CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)
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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.
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
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 .
Answer:
Coordinate of
P lies on equation