Q#1: Solve the following Questions. 2*6=12
(i) Define Proportion.
(ii) If , find the ratio
(iii) Find if
.
(iv) Define Inverse variation and find the relation A varies directly as the square of r and
, when
(v) Define fourth proportional and find the mean proportional between
(vi) State the Theorem of Componendo.
Q#2: Solve the following Questions. 2*6=12
(i) Prove that if
(ii) Define Joint variation with relation.
(iii) If w varies inversely as the cube of u, and w=5 when u=3. Find w, when u=6.
(iv) If a : b = c : d, then show that
(v) If
, then 5q=__.
(vi) If and when x=2, y=3, then find z.
Q#3: Solve the following Questions. 2*6=12
(i) Define Rational Fraction with example.
(ii) Resolve the fraction
into proper fraction.
(iii) Resolve into partial fraction
(iv) How we can write in partial fraction
(v) Resolve
into partial fraction.
(vi) What are partial fractions? Whether
is an identity.