Paper Math Class 9th 2014-15

Paper: Mathematics    Class:9th        Name:                    Section:
Date:                Total Marks: 25                Obtained Marks:
Q.1 Tick the correct answer.
i)Which decimal is terminating
a)201.07    b)0.4        c) a and b        d) 0.222.......
ii) 3 is a number
a)irrational     b)rational     c)equal            d)none
iii)If a=b then b=a, for all a, belongs to R is called
a)reflexive    b)symmetric    c)transitive        d)additive
iv)a-1 is written as
a)1/a2        b)1/a-1            c)1/a-2            d)1/a
v)The conjugate of z=-5 is
a)5        b)-5            c)-5+0i            d) b and c
Q.2 Attempt any six questions.
i)Find value of x and y if x+iy+1=4-3i    ii)Express 2i2+6i3+3i16-6i19+4i25 in form of a+ib
iii)Simplify (9-7i)/(3+i)    iv)If Z(1+i)/(1-i)then find Z.Z
v)Simplify〖[x3y4z5]〗^(1/5)/〖[x-2y-1z-5]〗^(1/5)         vi)Simplify(x3)2 ÷x3
vii)Solve [a2t/al+m] [a2m/am+n] [a2n/an+l]
viii)If Z=2+3i and W=5-4i then prove that Z+W=Z+W
Q.3 Attempt any two questions.
a)Use laws of exponents to simplify (81)n 35 - (3)4n-1 (243)/(92n)(33)
b)Simpify (2-3i)(3-2i) in the form of a+ib
c)Simlify (2)1/3 (27)1/3 (60)1/2 /(180)1/2 (4)-1/3 (9)1/4