Home
Class 12
MATHS
Prove that the following sets A,B,C D ar...

Prove that the following sets A,B,C D are equivalent. Where`A={1,2,3,4,...},B={2,4,6,8,...},C={1,3,5,7,} D={1,8,27,64,125,...}.`

Promotional Banner

Topper's Solved these Questions

  • PREVIOUS YEAR QUESTION 2020

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |46 Videos

  • VECTORS THREE DIMENSIONAL GEOMETRY

    USHA PUBLICATION|Exercise EXERCISE|81 Videos

Similar Questions

Explore conceptually related problems

Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}, (2, 4, 6, 8, 10,...) (1,3,5, 7, 9,...), {1, 4, 9, 16, 25...)

Show that the two sets {1, 2, 3,…….} and {3, 4, 5, ……..} are equivalent.

Prove the following : sin^4theta=3/8-1/2 cos2theta+1/8 cos4theta

Calculate the area of the triangle ABC (by vector method) where A(1,2,4), B(3,1,-2), C(4,3,1)

Show that the points A(2, 3, -4), B(1, -2, 3) and C(3, 8, -11) are collinear.

USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Find the feasible region of the inequations x+2ylt8, 2x+ylt8 and xgt0,...

    Text Solution

    |

  2. Find the feasible region of the inequations 2x1+4x2gt40, 3x1+2x2gt60, ...

    Text Solution

    |

  3. Shade the feasible region satisfying ineuations x1+2x2ge10, 2x1+2x2ge1...

    Text Solution

    |

  4. Shade the feasible region satisfying ineuations x+2yle10, x+yge1, x-yl...

    Text Solution

    |

  5. Shade the feasible region satisfying ineuations 4x+3yle60, 2x-yle0, x-...

    Text Solution

    |

  6. Prove that the following sets A,B,C D are equivalent. WhereA={1,2,3,4,...

    Text Solution

    |

  7. Let n be a positive integer,and a function f be defined as follows:{(0...

    Text Solution

    |

  8. Let f be an invertible function . Then prove that (f^(-1))^(-1) = f.

    Text Solution

    |

  9. If P(A/B) gt P(A) then prove that P(B/A) gt P(B)

    Text Solution

    |

  10. If :f(x)=log((1+x)/(1-x)),then show that f(a)+f(b)=f((a+b)/(1+ab))and ...

    Text Solution

    |

  11. If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...

    Text Solution

    |

  12. If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...

    Text Solution

    |

  13. Solve:Sin^-1x+sin^-1(1-x)=cos^1x

    Text Solution

    |

  14. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

    Text Solution

    |

  15. If: tan (pi cos""theta/2)=cot(pisin"theta/2),then show thattheta=sin^1...

    Text Solution

    |

  16. Maximize Z=6x1+10x2subject to x1+2x2gt10,2x1+2x2gt12,3x1+x2gt8,x1,x2gt...

    Text Solution

    |

  17. Solve graphically 4x+7yle28

    Text Solution

    |

  18. Let an LPP be as follows: Maximize Z=3x1+5x2 subject to x1+2x2le12, 2x...

    Text Solution

    |

  19. 11.Minimize Z=20x1+40x2subject to the constraints36x1+6x2ge108,3x1+12x...

    Text Solution

    |

  20. Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...

    Text Solution

    |