CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 11
Get top class preparation for CBSE right from your home: fully solved questions with step-by-step explanation- practice your way to success.
Question 3:
Find the centroid of the triangle whose vertices are and .
Answer:
Let be the coordinate of centroid
Coordinate of centroid is
Question 4:
Prove that in a right-angled triangle, the mid-point of the hypotenuse is equidistant from the vertices.
The Hypotenuse is Equidistant from the Vertices
Answer:
Let are the vertices of right-angled triangle
Coordinate of
i.e.
Hence, is Equidistant from the vertices.
Question 5:
Prove that diagonals of a rectangle bisect each other and are equal.
Answer:
Let ABCD be a rectangle take A as origin the vertices of a rectangle are
The Vertices of a Rectangle
Mid-point of
Mid-point of
Mid-point of Mid-point of
Hence proved
Question 6:
The line joining the points is bisected at P. If P lies on the line find the value of .
Find the Value of K
Answer:
Coordinate of
P lies on equation