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ADD MATH EXERCISES

EXERCISE 6.1

1. Find the perimeter of triangle ABC with points A(2, 1), B(4, 5) and C( -2, 8).2. The points (-3, -5) lies on the circumference of a circle with centre (2, 1). Calculate the

radius of thecircle.3. Given that the distance between points A(1,3) and B(7, k) is 10 units . Find the possiblevalue of k.4. Given point A( 1, 7) and B( p, 2) and the distance between the points A and B is 13 units.Find the valueof p.

EXERCISE 6.2.11. The coordinates of A and B are (m, 5) and (6, n) respectively. Find the values of m and nif the midpointof the points is (4, 10).2. The coordinates of M and N are (4, 2) and (6, 5) respectively. Find the mid -point of these

two points.3. The coordinates of X and Y are ( -1, b) and (a, 7) respectively. Find the values of a and b if the midpointof the points is (1, 2).

EXERCISE 6.2.21. Point R divides the line segment joining J( -1, -7) and Q(10 ,7) internally in the ration PR:RQ = 1: 3. Findthe coordinate of R.2. The points P(t, 2t), Q(2a, b) and R(4a, 3b) are on a straight line. Q divides PR internally inthe ratio 1: 4.Show that b ! 6a .3. Given points A(k, 5), B(0, 3) and C(5, 4). Find the possible values of k if the length of ABis twice thelength of BC.

EXERCISE 6.4.2Find the gradient of the following points.(a) A (2, 3) and B (4, 5)(b) M (-3, 1) and N (4, -2)(c) P (2, 3) and Q (4, 3)(d) C (2, 5) and D (2, 8)(e) F(0, 6) and G( 3, 0)

EXERCISE 6.4.31. Write each of the following equations to intercept form. Hence, state the gradient of thestraight line.(a) 2 x y 4 ! 0(b) x 3y ! 6(c) 4 x 3y ! 2(d) 2 x 3y ! 12. Find the equation of the straight line which has a gradient of -2 and passes through pointB (7, -2).

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