CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 16

Get top class preparation for CBSE right from your home: fully solved questions with step-by-step explanation- practice your way to success.

Question 21:

We know that median of a triangle divides it into two triangles of equal areas. Verify this result for whose vertices are and .

Maths-Class-10-Marks3-Che-7-Ques-21-Two Triangles of Equal a …

Two Triangles of Equal Areas

Loading image

Answer:

We have whose vertices are given.

We need to show .

Let coordinates of point

Using section formula to find coordinates of , we get

Therefore, coordinates of point are

Using formula to find area of triangle:

Area of

Area cannot be in negative.

Therefore, we just consider its numerical value.

Therefore, area of

Again, using formula to find area of triangle:

Area of

From (1) and (2), we

Hence Proved

Question 22:

Find the center of a circle passing through the points .

Maths-Class-10-Marks3-Che-7-Ques-22-Find the centre of a cir …

Find the Centre of a Circle

Loading image

Answer:

Let , be the center of the circle passing through the points A and .

Then .

Taking AP = BP

Again, taking

Putting the value of in eq. (i)

Hence, the center of the circle is