If x=91/3⋅91/9⋅91/27⋯∞;y=41/3⋅4−1/9⋅41/27⋯∞ and z=� – InterviewSolution

InterviewSolution

1.	If x=91/3⋅91/9⋅91/27⋯∞;y=41/3⋅4−1/9⋅41/27⋯∞ and z=∞∑r=1(1+i)−r and the principal argument of the complex number p=x+yz is −tan−1√ab, then the value of a2+b2 is (a and b are coprime natural numbers)
Answer» If $x = 9^{1 / 3} \cdot 9^{1 / 9} \cdot 9^{1 / 27} \dots \infty; y = 4^{1 / 3} \cdot 4^{- 1 / 9} \cdot 4^{1 / 27} \dots \infty$ and $z = \infty \sum r = 1 (1 + i)^{- r}$ and the principal argument of the complex number $p = x + y z$ is $- {tan}^{- 1} \frac{\sqrt{a}}{b}$ , then the value of $a^{2} + b^{2}$ is ( $a$ and $b$ are coprime natural numbers)

Discussion

No Comment Found

Related InterviewSolutions

Let PQ be a focal chord of y2=4ax. The tangents to parabola at P and Q meet at a point lying on the line y=2x+a (a>0). Length of PQ(in units) is :
The direction cosines of the line drawn from P(–5, 3, 1) to Q(1, 5, –2) is
The number of integral values of a such that the quadratic equation 4ax2+5x+a=0 has two distinct real roots x1 and x2, satisfying the inequality |x1−x2|<1, is
A number of five digits is formed with the digits 0, 1, 2, 3, 4 without repetition. The probability that it is a number divisible by 4 is:
The number of all three element subsets of the set {a1,a2,a3⋯,an} which contain a3 is:
Let a, b, c be the sides of a triangle. The least value of expressionE=ab+c−a+bc+a−b+ca+b−c is ___
The average of msin(m∘) where m=2,4,6,⋯,180 is equal to (correct answer + 1, wrong answer - 0.25)
Semi latus rectum of the parabola y2=4ax, is the _____ mean between segments of any focal chord of the parabola.
15 identical jewels are to be distributed between P,Q,R and S. Find the number of ways in which each one of them gets at least one.
If A={x:x is a letter in the word 'QUARANTINE'}, then the cardinality of A is

Related Topics

Physics

Mathematics

Chemistry

Biology

Recent Visits