In this blog post, we provide objective one mark questions from maths subject in AA4 series, questions from 25-32 are provided in this part. You should also refer to the related post section at the bottom of this post for more sample questions on HSC Maths taken from this series. Questions are taken from all chapters and this is a random mix of questions from our pool of question bank which contains over a 1000 questions.
Questions from 25-32 of 40 - AA4 Series
25) An asymptote to the curve $ y^{2}(a+2x)=x^{2}(3a-x) $ is:
a) x=3a b) x=-a/2 c) x=a/2 d) x=0
26) The value of $ \int_{0}^{\frac{\pi}{2}}(\frac{sin\: x-cos \: x}{1+sin \: x \: \: cos \: x})dx $ is:
a) $ \frac{\pi}{2} $ b) 0
c) $ \frac{\pi}{4} $ d) $ \pi $
27) The value of $ \int_{0}^{\pi}sin^2x \: cos^3xdx $ is:
a) $ \pi $ b) $ \frac{\pi}{2} $ c) $ \frac{\pi}{4} $ d) 0
28) Volume of solid obtained by revolving the area of the ellipse $ \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 $
about major and minor axes are in the ratio:
a) $ b^{2}:a^{2} $ b) $ a^{2}:b^{2} $ c) a:b d) b:a
29) The length of the arc of the curve $ x^{2 \:\:\:\:\: 3}+y^{2 \:\:\:\:\: 3}=4 $ is:
a) 48 b) 24 c) 12 d) 96
30) The integrating factor of $ dx+x \: dy=e^{-y} \: sec^{2} \: y \: dy $ is:
a) $ e^{x} $ b) $ e^{-x} $ c) $ e^{y} $ d) $ e^{-y} $
31) A particular integral of $ (D^{2}-4D+4)y=e^{2x} $ is:
a) $ \frac{x^2}{2}e^{2x} $ b) $ \frac{x^2}{2}e^{-2x} $
c) $ xe^{2x} $ d) $ xe^{-2x} $
32) The degree of the differential equation $ \sqrt(1+(\frac{\mathrm{d} y}{\mathrm{d} x}) \: ^{\frac{1}{3}})=\frac{\mathrm{d^2y} }{\mathrm{d} x^2} $
a) 1 b) 2 c) 3 d) 6
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