Notice these expressions in the text. Infer their meanings from the context.
Solution and Explanation
Incongruity: Quality of being unsuitable/absurdity
Prodigy: A young person endowed with exceptional qualities
Chuffed: Very pleased
Solitary elm: A secluded tall tree
Arcade: A passage or a walkway with shops and stalls on either side
Amber glow: Yellowish- brown light of the lamp
Wharf: A place beside the water bodies for loading or unloading of the ships
Pangs of doubt: A sudden realization of uncertainty about something
Top Questions on Going Places
- Why did Sophie dream of having a boutique after leaving school? (Going Places)
- CBSE CLASS XII - 2025
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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 \(P,O,Q\).
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