CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 6

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Question 8:

In what ratio is the line segment joining the points and divided by the ?

Answer:

Let and

and ratio be

In what ratio is the line segment

In What Ratio is the Line Segment

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Coordinate of P are

Question 9:

For what value of are the points and collinear?

Answer:

For Collinear

Question 10:

Find the third vertex of a , if two of its vertices are at and and the centroid is at the origin.

Answer:

Let third vertex of the be

Hence, third vertex is

Question 11:

In a seating arrangement of desks in a classroom, three students are seated at and respectively. Are they seated in line?

Answer:

Hence, they seated in a line.

Question 12:

Show that are the vertices of an equilateral triangle.

Answer:

Let

Since , then is equilateral triangle.