Five years ago the ratio of Samwel's age to that of Juma was 5:4. Ten years from now the ratio of their ages will be 10:9. Find the present age of Samwel and Juma.
ATTEMPT THE FOLLOWING QUESTIONS
Qn. 1. The
image of (6, -1) under a transformation T is (2, 1) and the image of
(1, 3) under the same transformation T is (-1, 4) Find
(a). The transformation T (15 marks)
(b). The image of (19, -19) under
the transformation T obtained in above.
Qn. 2. a) Determine a matrix M which represents a reflection in the
line y - x = 0.
b)
Find the image of the line x + 2y - 4 = 0 after a reflection in the line
y - x = 0.
c)
Find the image of (3, 4) after a rotation of
followed
by another rotation by
about the origin.
Qn. 3. If
translation T takes the origin to
(8, 7). Given U=(-12, 12), V=(6, -16) find
a)
T[V + U]
b)
T(U) + T(V)