1. The relation f is defined by (f(x)={begin{matrix}x^2,mathrm{ 0} le xle3\3x,mathrm{ 3}le xlemathrm{10}\end{matrix}) (g(x)={begin{matrix}x^2,mathrm{ 0} le xle2\3x,mathrm{ 2}le
Category: Ncert
Ncert Solutions Class 11 Chapter 2 Relations and Functions Miscellaneous Exercise Question 2
2. If (f(x)=x^2), find (frac{f(1.1)-f(1)}{(1.1-1)}). Relations and Functions Miscellaneous Exercise Previous Next Class 11 Relations and Functions Miscellaneous Exercise
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 10
10. Find sets A, B and C such that A∩B, B∩C and A∩C are non-empty sets and A∩B∩C=(phi).
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 9
9. Let A and B be sets. If A∩X=B∩X=(phi) and A∪X=B∪X for some set X, show that A=B.
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 8
8. Show that A∩B=A∩C need not imply B=C. Sets Miscellaneous Exercise Previous Next Class 11 Sets Miscellaneous Exercise 1.
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 7
7. Using properties of sets, show that (i) A∪(A∩B)=A (ii) A∩(A∪B)=A. Sets Miscellaneous Exercise Previous Next Class
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 6
6. Show that for any sets A and B, A=(A∩B)∪(A–B) and A∪(B–A)=(A∪B). Sets Miscellaneous Exercise Previous Next Class
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 5
5. Show that if AB, then C–B ⊂ C–A. Sets Miscellaneous Exercise Previous Next Class 11 Sets Miscellaneous Exercise
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 4
4. Show that the following four conditions are equivalent: (i) A⊂B
Ncert Solutions Class 11 Chapter 1 Sets Miscellaneous Exercise Question 3
3. Let A, B, and C be the sets such that A∪B=A∪C and A∩B=A∩C. Show that B=C. Sets