CLASS 11 TH IMPORTANT QUESTIONS PART-1 BY-ANSHU SIR

CLASS-11TH    MATHEMATICS  WEEKLY TEST ON SATURDAY 08/08/2020

CHAPTER-RELATIONS AND FUNCTIONS 

1.An ordered pair like (a,b) ,(c,d) ,(e,f) represents a point in a ,,,...............

a)plane/2-d     b)in a space/3-d   c) a and b both    d)none

2.Two ordered pairs like (a,b) and (c,d) are equal if and only if :

a)a=c and b=d  b) a=d and b=c c)a=c and b=\d d)none 

3.If the number of elements in a set A is m and the number of elements in the set B is n then total number of elements in AXB is....

a)mxn     b) m-n    c) m+n     d)none

4.what is the total number of subsets in AXB?

a)2`mxn     b)2`m-n   c)2`m+n    d)none

5.If A,B,C are finite  sets  then n(AXBXC)   =

a)n(A).n(B).n(C)   b)n(A)-n(B)xn(C)  c)n(A)xn(B)-n(C)    d)none

6.Find x and y if (x+3,5)=(6,2x+y)

7.If A={1,2,3}  B={a,b}   C={4,5,6} then find AX(B union C).

8.A=(5,7) find AXAXA=?

9.If R is the set of all real numbers ,what do the cartesian products R X R and Rx R X R represents?

10.If the ordered pairs (x,-1) and (5,y)  belong to the set {(a,b):b=2a-3}find the values of x and y.

11.let A={1,2,3,4} and R={(a,b):aEA ,bEA ,a divides b }write R explicitly.

12.A={1,2,3,} B={3,4} C={4,5,6},then find (AXB)intersection (BXC).

13.Let a={x,y,z} and B={1,2}.Find the number of relations from A to B.

14.Determine the domain and range of the relation R defined by R={(x,x+5):xE(0,1,2,3,4,5)}.

15.Let A={1,2,3,..........14}.Define a relation R from A to A by R={(x,y):3x-y=0,where x,y EA}.write down its domain,codomain and range .

16.In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

17.If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements ; how many elements does X ∩ Y have?

18.If U = {1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = {2, 4, 6, 8} and B = { 2, 3, 5, 7}. Verify that (i) (A ∪ B)′ = A′ ∩ B′.

19.10. If X= { a, b, c, d } and Y = { f, b, d, g}, find (i) X – Y (ii) Y – X (iii) X ∩ Y.

20.5. How many elements has P(A), if A = φ?

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