Home
Class 14
MATHS
If a and b be positive integers such tha...

If `a` and `b` be positive integers such that `a^2-b^2=19 ,` then the value of `a` is 9 (b) 10 (c) 19 (d) 20

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos
  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

If a a n d b are positive integers, a > b and (a+b)^2-(a-b)^2> 29 , then the smallest value of a is 3 (b) 4 (c) 6 (d) 7

If a,b,c are distinct positive prime integers such that a^(2)b^(3)c^(4)=49392, find the value of a,b and c

If a,b,c are consecutive positive integers and (log(1+ac)=2K, then the value of K is log b(b)log a(c)2(d)1

If a,b,c,d are distinct integers in an A.P. such that d=a^(2)+b^(2)+c^(2), then find the value of a+b+c+d

If a,b,c and d are integers such that a+b+c+d=30, then the minimum possible value of (a-b)^(2)+(a+c)^(2)+(a+d)^(2) is

If a,b,c,d are distinct integers in A.Puch that d=a^(2)+b^(2)+c^(2), then a+b+c+d is

Let a,b,c,d be positive integers such that log_(a)b=(3)/(2) and log_(c)d=(5)/(4). If (a-c)=9, then find the value of (b-d)

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. (24+25+26)^2-(10+20+25)^2=? 352 (b) 400 (c) 752 (d) 2600 None o...

    Text Solution

    |

  2. (65)^2-(55)^2=? 10 (b) 100 (c) 120 (d) 1200

    Text Solution

    |

  3. If a and b be positive integers such that a^2-b^2=19 , then the value ...

    Text Solution

    |

  4. If a\ a n d\ b are positive integers, a\ >\ b and (a+b)^2-(a-b)^2> 29 ...

    Text Solution

    |

  5. 397xx397+104xx104+2xx397xx104=? 250001 (b) 251001 (c) 260101 (d...

    Text Solution

    |

  6. If (64)^2-(36)^2=20xxx\ t h e n\ x=? 70 (b) 120 (c) 180 (d) 140...

    Text Solution

    |

  7. ((489+375)^2-\ (489-375)^2=?)/((489xx375)) 144 (b) 864 (c) 2 (d...

    Text Solution

    |

  8. ((963+476)^2+\ (963-476)^2)/((963xx963+\ 476xx476))=? 2 (b) 4 (c) ...

    Text Solution

    |

  9. (768×768×768+232×232×232)/(786×768−768×232+232×232) =? (a) 1000       ...

    Text Solution

    |

  10. (854×854×854−276×276×276)/(854×854+854×276+276×276)=? (a) 1130        ...

    Text Solution

    |

  11. (753×753+247×247−753×247)/(753×753×753+247×247×247)=? (a) 1/1000 (b) 1...

    Text Solution

    |

  12. (256×256−144×144)/112 is equal to (a) 420        (b)  400     (c)  ...

    Text Solution

    |

  13. If a=11\ and\ b=9,\ then the value of ((a^2+b^2+a b)/(a^3-b^3)) is (a...

    Text Solution

    |

  14. If a+b+c=0,\ (a+b)(b+c)(c+a) equals (a) a b\ (a+b) (b) (a+b+c)^2 (c) -...

    Text Solution

    |

  15. If a=7,\ b=5,\ c=3, then the value of a^2+b^2+c^2-a b-b c-c a\ i s -1...

    Text Solution

    |

  16. Both addition and multiplication of numbers are operations which ar...

    Text Solution

    |

  17. Which of the following digits will replace the H marks in the follo...

    Text Solution

    |

  18. Find the missing number in the following addition problem: Figure 0...

    Text Solution

    |

  19. What number should replace M in this multiplication problem? Figure 0 ...

    Text Solution

    |

  20. If p\ a n d\ q represent digits, what is the maximum possible value...

    Text Solution

    |