CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 3:

Find the vertices of the triangle, the mid-points of whose sides are .

Answer:

Let vertices of be

By mid-points formula

Adding (i) , (iii) and (v)

Find the Vertices of the Triangle

Adding (ii) , (iv) and (vi)

Subtracting (i) , (iii) and (v) from (vii)

We get,

Subtracting (ii) , (iv) and (vi) from eq. (viii)

We get,

Question 4:

The two opposite vertices of a square are . Find the coordinates of the other two vertices.

The Two Opposite Vertices of a Square

Answer:

In right ,

Put the value of y in eq. (i)

Now

And