ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    If a and b are two real numbers such that b > a, ab < 0,

    the sum of their squares is 458 and the difference between their squares is 120, then find the value of a - b.
    A 4 Correct Answer Incorrect Answer
    B тАУ30 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D тАУ4 Correct Answer Incorrect Answer

    Solution

    a2 + b2┬а= 458┬а------- (i)┬а a2 - b2 = 120 ------- (ii)┬а By adding (i) and (ii), 2a2 = 578 a = ┬▒ 17┬а b = ┬▒ 13 We know, b > a and ab < 0. So, a = - 17 and b = 13┬а Thus, => a - b = - 17 - 13 = - 30┬а

    Practice Next
    More Previous year papers Questions

    Relevant for Exams:

    ask-question