Question

23. Calculate the distance between the points P(2, 2)
and Q(5, 4) correct to three significant figures.


24. Calculate the distance between A(7, 3) and B
on the x-axis whose abscissa is 11.


25. Calculate the distance between A(5, -3) and
B on the y-axis whose ordinate is 9.
26

. Find the point on y-axis whose distances from
the points A(6, 7) and B(4, -3) are in the
ratio 1: 2.


27. The distances of point P(x, y) from the points
A(1, -3) and B(-2, 2) are in the ratio 2 : 3.
Show that :
5x2 + 5y2 – 34x + 70y + 58 = 0

.
28. The points A(3, 0), B(a, -2) and C(4, -1) are
the vertices of triangle ABC right angled at
vertex A. Find the value of a.​

Answer 1

Answer:

23. √13

24. 5

25. 13

26. (0,y) Find the value of y by points of ratio formula

28. find distance between ab bc and ca , use Pythagoras theorem to find value of a