Assertion (A): Streptococcus pneumoniae and \(\textit{Haemophilus influenzae}\) are responsible for causing infectious disease in human beings.
Reason (R): A healthy person acquires the infection by inhaling the aerosols released by an infected person.
Step 1: Analyzing the assertion:
- \(\textit{Streptococcus pneumoniae} \)and \(\textit{Haemophilus influenzae}\) are well-known pathogens that can cause respiratory infections, such as pneumonia, in humans.
- These bacteria are indeed responsible for a variety of infectious diseases in humans, including pneumonia and other respiratory tract infections.
Step 2: Analyzing the reason:
- It is a well-established fact that these bacteria are transmitted through airborne droplets (aerosols) released when an infected person coughs, sneezes, or talks.
- This method of transmission is a common means by which healthy individuals acquire these infections.
Step 3: Conclusion:
Both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A). Therefore, the correct answer is option (A).
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 \(P,O,Q\).