Home
Class 12
MATHS
Consider the statement p : If a cylinder...

Consider the statement p : If a cylinder is right circular cylinder then its volume is `(1)/(3)pir^(2)h`.
Contrapositive of the statement p is

A

If the volume of a cylinder is `(1)/(3)pir^(2)h` then it is not right circular cylinder

B

If the volume of a cylinder is not `(1)/(3)pir^(2)h` then it is not right circular cylinder

C

If the volume of a cylinder is not `(1)/(3)pir^(2)h` then it is not right circular cylinder

D

If a cylinder is not right circular cylinder then its volume is not `(1)/(3)pir^(2)h`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 104

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 107

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

p : If a cylinder is right circular cylinder then its volume is 1/3pir^2h Contrapositive of statement p is

The contrapositive of the statement ''if p, then q '', is

Consider the statement p : If slope of a straight line is 1 then it is equally inclined to both the axes. Then, the contrapositive of the statement p is

Consider the statement p : If a hexagon is regular than all its sides and angles are equal. The contrapositive of statement p is

Contrapositive of the conditional statement (~p)to (p^^q) is

The height of a right circular cylinder of maxium volume inscirbed in a sphere of radius 3 is

The height of right circular cylinder of maximum volume in a sphere of diameter 2a is

The radius of the base and height of a solid right ciruclar cylinder are in the ratio 2:3 and its volume is 1671 cm^(3) .Find the total surface area of the cylinder.

NTA MOCK TESTS-NTA JEE MOCK TEST 106-MATHEMATICS
  1. The value of the integral int(0)^(4){x^(3)-6x^(2)+12x-4+(x-2)cos(x-2)}...

    Text Solution

    |

  2. Let a,lambda,mu in R, Consider the system of linear equations ax+2y=la...

    Text Solution

    |

  3. Consider the statement p : If a cylinder is right circular cylinder th...

    Text Solution

    |

  4. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

    Text Solution

    |

  5. Let int(10lnx)/(x^(2))dx=f(x), for all positive x. If f(e )=(1)/(e ), ...

    Text Solution

    |

  6. If f(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+…… upto, oo, t...

    Text Solution

    |

  7. The area (in square units) bounded byy=x^(2)+x+1 and x+y=2 is

    Text Solution

    |

  8. Suppose cos^(2)y.(dy)/(dx)=sin(x+y)+sin(x-y), |x| le (pi)/(2) and |y|l...

    Text Solution

    |

  9. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  10. If a number of ellipse whose major axis is x - axis and the minor axis...

    Text Solution

    |

  11. Find the set of all values of a for which the roots of the equation x^...

    Text Solution

    |

  12. Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin...

    Text Solution

    |

  13. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

    Text Solution

    |

  14. Let veca=(cos theta)hati-(sin theta)hatj, vecb=(sin theta)hati+(cos th...

    Text Solution

    |

  15. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  16. A line is drawn from the point P(1, 1, 1) and perpendicular to a line ...

    Text Solution

    |

  17. If alpha,beta,gamma are the roots of p x^2+q x^2+r=0, then the value o...

    Text Solution

    |

  18. If f(x)=sin^(-1)""(2*(3)^(x))/(1+9^(x)), then f'(-(1)/(2)) is equal to

    Text Solution

    |

  19. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  20. The number of ways in which four different letters can be put in their...

    Text Solution

    |