Home
Class 12
MATHS
If ' a ' is a natural number and ' b ' ...

If `' a '` is a natural number and `' b '` a digit such that `(3a+2007)^2=4b 85924` , then a.`a-b=31` b. `a+b=37` c. `a+b=41` d. `a-b=33`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

if a,b,c are natural number satisfying a^(2)+b^(2)=c^(2), then

If a,b,a and d are natural numbers such that a^(5)=b^(6),c^(3)=d^(4), and d-a=61, then the smallest value of c-b is :

The last digit of the number is 0 (b) 1 (c) 2 (d) 3

With usual notations in a triangle A B C , if r_1=2r_2=2r_3 then 4a=3b (b) 3a=2b 4b=3a (d) 2a=3b

If a,b,c and d are odd natural numbers such that a+b+c+d=20, the number of values of the ordered quadruplet (a,b,c,d) is

If A, B, C and D are four numbers such that A:B=2:3,B:C=4:5,C:D=5:8 , then A:D is equal to

Find the value of a,b and c such that the number a, 17, b, 37 and c are in A. P.

Let a, b, c, d, e be natural numbers in an arithmetic progression such that a + b + c + d + e is the cube of an integer and b + c + d is square of an integer. The least possible value of the number of digits of c is

RESONANCE DPP-JEE MAINS-All Questions
  1. If the difference of the roots of the equation, x^2+p x+q=0 be unity, ...

    Text Solution

    |

  2. The multiplication of a rational number 'x' and an irrational numbe...

    Text Solution

    |

  3. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2...

    Text Solution

    |

  4. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then

    Text Solution

    |

  5. The value of the sum 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo is equal to

    Text Solution

    |

  6. If n^2+2n-8 is a prime number where n in n , then n is a. also a p...

    Text Solution

    |

  7. The quadratic equation x^2-9x+3=0 has roots alphaa n dbetadot If x^2-b...

    Text Solution

    |

  8. Number of ordered pairs (a,b) for which sin^(-1)(1+b+b^2+..oo)+cos^(-1...

    Text Solution

    |

  9. Make the following expressions free from modulus sign: (x in R) |2x-...

    Text Solution

    |

  10. If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 5...

    Text Solution

    |

  11. Make the following expressions free from modulus sign: (x in R) |x+1...

    Text Solution

    |

  12. The chance that the vowels are separated in an arrangement of the l...

    Text Solution

    |

  13. The difference of the squares of two consecutive odd integers is di...

    Text Solution

    |

  14. Evaluate/simplify the following: |2 3-3 4|

    Text Solution

    |

  15. Make the following expressions free from modulus sign: (x in R) |x^2...

    Text Solution

    |

  16. Identify the correct statement If a ,b ,c are odd integers (a) a+b+c c...

    Text Solution

    |

  17. If relation R is defined as R={((x+1)/2,(x-1)/2): w h e r ex in Wa n...

    Text Solution

    |

  18. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  19. If m^2-n^2= 7, where m, n epsilon Z, then number of ordered pairs (m,...

    Text Solution

    |

  20. Number of values of k for which the lines k x+y+1=0 x+k y+2=0 x+y...

    Text Solution

    |