Find the condition that the roots of the equation x^3-px^2+qx-r=0 are – InterviewSolution

InterviewSolution

1.	Find the condition that the roots of the equation x^3-px^2+qx-r=0 are in Harmonic Progression (HP).It is known that if any three terms a, b,c have a common difference and are in increasing or decreasing order, they are in Arithmetic Progression (AP) and their reciprocals 1/a,1/b,1/care in HP.
Answer» `27r^2-9pqr-2q^3=0` `27r^2-9pqr+2q^3=0` `27r^2-9pqr+3q^3=0` `27r^2-9pqr+3p^3=0` ANSWER :B

Discussion

No Comment Found

Related InterviewSolutions

Three years ago, the average age of Anita, Priya, and Varsha was 27 years. If five years ago, the average age of Priya and Varsha was 20 years, find the present age of Anita.
In the evergreen movie Sholay, the villain of the movie was
If x=cot75^(@), then find the value of sqrt(x)+(1)/(sqrt(x)).
p @ q = p^2 - 20 if p > q , p < q = p^2 + 20 if p le q, then for a = 5 and b = 4 the value of [(a @ b) @ (a @ b)] - [(b @ a) @ (b @ a)] is :
If a,b,c belong to R,ane0, and the quadratic equation ax^2+bx+c=0 has no real roots. Then , which one of the following is correct?
A,B and C enter into a partnership.A invests some amount at the beginning , B invests doublethe amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annualprofit be X 54000, find the Cs share
P, Q and R are employed to do a job in 15 days for a total remuneratuion of rs. 12,000. P alone can do the work in 40 days and Q alone in 60days. If all of them work together and complete the work on time what is R's share?
A tap can fill a tank in 16 hhours whereas another tap can empty the tank it in 8 hours. If in a three fourth filled tank both the taps are opened, then how long will it take to empty the tank in this scenario?
Are the points (1, 7), (4, 2), (-1, -1) and (-4, 4) vertices of a square ? If yes, what is the length of the side of square ?
Find the next term in the series 15,14,19,11,23,8,"………….".