Home
Class 12
MATHS
Attempt the following State the truth ...

Attempt the following
State the truth Value of `x^(2) = 25`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the truth value of the equation \( x^2 = 25 \), we need to analyze the nature of the equation. ### Step 1: Identify the equation The equation given is \( x^2 = 25 \). ### Step 2: Understand the nature of the equation This equation is not a definitive statement because it contains a variable \( x \). It can be true for certain values of \( x \) and false for others. ### Step 3: Solve the equation To find out for which values of \( x \) the equation holds true, we can solve it: \[ x^2 = 25 \] Taking the square root of both sides, we get: \[ x = 5 \quad \text{or} \quad x = -5 \] ### Step 4: Determine the truth value Since \( x^2 = 25 \) can be true for \( x = 5 \) and \( x = -5 \), it is not a statement that has a definitive truth value. Instead, it is an open sentence because it depends on the value of \( x \). ### Conclusion The truth value of the statement \( x^2 = 25 \) is not defined as it is an open sentence. ---
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATRICES|63 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise TRIGONOMETRIC FUNCTIONS |44 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II PROBABILITY DISTRIBUTIONS (ACTIVITIES)|5 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Attempt the following State the truth value of (p ^^ ~p)

Attempt the following State the truth value of (p vv ~p)

Attempt the following State the truth value of sqrt(3) is not an irrational number

Which of the following statement has the truth value F ?

Which of the following are statements ? Write the truth value of each : He is an honest man.

Which of the following are statements ? Write the truth value of each : Zero is a complex number.

Which of the following are statements ? Write the truth value of each : Sky is blue.

Attempt the following If statements p, q are true and r, s are false, determine the truth values of the following. (a) ~ p ^^ (q vv ~ r) (b) (p ^^ ~r) ^^ (~q vv s)

Attempt the following : Define boiling point.

If x = 10, then the value of (4x^(2) + 20x + 25) = ?

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATHEMATICAL LOGIC
  1. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  2. Find the negation of 10 + 20 = 30

    Text Solution

    |

  3. Attempt the following State the truth Value of x^(2) = 25

    Text Solution

    |

  4. Attempt the following Write the negation of p rarr q

    Text Solution

    |

  5. Attempt the following State the truth value of sqrt(3) is not an irr...

    Text Solution

    |

  6. Attempt the following State the truth value of (p vv ~p)

    Text Solution

    |

  7. Attempt the following State the truth value of (p ^^ ~p)

    Text Solution

    |

  8. Attempt the following If statements p, q are true and r, s are false...

    Text Solution

    |

  9. Attempt the following Write the following compound statements symbol...

    Text Solution

    |

  10. Attempt the following Write the converse and contrapositive of the f...

    Text Solution

    |

  11. Without using truth table show that ~(p vvq)vv(~p^^q)-=~p

    Text Solution

    |

  12. Write the negation of the statement "An angle is a right angle if and ...

    Text Solution

    |

  13. Answer the following questions Write the following statements in sym...

    Text Solution

    |

  14. Use quantifiers to convert the given open sentence defined on N into a...

    Text Solution

    |

  15. Answer the following questions Examine whether the statement pattern...

    Text Solution

    |

  16. Using truth table prove that ~p ^^ q -=(p vv q) ^^ ~p

    Text Solution

    |

  17. Write the dual of the following 13 is prime number and India is a de...

    Text Solution

    |

  18. Answer the following questions Write the converse, inverse and contr...

    Text Solution

    |

  19. Answer the following questions Examine whether the statement pattern...

    Text Solution

    |

  20. Answer the following questions Using truth table prove that p vv (q ...

    Text Solution

    |