Question
If P = 7 + 4√3 and PQ = 1, then what is the value of
1/P2 + 1/Q2?Solution
P = 7 + 4√3 PQ=1 Q=1/(7 + 4√3) Rationalizing the denominator i.e multiplying both numerator and denominator with 7 − 4√3 Q = 7 − 4√3 1 / P2 + 1 / Q2 = P2 + Q2 / P2Q2 = (P+Q)2 −2PQ / P2Q2 P +Q = 7 + 4√3 + 7 − 4√3 P+Q = 14 PQ = 1 Therefore = (196-2)/1 =194
In a family, J is the father of P. J has only two children. P is the brother of I. I is the daughter of M. Z is the grand-daughter of M. W is the father...
Select the figure from the options that can replace the question mark (?) and complete the given pattern.
Select an appropriate figure from the four options that will come next in the following figure.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
- Select the figure that will replace the question mark (?) in the following figure series.
Which answer figure will complete the pattern in the question figure?
Identify the figure that completes the pattern.
Identify the missing part of the given figure and select it from given answer figures.
Select the figure that will replace the question mark (?) in the following figure series.
In each of the following questions which one of the answer figures shall complete the given question figure.
Relevant for Exams:
