Question

3.(2,-3) is the centre of a circle. If one end of its one diameter is represented by (1,-4), then find the co-ordinates of the other end of the diameter.

4. If a point P(x,y) divides the segment join segment joining the poi ts (X1, y1) and (X2, Y2) in the ratio m:n,write the formula to find the co-ordinates of P(x, y).​

Answer 1

Answer:

⇒x+4=2andy−1=−6 ... If P is a point lying on the line segment joining Q(1, 1) and R(4, 1) such that PQ ... Point P divides the line segment joining the points A (-1,3) and B (9,8) such that ...

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Let AB be a diameter of the circle having its centre at C(1, -3) such that the coordinates of one end A are (4, -1).

Let the coordinates of B be (x,y).

Since C is the mid-point of AB. Therefore,the coordinates of C are(

2

x+4

,

2

y−1

).

But, the coordinates of C are given to be (1,-3).

∴

2

x+4

=1and

2

y−1

=−3

⇒x+4=2andy−1=−6

⇒x=−2andy=−5

Hence,the coordinates of B are (-2, -5).

I hope it is useful for you.

Thanks so much.