WorksheetsMATH (CLASS -11)
Total questions: 21
Worksheet time: 29mins
The set of all the points on the circumference of circle is
finite set
infinite set
empty set
null set
If A={1, 3, 5} How many elements has P(A)
8
6
9
4
Find the domain and range of the real function f(x)=1+x2x
(-1 ,1)
[-1 ,1]
All real no.
none these
Findthedomainandrangeoftherealfunctionf(x)=1−x21
R- {-1 ,1}
R- [-1 ,1]
(1, -1)
[-1 ,1]
if order pair (2a + b, a – b) = (8, 3) value of "a" and "b" is
11/3, 2/3
-11/3 ,-2/3
11/3 ,-2/3
-11/3 ,2/3
The value of cos 180° is
(a) 0
(b) 1
(c) -1
(d) infinite
If 3 × tan(x – 15) = tan(x + 15), then the value of x is
(a) 30
(b) 45
(c) 60
(d) 90
The value of tan 20 × tan 40 × tan 80 is
(a) tan 30
(b) tan 60
(c) 2 tan 30
(d) 2 tan 60
The sum of the series 1³ + 2³ + 3³ + ………..n³ is
(a) {(n + 1)/2}²
(b) {n/2}²
(c) n(n + 1)/2
(d) {n(n + 1)/2}²
The nth terms of the series 3 + 7 + 13 + 21 +………. is
(a) 4n – 1
(b) n² + n + 1
(c) none of these
(d) n + 2
The value of √(-16) is
(a) -4i
(b) 4i
(c) -2i
(d) 2i
If ω is an imaginary cube root of unity, then (1 + ω – ω²)7 equals
(a) 128 ω
(b) -128 ω
(c) 128 ω²
(d) -128 ω²
The value of i−999
(a) 1
(b) -1
(c) i
(d) -i
If {(1 + i)/(1 – i)}n = 1 then the least value of n is
(a) 1
(b) 2
(c) 3
(d) 4
There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is
(a) 185
(b) 210
(c) 220
(d) 175
The number of ways in which 8 distinct toys can be distributed among 5 children is
85
8P5
5P5
The coefficient of y in the expansion of (y² + c/y)5 is
(a) 10c
(b) 10c²
(c) 10c³
(d) None of these
If a, b, c are in G.P., then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in
(a) AP
(b) GP
(c) HP
(d) none of these
The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1
(a) 240
(b) 280
(c) 330
(d) 350
The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is
(a) 1
(b) 2
(c) 3
(d) 4
If 2/3, k, 5/8 are in AP then the value of k is
(a) 31/24
(b) 31/48
(c) 24/31
(d) 48/31
