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If A={x,y):x^(2)+y^(2)=25} and B={(x,...

`If A={x,y):x^(2)+y^(2)=25} and `
`B={(x,y):x^(2)+9y^(2)=144},` then ` A cap B ` contains

A

`A cap B` is a singleton

B

`A cap B = phi`

C

`A cap B` consists of at least two points but is finite

D

`A cap B` is an infinite set

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE ( LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. Let A = {(x,y) in R xx R : y = 5^(x) + 3^(x)} B = {(x,y) in R xx R :...

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  3. If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A ...

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  4. Let A = {z : z in C, iz^(3) + z^(2) -z + i=0} and B ={z : z in C, |z|=...

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  5. Let A and B be two finite sets such that A cap B is a singleton. If n...

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  6. A set contains 2n+1 elements. The number of subsets of this set conta...

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  7. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

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  8. Let N denotes the set of all natural numbers. Define two binary relati...

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  9. Consider the following two binary relations on the set A = {a,b,c},...

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  10. On C, the set of complex number, define a relation R as follows: R =...

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  11. Let M = {({:(a,b),(-b,a):}): a,b in R " and " a^(2) + b^(2) ne 0} De...

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  12. Let A and B be two sets such that A - B = B-A, then

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  13. Let A and B be two sets defined as follows: A = {(x,y) in R xx R : y...

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  14. Suppose A(1), A(2),………..A(45) sets such that each A(i) has 6 elements ...

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  15. Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal ...

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  16. If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

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  17. Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

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  18. Let f, g: R to R by f(x) = x|x| -1 AA x in R and g(x) = {{:(3/2x, if...

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  19. Let A = [-1, 1]. Which of the following functions on A is not a biject...

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  20. Let f: R -{0} to R be defined by f(x) =x + 1/x, then range of g(x) =...

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