Home
Class 12
MATHS
If P = {x in R : f(x) = 0} and Q = {x in...

If `P = {x in R : f(x) = 0}` and `Q = {x in R : g(x) =0}`, then `P uu Q `is

A

`{x in R : f(x) + g(x) = 0}`

B

`{x in R L f(x) g(x) = 0}`

C

`{x in R : (f(x))^2 + (g(x))^2 = 0}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 57

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
  • NTA TPC JEE MAIN TEST 59

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If P={x in R : f(x)=0} and Q={x in R : g(x)=0 } , then PuuQ is

Let P = { x : x in R , |x| Q = {x:x in R , |x -1 |ge 2} P uu Q = R - S then set S is : (where R is the set of real number)

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If f(x)={1,x in Q and f(x)=-1,x in R-Q.Iff(1)+f(2)+f(pi)+f(p)=0, then p cannot be

f(x)=x^(2),x in RS in[0,4]g(A)={x:x in R,f(x)in A} where A sub R which one is incorrect (where P sub Q means P is subset of Q )

Let f(x)=x^(2)+2px+2q^(2) and g(x)=-x^(2)-2px+p^(2) (where q ne0 ). If x in R and the minimum value of f(x) is equal to the maximum value of g(x) , then the value of (p^(2))/(q^(2)) is equal to

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 58-MATHEMATICS
  1. Let alpha1, alpha2 and beta1, beta2 are roots of the equation ax^2 + ...

    Text Solution

    |

  2. The value of sum(r = 1)^(50) (1^3 + 3^3 + 5^3 + ..... + (2r - 1)^3)/(1...

    Text Solution

    |

  3. If P = {x in R : f(x) = 0} and Q = {x in R : g(x) =0}, then P uu Q is

    Text Solution

    |

  4. If the length of a focal chord of parabola y^ = 4x is 25/4 and has a p...

    Text Solution

    |

  5. If (a,b), (c,d), (e, f) are the vertices of a triangle such that a, c,...

    Text Solution

    |

  6. Let |veca| = 2, |vecb| = 5 . The possible value of k for which the vec...

    Text Solution

    |

  7. Which of the following function is surjective but not injective?

    Text Solution

    |

  8. If lim(x to 1) (ax^3 + bx^2 + cx + d)/((x - 1)^3) exists and finite, t...

    Text Solution

    |

  9. If y = f(x) satisfies the condition f(x) = f(4 – x) AA x in (0, 4), f ...

    Text Solution

    |

  10. If int (2 cos x + 3 sin x)/(3 cos x + 4 sin x) dx = Ax + B , then ln |...

    Text Solution

    |

  11. ~ (p <rarr q) ^^ p is equal to

    Text Solution

    |

  12. If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then w...

    Text Solution

    |

  13. Each side of an equilateral triangle subtends an angle of 60^@ at the ...

    Text Solution

    |

  14. The value of x satisfying the equation (sin^(-1)x)^3 - (cos^(-1)x)^3 +...

    Text Solution

    |

  15. The number of points where the function, f(x) = cos|2018pi – x| + sin|...

    Text Solution

    |

  16. The hyperbola (x^2)/(a^2) - (y^2)/(b^2) = 1, the area of the triangle ...

    Text Solution

    |

  17. Let f (x) is a differentiable function such that f (x + y) = f (x) + f...

    Text Solution

    |

  18. If 270^@ lt theta lt 360^@, then sqrt(2 + sqrt(2 + 2cos theta)) is equ...

    Text Solution

    |

  19. The general solution of the trigonometric equation sin x – cos x = 1 i...

    Text Solution

    |

  20. If omega is non real root of equation x^3 – 1 = 0 then value of sum(r ...

    Text Solution

    |