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The relation R in the set {1,2,3} given ...

The relation R in the set `{1,2,3}` given by R = `{(1,2), (2,1),(1,1)}` is
A) symmetric and transitive, but not reflexive
B) reflexive and symmetric, but not transitive
C) symmetric, but neither reflexive nor transitive
D) an equivalence relation

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    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

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Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Give an example of a relation which is symmetric but neither reflexive nor transitive.

Give an example of a relation which is reflexive and symmetric but not transitive.

Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 2),\ (2,\ 1)} is symmetric but neither reflexive nor transitive.

The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Every relation which is symmetric and transitive is also reflexive.

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is (a) reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Differentiate sec^2 (x^2) with respect to x^2

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  2. Find the general solution of the differential equation e^(y-x) dy/dx ...

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  3. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  4. If the radius of circle is increasing at the rate of 0.5 cm/s, then th...

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  5. The function f : R rarr R given by f(x) = - |x-1| is (a) continuous...

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  6. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  7. Find a vector vecr equally inclined to the three axes and whose magnit...

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  8. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  9. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  10. The coordinates of the foot of the perpendicular drawn from the point ...

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  11. If A={1,3,5}, then the number of equivalence relations on A containing...

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  12. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  13. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  14. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 is ...

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  15. The range of the principal value branch of the function y= sec^(-1)x i...

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  16. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  17. If |vec(a)| = 4 and -3 le lamda le 2,then Ilambda vecaI lies in (A)...

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  18. The principle value of cos^(-1)(-1/2) is ......

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  19. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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  20. A purse contains 3 silver and 6 copper coins a second purse contains 4...

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