Home
Class 12
MATHS
Which of the following is not equivalent...

Which of the following is not equivalent to `(p^^~ q)->r`
(a) `~(q v ~ p)->r`
(b) `~ r->(~ p v q)`
(c)`~((p^^(~ q))^^(~ r))`
(d) `~ r->(~ p^^q)`

A

`~ (qv ~p) rarr r`

B

`~ r rarr (~ p v q)`

C

`~r rarr (~ p ^^ q)`

D

`~((p^^(~q))^^(~r))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER

    RESONANCE ENGLISH|Exercise CHEMISTRY|24 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos
  • TEST PAPERS

    RESONANCE ENGLISH|Exercise MATHEMATICS|259 Videos

Similar Questions

Explore conceptually related problems

p ^^ ( q ^^ r) is logically equivalent to

Let A= {p, q, r} . Which of the following is an equivalence relation on A ? (a) R_1 = {(p, q), (q, r), (p, r), (p, q)} (b) R_2 = {(r,q), (r, p), (r.r), (q, r)} (c) R_3 = {(p, p), (q,q), (r, r), (p, q)} (d) one of these

The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to (a) (~p^^~q)^^r (b) ~p vv r (c) (p^^r)^^~q (d) (p^^~q)vvr

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

Match the following column s: Column-I " " Column-II Negation of (~ p->q) is " " p. [~(p v q)]^^[p v(~ p)] Negation of (pharrq) " " q. (p^^~ q)vv(~ p^^q) Negation of (pvvq)i s " " r. ~ p^^~ q pharrq is equivalent to " " s. ~ p^^~ q

If q is false and (p ^^ q) harr r is also true then which of the following are tautology (A) (pvvr) rarr (p^^r) (B) (pvvr) (C) (p^^r)rarr (pvvr) (D) p^^r

The roots of the equation (q-r)x^2+(r-p)x+p-q=0 are (A) (r-p)/(q-r),1 (B) (p-q)/(q-r),1 (C) (q-r)/(p-q),1 (D) (r-p)/(p-q),1

If q is false and (p^^q)harr r is also true then which of the following are tautology (A) (pvvr)-gt(p^^r) (B) (pvvr) (C) (p^^r)-gt(pvvr) (D) p^^r

The mean of is same as the mean of Then which of the following is correct? p=q=r (b) q=r=s q=r (d) p=r+s

Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, q-r),(r-p, r-q, 0)|=0

RESONANCE ENGLISH-TEST PAPER-MATHEMATICS
  1. Let A and B be two events such that P(A)=0.3,P(B)=0.4 and P(A^(')capB^...

    Text Solution

    |

  2. Number of identical terms in the sequence 2, 5, 8, 11, ... up to 100 t...

    Text Solution

    |

  3. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

    Text Solution

    |

  4. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  5. If a curve is represented parametrically by the equations x=4t^(3)+3 a...

    Text Solution

    |

  6. If int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1...

    Text Solution

    |

  7. The slope of one of the common tangent to circle x^(2)+y^(2)=1 and ell...

    Text Solution

    |

  8. If the equation 3x^(2)+6xy+my^(2)=0 represents a pair of coincident st...

    Text Solution

    |

  9. No. of solutions of 16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi is

    Text Solution

    |

  10. Let f : [-1, -1/2] rarr [-1, 1] is defined by f(x)=4x^(3)-3x, then f^(...

    Text Solution

    |

  11. Equation of normal to y=tan x at (alpha, tan alpha)

    Text Solution

    |

  12. Let f(x) = a0+a1x+a2x^2+........anx^n , where ai are non-negative inte...

    Text Solution

    |

  13. If f(x)=secx, then

    Text Solution

    |

  14. Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

    Text Solution

    |

  15. If y(x) is the solution of the differential equation (dy)/(dx)=-2x (y-...

    Text Solution

    |

  16. A={1, 2, 3, ..., 9}. If three numbers are selected from set A and are ...

    Text Solution

    |

  17. If alpha, beta are roots of the equation x^(2) + x + 1 = 0, then the e...

    Text Solution

    |

  18. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Let a relation R on the set N of natural numbers be defined at (x ,y) ...

    Text Solution

    |