Unit-8:
(a)Sets, functions and relations
(b)Limits, continuity and derivatives and integration
(c)Equations(linear, quadratic and cubic)
(d)Straight lines and circles
(e)Sequence and series
(f)Mathematical reasoning
(g)Matrices and Determinants
Q1.
The range of {(2,10)(3,10)(4,10)} is .
(a) 2 (b) 4 (c) 3 (d) 10
Solution.
(d) 10
Solution
Q2.
Integrate the function ,
y = ex(1/x - 1/x2)
(a) ex/x + c (b) ex + c
(c) 1/x + c (d) xex + c
Solution.
(a) ex/x + c
Solution
Q3.
If A = {3,4,5}, B = {6,7,8,10} and f = {(3,6)(4,7)(5,8)} is a function from A to B , f is one-one or not
(a) Yes (b) No (c) Can't say
Solution.
(a) Yes
Solution
Q4.
If matrix are equal matix .
(a) Their order will be same
(b) Corresponding element should be same
(c) Both a and b
(d) None of these
Solution.
(c) Both a and b
Solution
Q5.
Two matrix A and B having order (2 x 3) and (3 x 1) then which product is possible.
(a) AB (b) BA (c) Both
(d) None
Solution.
(a) AB
Solution
Q6.
If A is square matrix of order (3 x 3) then find the value of k if I3AI = kIAI .
(a) 9 (b) 3 (c) 27 (d) 81
Solution.
(c) 27
Solution
Q7.
Find the value of 'k' for which the system of equations kx + 2y = 5 and 3x + y = 2 has no solution is .
(a) 1/3 (b) 1/6 (c) 3 (d) 6
Solution.
(d) 6
Solution
Q8.
If T8 = 30, find S15 .
(a) 600 (b) 450 (c) 300 (d) 150
Solution.
(b) 450
Solution
Q9.
If the sum of n terms of an A.P be 2n2 + 5n . find its nth term.
(a) 5n + 2 (b) 5n - 1
(c) 4n - 3 (d) 4n + 3
Solution.
(d) 4x + 3
Solution
Q10.
The four lines ax ± by ± c = 0 , enclose a rhombus whose area is .
(a) 2a2/abc
(b) abc (c) 2/ab (d) 2c2/ab
Solution.
(d) 2c2/ab
Solution