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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,373

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.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,373

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?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,373

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

?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,373

Re: 5 Star Questions

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

.

#236. Show that

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,373

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
.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#231 2009-07-16 15:23:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

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
The knowledge of some things as a function of age is a delta function.

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 5 Star Questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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

Denominator
Member
Registered: 2009-11-23
Posts: 155

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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