Question

Find the coordinates of the point which divides the line segment joining the points (5, –2) and (9, 6) in the ratio 3 : 1.

Solution

Correct option is

(8, 4)

 

Let the required point be (xy), then

           

    

Thus the coordinates of the required point are (8, 4)

SIMILAR QUESTIONS

Q1

 

Find the cartesian co-ordinates of the points whose polar coordinates are

            

Q2

Find the polar coordinates of the points whose cartesian coordinates are (–2, 2)

Q3

Find the polar coordinates of the points whose cartesian coordinates are (–3, 4)

Q4

Transform the equation  into cartesian form.

Q5

Transform the equation  into polar form.

Q6

 

Find the distance between the points

            

where a > 0.

Q7

An equilateral triangle has one vertex at the point (0, 0) and another at . Find the coordinates of the third vertyex. 

Q8

Let the opposite angular points of a square be (3, 4) and (1, –1). Find the coordinates of the remaining angular points

Q9

Find the circumcentre of the triangle whose vertices are (–2, –3), (–1, 0) and (7, –6). Also find the radius of the circumcircle.

Q10

Find the length of median through A of a triangle whose vertices are A(–1, 3), B(1, – 1)and C(5, 1).