To solve the problem, we need to identify the type of debentures on which a company does not give any undertaking for the repayment of the borrowed money.
1. Understanding Debenture Types:
Debentures are debt instruments issued by a company to borrow money. Typically, companies provide an undertaking to repay the principal amount along with interest at a specified rate and time. However, there is a specific type of debenture where the company does not guarantee repayment of the principal.
2. Identifying the Debenture Type:
Debentures where the company does not give any undertaking for repayment are known as 'Irredeemable Debentures' or 'Perpetual Debentures'. These debentures do not have a maturity date, meaning the company is not obligated to repay the principal amount unless it chooses to do so (e.g., during liquidation). The company only pays interest periodically, and the principal remains outstanding indefinitely.
Final Answer:
Debentures on which a company does not give any undertaking for the repayment of money borrowed are called Perpetual Debentures.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).