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#226 2009-03-07 18:30:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,949

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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#227 2009-03-11 07:08:03

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,949

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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#228 2009-03-18 03:33:18

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,949

Re: 5 Star Questions

#232. The sum of the two roots of a quadratic equation is

. The sum of their squares is
. Find the quadratic equation.

#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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#229 2009-04-01 04:46:38

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,949

Re: 5 Star Questions

#235. If n is a positive integer, prove that

.

#236. Show that

.


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#230 2009-04-02 04:16:30

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,949

Re: 5 Star Questions

#237. If in an Arithmetic progression, the su of p terms is equal to q and the sum of q terms is equal to p, 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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#231 2009-07-16 15:23:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,656

Re: 5 Star Questions

Last edited by bobbym (2009-07-16 15:53:37)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#232 2011-12-28 04:32:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,840

Re: 5 Star Questions

hi ganesh

#235

Last edited by anonimnystefy (2011-12-28 04:36:29)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#233 2011-12-28 11:10:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,656

Re: 5 Star Questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#234 2012-03-22 17:50:06

Denominator
Member
Registered: 2009-11-23
Posts: 152

Re: 5 Star Questions

Hey guys,

The ones I answered:

The rest are too hard for me XD

Last edited by Denominator (2012-03-23 07:51:21)

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