Maths Level 2 Questions. Please solve them!

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1

<p>Hey please solve the following questions and give alongside the method :)</p>

<ol>
<li><p>The radius of the base of a right circular cone is 6 and the radius of a parallel cross section is 4. If the distance between the base and the cross section is 8, what is the height of the cone? (Ans : 24)</p></li>
<li><p>If n distinct planes intersect in a line and another line 'p' intersects one of these planes in a single point, what is the least number these n planes that p could intersect?
(Ans : n-1)</p></li>
<li><p>In a certain experiement, there is a 0.2 probability that any thermomeneter used is in error by more than 1 degree celcius. If 4 thermometers are used, what is the probability that all of them are in error by more than 1 degree celsius? (Ans :0.0016)</p></li>
<li><p>Which of the following lines are asymptotes of the graph of y= (1+x)/x</p></li>
</ol>

<p>I) x= 0
II) y= 0
III) y = 1</p>

<p>^How will we do this question without a graphic calculator?</p>

2

<ol>
<li><p>Just build a proportion, if h is the height of the cone and h-8 is the height from the vertex to the smaller cross-section, then h/6 = (h-8)/4 → h = 24.</p></li>
<li><p>It turns out that line p intersects every plane, except for at most one plane that is parallel to p. Ans = n-1</p></li>
<li><p>P(all 4) = (0.2)^4 = 0.0016</p></li>
<li><p>If x → 0, y approaches either +/- ∞ so I is correct.</p></li>
</ol>

<p>If x → +/- ∞, y approaches 1, so III is correct.</p>

<p>y = 0 is not an asymptote (the function intersects only at x = -1). The correct answer is I and III.</p>