Q13 of 184 Page 10

one end of a diameter of a circle is at (2,3) and the center is (-2,5), find the coordinates of the other end of the diameter.


Let the coordinates of the other end be (x,y).


Since (-2, 5) is the midpoint of the line joining (2,3) and (x,y)




⇒ x + 2 = -4 and y + 3 = 10


⇒ x = -4 – 2 and y = 10 – 3


⇒ x = -6 and y = 7


Hence, the coordinates of the other end are (-6, 7)


More from this chapter

All 184 →
11

If A(1,5), B (-2,1) and C(4,1) be the vertices of ΔABC and the internal bisector of ∠A meets BC and D, find AD.

 12

If the middle point of the line segment joining (3,4) and (k,7) is (x,y) and 2x+2y+1=0, find the value of k.

 13

Find the coordinates of a point A, where AB is the diameter of a circle whose center is (2,-3), and B is (1,4)

 14

If the point C (-1,2) divides internally the line segment joining A (2,5) and B in the ratio 3:4. Find the coordinates of B.