I ______ an answer to my letter within a few days.
hope
wait
look forward
expect
The correct answer is (D): expect.
In the given sentence, the speaker is expressing a strong belief that they will receive an answer to their letter within a few days. The word "expect" conveys this sense of certainty and confidence in the response they will receive.
Therefore, "expect" is the correct answer as it best fits the context of the sentence.
Match the words in column ‘A’ with their meanings in column ‘B’.
Find out the words from the passage which mean Exhilaration.
Find out the words from the passage which mean Reminiscence.
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 \(P,O,Q\).