Home
Class 12
MATHS
The number of elements in the set {(a,b)...

The number of elements in the set `{(a,b), 2a^(2) +3b^(2) =35, a, b, in ZZ}` where `ZZ` is the set of integers, is-

A

16

B

8

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Discuss the surjectivity of the following mapping: f: ZZ rarr ZZ defined by f(x)=2x-1 , for all x in ZZ , where ZZ is the set of integers.

Show that the function f:ZZ rarrZZ defined by f(x)=2x^(2)-3 for all x in ZZ , is not one-one , here ZZ is the set of integers.

Let A= {-1, 0,1,2,3} and f: A to ZZ be given by f(x) =x^(2) -5x+7, where ZZ is the set of integers, then per-image of 7 is-

If two integers a and b be such that -2 lt a lt 0 and 0 lt b lt 2 , then show that (i) (a +b) belongs to the set of whole numbers W : (ii) (b-a) belongs to the set of natural numbers N : (iii) (a-b) belongs to the set of integers Z .

If the number of elements in sets A and B are 3 and 1 respectively then the number of relations from A to B is

Let S = {(a,b,c) in N xx N xx N : a+b+c=21, a le ble c} and T = {(a,b,c) in N xx N xx N : a,b,c are in A.P} where N is the set of all natural numbers . Then the numbers of elements in the set S cap T is

If the number of elements of set A are n, then show that the number of sub sets of A are 2^n .

Let A = {-1, 0, 1, 2, 3} and f: A rarrZZ be given by f(x)=x^2-5x+7, where ZZ is the set of integers. Find the range of f.

For any two sets A and B, prove that P(A cap B) = P(A) capP(B) where P(A) is the power set of A.

Write the negation of each of the follwing quantified statements : {If ZZ is the set of all integers , then EEx in ZZ such that x is a natural number }

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. If phi is the empty set then which one of the following is correct ?

    Text Solution

    |

  2. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

    Text Solution

    |

  3. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

    Text Solution

    |

  4. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  5. In a class containing 120 students, 65 students dring tea and 84 stude...

    Text Solution

    |

  6. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

    Text Solution

    |

  7. Which one of the following is correct for the graph of y=|x| ?

    Text Solution

    |

  8. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

    Text Solution

    |

  9. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

    Text Solution

    |

  10. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

    Text Solution

    |

  11. If n is any integer, then all the points at which the function f (x) =...

    Text Solution

    |

  12. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

    Text Solution

    |

  13. If the function f (x) is differentiable at x=h, then the value of lim(...

    Text Solution

    |

  14. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

    Text Solution

    |

  15. If l(x) is the least interger not less than x and g(x) is the greatest...

    Text Solution

    |

  16. If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

    Text Solution

    |

  17. Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when...

    Text Solution

    |

  18. If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which ...

    Text Solution

    |

  19. The deerivative of y=(1-x) (2-x) ..(n-x) at x=1 is equal to-

    Text Solution

    |

  20. If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)](x=0)...

    Text Solution

    |