A relation R is defined on the set of na...

A relation R is defined on the set of natural numbers N as follows: R={(x,y)}|x,y in N and 2x+y=41} show that R is neither reflexive nor symmetric nor transitive.

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HIGHER SECONDARY EXAMINATION 2020.
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A relation R is defined on the set of natural numbers N as follows: R={(x,y)|x,yinN " and " 2x+y=41} . Show that R is neither reflexive nor symmetric nor transitive.

A relation R is defined on the set of natural numbers N N as follows R = {(x,y) : x,y in N N and x+3y=12} Show that R is transitive and antisymmetric but neither reflexive nor symmetric on N N .

A relation R is defined on the set of natural numbers NN as follows : R {(x,y) : x in NN and x is a multiple of y }. Prove that R is reflexive, antisymmetric and transitive but not symmetric on NN .

Let R be the relation defined on the set of natural numbers N as R {(x,y):x in N , y in N , 2x + y = 41) whether R is

A relation S is defined on the set of real numbers R R a follows: S={(x,y) : s,y in R R and and x= +-y} Show that S is an equivalence relation on R R .

A relation R is defined on the set of integers Z as follows: R{(x,y):x,y in Z and x-y" is odd"} Then the relation R on Z is -

A relation R_(1) is defined on the set of real number R R as follows : R_(1) ={(x,y) : 1+xy gt 0 , x inR R y in R R } Show that R_(1) is reflexive and symmetric but not transitive on R R .

A relation R defined on the set of natural no as follows R={(x,y),x+5y=20,x, y in N }.Find in domain and range of R.

A relation R is defined on the set of integers Z Z as follows R= {(x,y) :x,y inZ Z and (x-y) is even } show that R is an equivalence relation on Z Z .

A relation R is defined on the set of natural numbers NN as follows : (x,y)in R rArr y is divisible by x, for all x, y in NN . Show that, R is reflexive and transitive but not symmetric on NN .

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE

e) answer any one question : (i) if P(A/B)=0.8 , P(B/A)=0.6 and P(A^c ...
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answer any one question : (ii) an unbiased coin is tossed 6 times . Us...
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A relation R is defined on the set of natural numbers N as follows: R=...
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answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...
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(b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...
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if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.
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answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...
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or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...
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answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx
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or, evaluate :int dx/(cos x+sqrt 3 sin x)
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answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...
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or , solve:(1-x^2) dy/dx - xy=1 .
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(d) answer any one question : (i) if three vectors vec a, vec b and ve...
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answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...
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Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...
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answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...
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answer any one question : (ii) if X and Y are two independent variable...
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(b)answer any two questions : (i) a circular ink blot grows at the rat...
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answer any two questions :(iii) if the straight line lx+my=n be a norm...
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answer any two questions :(iv) solve :(2x-10y^3) dy/dx+y=0 .
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