<![CDATA[Math Is Fun Forum / 5 Star Questions]]> 2012-03-23T05:50:06Z FluxBB https://www.mathisfunforum.com/viewtopic.php?id=6317 <![CDATA[Re: 5 Star Questions]]> Hey guys,

The rest are too hard for me XD

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https://www.mathisfunforum.com/profile.php?id=50941 2012-03-23T05:50:06Z https://www.mathisfunforum.com/viewtopic.php?pid=205378#p205378
<![CDATA[Re: 5 Star Questions]]> Hi ganesh;

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https://www.mathisfunforum.com/profile.php?id=33790 2011-12-28T23:10:54Z https://www.mathisfunforum.com/viewtopic.php?pid=197533#p197533
<![CDATA[Re: 5 Star Questions]]> hi ganesh

#235

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https://www.mathisfunforum.com/profile.php?id=118786 2011-12-28T16:32:47Z https://www.mathisfunforum.com/viewtopic.php?pid=197482#p197482
<![CDATA[Re: 5 Star Questions]]>

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https://www.mathisfunforum.com/profile.php?id=33790 2009-07-17T03:23:29Z https://www.mathisfunforum.com/viewtopic.php?pid=115640#p115640
<![CDATA[Re: 5 Star Questions]]> #237. If in an Arithmetic progression, the sum of p terms is equal to q and the sum of q terms is equal to p, prove that the sum of (p+q) terms is equal to
-(p+q).

#238. given

,
find
.

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https://www.mathisfunforum.com/profile.php?id=682 2009-04-02T16:16:30Z https://www.mathisfunforum.com/viewtopic.php?pid=109265#p109265
<![CDATA[Re: 5 Star Questions]]> #235. If n is a positive integer, prove that
.

#236. Show that

.

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https://www.mathisfunforum.com/profile.php?id=682 2009-04-01T16:46:38Z https://www.mathisfunforum.com/viewtopic.php?pid=109202#p109202
<![CDATA[Re: 5 Star Questions]]> #232. The sum of the two roots of a quadratic equation is
. The sum of their squares is

#233. A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4, and 5 without repetition. What is the total number of different ways in which this can be done?

#234. What is the coefficient of x[sup]n[/sup] in

?

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-18T15:33:18Z https://www.mathisfunforum.com/viewtopic.php?pid=107863#p107863
<![CDATA[Re: 5 Star Questions]]> #227. Let PS be the median of the trianglewith vertices P(2,2), Q(6,-1), and R(7,3). What is the equation of the line passing through (1,-1) and parallel to PS?

#228. If a circle is concentric with the circle x[sup]2[/sup]+y[sup]2[/sup]-4x-6y+9 = 0 and passes through the point (-4,-5), what is its equation?

#229. If e[sub]1[/sub] is the eccentricity of the ellipse

and if e[sub]2[/sub] is the eccentricity of he hyperbola
, then what is the value of
?

#230. What is the vertex of the parabola y[sup]2[/sup] = 5x+4y+1?

#231. If the angle between the lines joining the lines joining the foci of an ellipse to an extremity of the minor axis is 90°, what is the eccentricity of the ellipse?

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-11T19:08:03Z https://www.mathisfunforum.com/viewtopic.php?pid=107177#p107177
<![CDATA[Re: 5 Star Questions]]> #223. Solve the quadratic equation

#224. Find the values of A, B, C, and D if

.

#225. Simplify:

.

#226. If 2b = (a+c), show that the equation

has equal roots.

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-08T06:30:28Z https://www.mathisfunforum.com/viewtopic.php?pid=106946#p106946
<![CDATA[Re: 5 Star Questions]]> #222. What is the square root of
?

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-07T15:31:22Z https://www.mathisfunforum.com/viewtopic.php?pid=106891#p106891
<![CDATA[Re: 5 Star Questions]]> #217. What is the value of
?

#218. What is the value of

?

#219. If a, b, c, and d are real and

, then what is the value of
?

#220. If one of the roots of the equation

is square of the other, then what is
equal to?

#221. Let

denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. What is the value of n is
?

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-06T14:24:37Z https://www.mathisfunforum.com/viewtopic.php?pid=106810#p106810
<![CDATA[Re: 5 Star Questions]]> #215. Find the common area enclosed by the two parabolas 4y² = 9x and 3x² = 16y.

#216. Find the area of the largest rectangle that can be inscribed in a semi-circle of radius r.

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-06T05:56:33Z https://www.mathisfunforum.com/viewtopic.php?pid=106779#p106779
<![CDATA[Re: 5 Star Questions]]> #213. The p[sup]th[/sup] term of an Arithmetic progression is
. Find the sum to n terms of the Arithmetic Progression.

#214. Solve for n if nC[sub]4[/sub], nC[sub]5[/sub], nC[sub]6[/sub] are in Arithmetic Progression.

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-05T15:13:42Z https://www.mathisfunforum.com/viewtopic.php?pid=106704#p106704
<![CDATA[Re: 5 Star Questions]]> #211. Find the sum of the following series to n terms:-

#212. If a[sub]1[/sub], a[sub]2[/sub], a[sub]3[/sub], .... are in Arithmetic Progression and a[sub]1[/sub], a[sub]2[/sub], a[sub]3[/sub], .... are all positive, find the value of

?

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https://www.mathisfunforum.com/profile.php?id=682 2009-03-05T14:07:52Z https://www.mathisfunforum.com/viewtopic.php?pid=106697#p106697
<![CDATA[Re: 5 Star Questions]]> Answer to #209:-
Correct, JaneFairfax! ]]>
https://www.mathisfunforum.com/profile.php?id=682 2009-03-05T13:42:17Z https://www.mathisfunforum.com/viewtopic.php?pid=106696#p106696