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Displacement of COM:Application

Find the cent...

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Find the centroid of the triangle whose vertices are (𝟑, −𝟓), (−𝟕, 𝟒), 𝒂𝒏𝒅 (𝟏𝟎, −𝟐).

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Q. Check whether (𝟓, −𝟐), (𝟔, 𝟒) and (𝟕, −𝟐) are the vertices of
an isosceles triangle.

Q. If 𝑨={𝟑, 𝟓, 𝟕, 𝟗, 𝟏𝟏} and 𝑩={𝟐, 𝟒, 𝟔, 𝟖, 𝟏𝟏}, state whether the following are true or false.
1. 𝟐 ∉ 𝑨
2. 𝟐, 𝟒 and 𝟏𝟎 ∈ 𝑩
3. (𝟏𝟏 – 𝟐) ∉ 𝑨
4. 𝟗 ∈ 𝑨 and 𝟗 ∉ 𝑩

Q. Represent the following data into a frequency distribution table.
𝟏𝟓 𝟏𝟎 𝟏𝟔 𝟗 𝟕 𝟖 𝟗
𝟏𝟎 𝟏𝟓 𝟏𝟎 𝟖 𝟒 𝟕 𝟖

Q. Find the area of ∆𝑨𝑩𝑪 using Heron’s formula. The vertices of the triangle are 𝑨(𝟏, 𝟎), 𝑩(𝟒, 𝟒), and 𝑪(𝟕, 𝟎).

Q. Find the relation between 𝒙 and 𝒚 if points (𝟐, 𝟏), (𝒙, 𝒚), and (𝟕, 𝟓) are collinear.

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