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
If all the digits of each number are added, the sum of which number will be the largest?
Read the directions carefully and answer the following question.
Select the correct combination of mathematical signs that can sequentially rep...
Select the number-pair that is different from the other three.
Select the correct combination of mathematical signs that can sequentially replace '*' sign and balance the equation given below.
196 * 7 * 45 * ...
If all the numbers are arranged in descending order from right to left, which of the following will be the product of the all three digits of the number...
- This question is based on the five, three-digit numbers given below.
(Left) 879 896 884 936 985 (Right)
(Example- 879 – First digit = 8, seco... Two bus tickets from city A to B and three tickets from city A to C cost ₹ 77 but three tickets from city A to B and two tickets from city A to C cost...
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
( NOTE: Operations should be perfor...
In the following number sequence, how many such 8s are there, each of which is exactly divisible by its immediate preceding number but not divisible by...
If 2 is subtracted from the second digits of each of the numbers, how many numbers thus formed will be divisible by three?
Relevant for Exams:
