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## #226 2009-03-08 17:30:28

ganesh
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### Re: 5 Star Questions

#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.

Character is who you are when no one is looking.

## #227 2009-03-12 06:08:03

ganesh
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### 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 x2+y2-4x-6y+9 = 0 and passes through the point (-4,-5), what is its equation?

#229. If e1 is the eccentricity of the ellipse

and if e2 is the eccentricity of he hyperbola
, then what is the value of
?

#230. What is the vertex of the parabola y2 = 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?

Character is who you are when no one is looking.

## #228 2009-03-19 02:33:18

ganesh
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### 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 xn in
?

Character is who you are when no one is looking.

## #229 2009-04-02 03:46:38

ganesh
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### Re: 5 Star Questions

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

.

#236. Show that
.

Character is who you are when no one is looking.

## #230 2009-04-03 03:16:30

ganesh
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### 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
.

Character is who you are when no one is looking.

## #231 2009-07-17 13:23:29

bobbym

Online

### Re: 5 Star Questions

Last edited by bobbym (2009-07-17 13:53:37)

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #232 2011-12-29 03:32:47

anonimnystefy
Real Member

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### Re: 5 Star Questions

hi ganesh

#235

Last edited by anonimnystefy (2011-12-29 03:36:29)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #233 2011-12-29 10:10:54

bobbym

Online

### Re: 5 Star Questions

Hi ganesh;

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #234 2012-03-23 16:50:06

Denominator
Full Member

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### Re: 5 Star Questions

Hey guys,

The rest are too hard for me XD

Last edited by Denominator (2012-03-24 06:51:21)