figure shows a sector OMN of a circle at centre O with the radius r = 6 cm and a
perimeter of 16 cm . The area of sector MON = ………
A. 24cm2 B. 36cm2 C. 15cm2 D.12cm2 E. 9cm2
12.An arc BC subtends an angle of 144° at the centre O if a circle of radius 10 cm . Then the
length of arc BC is
A.252π B.252π C.8π D.π8 E. 8π
13.If sin20°=x then cos70°is
k.12 C. k.18 D. k.27 E.k.21
- The mean proportional between 9 and 16 is
A.6 B.1212 C.12 D.±12 E.±1212
30.If ab+c =bc+a=ca+b, and provided that a+b+c≠0, then each ratio is
A.0 B.1 C. 2 D.12 E .None of them - The lengths of the sides of a triangle similar to a triangle with sides 8,12,16 ft long with the
twice area are
A. 83 ,123,163 B.2,3,4 C. 16,24,32 D. 82,122,162 E.22,32,42 - If y varies inversely as the cube of (x+1) and k is the constant of proportionality, then
A. y = kx3 + 1 B. y=k(x+1)3 C. y= kx3+1 D. y= kx+13 E. y=1x+13 +k - z varies directly as x and inversely as the square of y, then
A. z ∝ xy2 B. z∝ yx C. z∝ xy2 D. z∝ xy E. z∝yx - Given that xy2 is constant and x=3, when y=4, the value of x when y=8 is
A. 43 B.34 C.38 D.83 E.12 - It is given that y=kx and that 20≤x≤100 . If the smallest value of y is 30, the value of k is
A.200 B.2000 C.300 D. 3000 E.600 - If xy+x=yx+z=zx+y then each ratio=……….
A. 12 B.1 C. 1 or 0 D. 12 or -1 E. -12 or 1 - V varies as T and inversely as P. The constant of variation when T= 360, P = 736 and
V = 450 is
A. 450 B.736 C. 920 D.810 E. 360