If A={x:f(x)=0} and B={x:g(x)=0} then Ac...

If A={x:f(x)=0} and B={x:g(x)=0} then A`cap`B will be

`[f(x)]^(2)`+`[g(x)]^(2)`=0

`f(x)/g(x)`

`g(x)/f(x)`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SETS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos
SETS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos
SEQUENCES AND SERIES
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos
STATISTICS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

Similar Questions

Explore conceptually related problems

Let A={x:x in R, x^(2) -5x+6=0} and B={x:x in R, x^(2)=9 } i. Write A and B in roster form. ii. Find A cup B and A cap B. Find A-B, B-A and verify that (A-B) cup (B-A)=(A cup B)-(A cap B).

If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2 , then (A) f(g(x))=x^2,x!=0,h(g(x))=1/(x^2) (B) h(g(x))=1/(x^2),x!=0,fog(x)=x^2 (C) fog(x)=x^2,x!=0,h(g(x))=(g(x))^2,x!=0 (D) none of these

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to

if f(x) =ax +b and g(x) = cx +d , then f[g(x) ] - g[f(x) ] is equivalent to

If set A ={x|(x^2(x-5)(2x-1))/((5x+1)(x+2)) lt 0 } and Set B={x|(3x+1)/(6x^3+x^2-x) gt 0 } " then " A cap B does not contain

If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a gt b gt 0) are constants, then prove that f(x) is a periodic function.

Let f(x) be a non-positive continuous function and F(x)=int_(0)^(x)f(t)dt AA x ge0 and f(x) ge cF(x) where c lt 0 and let g:[0, infty) to R be a function such that (dg(x))/(dx) lt g(x) AA x gt 0 and g(0)=0 The number of solution(s) of the equation |x^(2)+x-6|=f(x)+g(x) is/are

Let g(x)=1+x-[x] and f(x)={-1,x 0. Then for all x,f(g(x)) is equal to (where [.] represents the greatest integer function). (a) x (b) 1 (c) f(x) (d) g(x)

Let f(x) be a non-positive continuous function and F(x)=int_(0)^(x)f(t)dt AA x ge0 and f(x) ge cF(x) where c lt 0 and let g:[0, infty) to R be a function such that (dg(x))/(dx) lt g(x) AA x gt 0 and g(0)=0 The total number of root(s) of the equation f(x)=g(x) is/ are

Let f(x) be a non-positive continuous function and F(x)=int_(0)^(x)f(t)dt AA x ge0 and f(x) ge cF(x) where c lt 0 and let g:[0, infty) to R be a function such that (dg(x))/(dx) lt g(x) AA x gt 0 and g(0)=0 The solution set of inequation g(x)(cos^(-1)x-sin^(-1)) le0

NEW JOYTHI PUBLICATION-SETS-EXERCISE

Out of 800 boys in a school, 224 played cricket, 240 played hockey and...
Text Solution
|
In a college of 300 students, every student reads 5 newspapers and eve...
Text Solution
|
If A and B are two given sets then Acap (A capB)^(c) is equal to
Text Solution
|
Let n(U)=700, n(A)=200, n(B)=300 and n(AcapB)=100, then n(A^(c)capB^(c...
Text Solution
|
In Rule Method the null set is represented by
Text Solution
|
If A and B are not disjoint sets then n(AcupB) is equal to
Text Solution
|
Let A and B be two sets such that n(A)=0.16, n(B)=0.14, n(AcupB)=0.25 ...
Text Solution
|
In a city 20% of the population travels by car, 50% travels by bus and...
Text Solution
|
Given n(U)=20, n(A)=12, n(B)=10, n(AcapB)=4 where U is the universal s...
Text Solution
|
If A={x:f(x)=0} and B={x:g(x)=0} then AcapB will be
Text Solution
|
Let A and B be two non empty subsets of a set X such that A is not a s...
Text Solution
|
If A={phi,{phi}}, then the power set of A is
Text Solution
|
If a set A has n elements, then the total number of subset of A or the...
Text Solution
|
The number of non empty subset of the set {1,2,3,4} is
Text Solution
|
If A={x:x is a multiple of 3} and B={x:x is multiple of 5} then A-B is
Text Solution
|
Which of the following is empty set?
Text Solution
|
In Rule Method the null set is represented by
Text Solution
|
The number of subsets of {1,2,3,. . . . . .,9} containing atleast one ...
Text Solution
|
Given A={x:x is a root of x^(2)-1=0} B={x:x is a root of x^(2)-2x+1=0}...
Text Solution
|
If A={1,2}, B={{1},{2}}, C={{1},{1,2}}. Then which is true?
Text Solution
|