Unit-8:
(a)Sets, functions and relations
(b)Limits, continuity and derivatives
(c)Equations(linear, quadratic and cubic)
(d)Straight lines and circles
(e)Sequence and series
Q1.
A and B are two sets A ∩ (A ∪ B)' is equal to
(a) A∪B (b) A∩B (c) A (d) ∅
Solution.
A ∩ (A ∪ B)' = A ∩ (A' ∩ B') = ∅
∴ A ∩ A' = ∅
Solution
Q2.
If A = {4,5,6} , B = {4,6,7,8,9} and R is a relation from A and B defined by x is greater than y, then the Range is .
(a) {5,6} (b) {4} (c) {2} (d) {6}
Solution.
(b) {4}
Solution
Q3.
Find the Range of the function
f(x) =
x - 4/ 3 - x
(a) R - {-1} (b) R (c) R{1} (d) None of these
Solution.
(a) R - {-1}
y =
x - 4/ 3 - x
x =
4 + 3y/ y + 1
Solution
Q4.
If the sum of n terms of an A.P is n(2n + 3), find d(commom difference)
(a) 1 (b) 2 (c) 4 (d) 3
Solution.
Sn = 2n2 + 3n
Tn = Sn - Sn - 1 = Sn + 1 - Sn = 4n + 1
d = Tn - Tn-1 = Tn+1 - Tn
d = {4(n + 1) + 1} - {4n + 1}
= 4n + 5 = 4n - 1
= 4
Solution
Q5.
A pair of lines is intersecting if
(a) a1/a2 ≠ b1/b2 (b) a1/a2 =ba1ba2
(c) a1/a2 = b1/b2 =c1/c2 (d) None of these
Solution.
(a) a1/a2 ≠ b1/b2
Solution
Q6.
If the mth term of an A.P is 1/n and nth term is 1/m, then its (mn)th term is
(a) 2 (b) n (c) 1 (d) m
Solution.
(c) 1
Solution
Q7.
If
an+1 + bn+1/ an + bn
is the A.M of a and b then the value of n is.
(a) n (b) 0 (c) 2 (d) 1
Solution.
(b) 0
Solution
Q8.
If y = 8x2 + 4x , find y'
(a) log8 (b) 2x + 4 (c) 8(2x + 4) (d) 8x2 + 4x. log8(2x + 4)
Solution.
dy/dx = 8x2 + 4x. log8(2x + 4)
Solution
Q9.
In histogram, the classes are taken.
(a) Non-overlapping (b) Overlapping (c) both (d) None of these
Solution.
(b) Overlapping
Solution
Q10.
Difference between the largest and smallest value of a given data is known as.
(a) Range (b) Q.D (c) width (d) size
Solution.
(a) Range
Solution
