Question
In the question, two quantities i.e. Quantity I and
Quantity II are given. Solve the given quantities to establish the correct relation between them and choose the correct option. Quantity I: a2c + ab2 - ac2 - ba2 + bc2 – cb + abc Quantity II: (ab + bc) (c2 - b2 - a2)Solution
ATQ, a2c + ab2- ac2- ba2 + bc2- cb2 + abc (a - b)(b - c)(c - a) + abc Minimum value, (2 - 5)(5 - 8)(8 - 2) + 2 × 5 × 8 = (- 3)(- 3) × 6 + 80 = 54 + 80 = 134 Maximum value, (4 - 7)(7 - 10)(10 - 4) + 4 × 7 × 10 = (- 3)(- 3) × 6 + 280 = 54 + 280 = 334 Quantity II (ab + bc)(c2- b2- c2) Minimum value, (2 × 5 + 5 × 8) × (82 - 52 - 22) = (10 + 40) × (64 - 25 - 4) = 50 × 35 = 1750 Maximum value, (4 × 7 + 7 × 10) × (102 - 72 - 42) = (28 + 70) × (100 - 49 - 16) = 98 × 35 = 3430 Hence, Quantity I < Quantity II .
Statements:
1.The government reduced the interest rates on home loans.
2. There has been a significant rise in the purchase of new houses.
Statement:
I. The Government increases numbers of buses between Delhi and Agra during winters.
II. There was lot of rush seen last yea...
Event (A): The announcements filed by listed companies will be disseminated directly on the NSE website without the exchange's intervention.
...
Who among the following is eldest?
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Event (A): The authorities of Lumbini Gardens have blatantly encroached upon the footpath on 4th Main, Coffee Board Layout in Nagavara.
Event (...
In the question below, two statements (I) and (II) are given. These statements may be either independent causes or may be effects of independent causes...
In the question given below, two statements (I) and (II) are given. These statements may be either independent causes or may be effects of independent ...
In the following question, select the related number from the given alternatives.
15 : 195 :: 18 : ?
Statement: The alumni of the institute returned to rescue crumbling building of 112-year-old alma mater.
I. The Building of the institute was b...
Relevant for Exams:
