Pro
SUBJECT: FURTHER MATHS
CLASS: S.S.S. ONE
..... OBJECTIVE...
TIME:2%HRs
1. If the third term of a geometric progression (G.P) is 10 and the sixth term is 80. Find the common ratio (a)
2 (b) 3 (c) 4 (d) 8
*
2. A binary operation is defined on the set R, of real numbers by a + b = ab. Find the value of √2*
√6 (a) √3 (b) 32 (c) (d) √3
·c
532
ny - 1 = 0 are parallel, find the relationship conne
3. Given that the straight line Kx - 5y + 6-0 and mx -
cting the constant m, n and k (a) 5n-km =0 (b) kn + 5m=0 (c) 5n+ km = 0 (d) kn - 5m=0
4. Given (√3-5√2 (√3√2) = p + q√6, find the value of that q (a)4(b) - 4(c)-5(d) - 7
5. The gradient of the line passing through the points p(4.5) a(x, 9) is %. Find the value of x
(a) - 4 (b)
0 (c) 4
(d) 12
6. Find the equation of the line that is perpendicular to 2y + 5x-6= 0 and bisects the line joining the points
P(4.3) and Q(-6, 1) (a) y+5x+3=0 (b) 2y-5x-9=0 (c) 5y+2x-8=0
(d) 5y-2x-12=0
7. If f(x)
=
1
2-x
,x = 2, find f-1 (-) (a) 4 (b) 0 (c)-2(d)-4
8. Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 9) internally in the ratio
2:3 (a) (5) (b) (3, 5) (c) (. 2½) (d) (-6)
9. If p= (x: 1≤ x ≤6) and Q{x:2(d) (1.2.3.5)
10. Simplify √(-1/64) (a) 4 (b) -% (c) ¹/g (d)-4
11. Evaluate loga 258 (a) (b) (c) (d) 3
12. Which of the operations is not commutative? (a) a b-a-b+ab (b) a b + (c) a+b=a+b-
ab (d)a + b = 2a + 2b + ab
4.
13. Simplify 2log28-3log22 (a) 3 (b) 2 (c) 1 (d) -1
​