Home
Class 12
MATHS
For any two real numbers a and b, we def...

For any two real numbers a and b, we define a R b if and only if `sin^2a+cos^2b=1`. The relation R is

A

reflexive but not symmetric

B

symmetric but not transitive

C

transitive but not reflexive

D

an equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS , RELATIONS AND FUNCTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)|44 Videos

  • QUADRATIC EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (One or More than One Option Correct Type) |7 Videos

  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 2: Single Option Correct Type|1 Videos

Similar Questions

Explore conceptually related problems

For any two real numbers a and b,we define a R b if and only if sin^(2)a+cos^(2)b=1. The relation R is

For any real numbers theta and phi we define theta R phi if and only if sec^(2) theta - tan^(2) phi =1 the relation R is

On R,the set of real numbers,a relation rho is defined as a rho b if and only if 1+ab>0 Then

On the set R of real numbers we defined xPyi and only if xy<0. Then the relation P is Reflexive but not symmetric

Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

Let S be set of all numbers and let R be a relation on S defined by a R b hArr a^(2)+b^(2)=1 then, R is

Let A =[-1,1] . Define a relation R on A as follows: a, b in A, aRb if and only if sin^(-1)(a) + cos^(-1)(b) = pi//2 , Then

MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
  1. The number of onto functions from the set {1,2,...., 11} to the set {1...

    Text Solution

    |

  2. LEt f(x)=2^(100)x+1 and g(x)=3^(100)x+1 Then the set of real numbers x...

    Text Solution

    |

  3. For any two real numbers a and b, we define a R b if and only if sin^2...

    Text Solution

    |

  4. The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

    Text Solution

    |

  5. Let the number of elements of the sets A and B be p and q respectively...

    Text Solution

    |

  6. Let R be the set of all real numbers and f : Rrarr R be given by f(x) ...

    Text Solution

    |

  7. The function f(x)=x^(2)+bx+c, where b and c are real constants, descri...

    Text Solution

    |

  8. Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

    Text Solution

    |

  9. There is a group of 265 persons who like either singing or dancing or ...

    Text Solution

    |

  10. The number of real roots of equation log(e )x + ex = 0 is

    Text Solution

    |

  11. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

    Text Solution

    |

  12. Let f:R-> R be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of ...

    Text Solution

    |

  13. Let S={a,b,c}epsilonNxxNxxN:a+b+c=21,a<=b<=c} and T={(a,b,c)epsilon Nx...

    Text Solution

    |

  14. Let R be a relation defined on the set Z of all integers and x Ry whe...

    Text Solution

    |

  15. if A={5^(n)-4n-1: n in N} and B={16(n-1):n in N} then

    Text Solution

    |

  16. If the function R to R is defined by f(x)=(x^2+1)^(35)AA in R then f ...

    Text Solution

    |

  17. Let P be the set of all non-singular matrices of order 3 over ú and Q ...

    Text Solution

    |

  18. On the set R of real numbers we defined xPy i and only if xylt 0. T...

    Text Solution

    |

  19. On R, a relation p is defined by xpy if and only if x - y is zero or i...

    Text Solution

    |

  20. On the set R of real numbers, the relation p is defined by xpy, ( x ,y...

    Text Solution

    |