Home
Class 12
MATHS
In a set of real numbers a relation R is...

In a set of real numbers a relation `R` is defined as `xRy` such that `|x|+|y|lt=1`, then relation R is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y):y=2x,x,y in N} What is the domain,codomain and range of R? Is this relation a function?

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 R, the set of real numbers, a relation p is defined as ‘apb if and only if 1 + ab lt 0. Then

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 the set of all real numbers and Let R be a relations on s defined by a R B hArr |a|le b. then ,R is

Let Q be the set of all rational numbers and R be the relation defined as: R={(x,y) : 1+xy gt 0, x,y in Q} Then relation R is

For real numbers x and y define a relation RxRy hArr|x|=|y|, the relation R is

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the values of a and b such that the function defined by f(x)=...

    Text Solution

    |

  2. In a geometric progression with common ratio q, the sum of the firs...

    Text Solution

    |

  3. In a set of real numbers a relation R is defined as xRy such that |x|+...

    Text Solution

    |

  4. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |

  5. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))...

    Text Solution

    |

  6. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  7. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  8. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  9. int(dx)/((1+x)sqrt(1+x-x^2)) dx

    Text Solution

    |

  10. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  11. Consider quadratic equations x^2-ax+b=0 and x^2+px+q=0 If the above eq...

    Text Solution

    |

  12. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |

  13. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12)...

    Text Solution

    |

  14. An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) passes through the point (...

    Text Solution

    |

  15. A particle moves along the parabola y=x^(2) in the first quadrant in s...

    Text Solution

    |

  16. The area bounded by y = 3-|3-x| and y=6/(|x+1|) is

    Text Solution

    |

  17. If A B=A ,B A=B then (A+B)^n= (where n in N) (A^2+B^2) (2) (A+B) A...

    Text Solution

    |

  18. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

    Text Solution

    |

  19. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

    Text Solution

    |

  20. The roots of the quadratic equation (a+b-2c)x^2-(2a-b-c)x+(a-2b+c)=0 a...

    Text Solution

    |