Question
If x1 and x2 are the roots of the equation 2x2
+ 3x – 9 = 0, then the equation which has the roots 1/x1 and1/x2 is:Solution
We know that, for a quadratic equation ax2 + bx + c, Sum of its roots = -b/a and product of roots = c/a For 2x2 + 3x – 9 = 0, => x1 + x2 = -3/2 and x1x2 = -9/2 For the equation whose roots are 1/x1 and 1/x2, Sum of roots = (1/x1) + (1/x2) = (x1 + x2)/x1x2 = -3/-9 = 1/3 Product of roots = 1/(x1x2) = -2/9 ∴ the quadratic equation = x2 - 1/3x - 2/9 = 9x2 - 3x - 2 = 0
Which of the following is the effective annualised rate charged to the borrower of a digital loan?
Which financial institution in India regulates and supervises the Primary Dealers (PDs) in government securities?
Online game streaming and esports content platform, Rooter, has integrated with the _______ to stream curated, high-quality gaming and esports content.
Scheduled Banks in India refer to those banks which have been included in the ______ Schedule of Reserve Bank of India Act, 1934.
Which bank has become the first Public Sector Bank in India to introduce the facility of UPI payments to merchants through RuPay Credit Card?
According to the Global Multidimensional Poverty Index 2023 report from the United Nations Development Programme and Oxford Poverty and Human Developmen...
Reserve Bank continued to act as the Central Bank for Burma till?
Where are the headquarters of Zomato?
In which of the following year the Union Bank was registered as a limited company?
which of the following was the last country to join the World Bank?
Relevant for Exams:
