Question
If x3Â + y3Â + z3Â =
3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3– 3PQR?Solution
P = y + z – x, Q = z + x – y and R = x + y – z And x3 + y3 + z3 = 3(1 + xyz); Suppose x = y = 0 then z3 = 3; P = z, Q = z and R = -z; Putting these values in below equation P3 + Q3 + R3 - 3PQR = z3 + z3 - z3 + 3z3 => 4z3 Putting z3 = 3: P3 + Q3 + R3 - 3PQR = 12
The scientist aimed to ___________ the data meticulously to ___________ the underlying principles of the newly discovered phenomenon.
Select the most appropriate option to fill in the blank.
Generally people use ______ oils for their cooking.
”Stress” is one of those concepts that ............ understands .......... no one can easily define.
Â
Directions :Â In the following passage, some of the words have been left out and replaced by a blank represented by a letter. First read the passage and...
(A) The success of the project depended on the team's _____________ to meet the tight deadlines.
(B) The contract's _____________ in ensuring com...
Fill in the blanks with appropriate forms of modals from the alternatives given below each sentence.
The door ____ paintingÂ
New Zealand will impose mask rules and limit gathering from midnight on Sunday after a cluster of nine COVID-19 Omicron cases ____________ community spr...
The sound track gives us the ____________ before the visual cue; it is as if the thunder arrives before the lightning.
Stop comparing apples to _______________.
Eight cylinder engines are _______ that use great amount of petrol.
Relevant for Exams:
