(a + b – 1) 2 + (b + c – 9) 2 + (c + a – 4) 2 ≤ 0 The value of a, b and c should be 0 or less than 0 for the result to be equal to or less than 0. So, from the given equation: a + b - 1 = 0 a + b = 1 ---- (1) b + c - 9 = 0 b + c = 9 ---- (2) c + a - 4 = 0 c + a = 4 ---- (3) Then, c + a = 4 c + 1 - b = 4 ---- from (1) 9 - b + 1 - b = 4 ---- from (2) - 2b = 4 - 10 b = 3 Substituting the value of b in (1), a + b = 1 a + 3 = 1 a = -2 Substituting the value of b in (2), b + c = 9 3 + c = 9 c = 6 ∴ The value of √ [(a + b)c + (c + a)b - 1] is : => √ [((-2) + 3)6 + (6 + (-2))3 - 1] ⇒ √ [ (1)6 + (4)3 - 1] ⇒ √ [1 + 64 – 1] ⇒ √64 = 8 ∴ The value of √ [(a + b)c + (c + a)b - 1] is 8.
You are required to identify the words that are contextually similar to the phrase given in bold and mark that as your answer. If none of the options ...
Select the correct meaning of the given idiom.
Slap on the wrist
Select the most appropriate meaning of the bold idiom in the given sentence.
This problem is a hard nut to crack ,it will take longer than th...
Bite your tongue
The debut disc by this Burlington act is a straight-ahead return to the kind of woman-made tuneage that was all the game five, six years ago.
...Lack of civic-mindedness or of patriotism
Mare's nest
Do a roaring trade
An idiom is used in three sentences. You need to choose the right option that covers the correct usage amongst these three sentences.
Fill in the blank given below using the correct idiom.
Despite his initial doubts, joining the painting class turned out to be _____________...