.

1. 2 cm

2. 5 cm

3. 3 cm

4. 12 cm

Q.

The given triangle has Centroid at O.

If PC = 54 cm, Find the length of OC.

Q.

To divide a line segment, the ratio of division must be:

1. Positive and rational

2. less than 1

3. Greater than 1

4. Negative and Rational