Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,281

#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.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,281

#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?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,281

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

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,281

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

#236. Show that

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,281

#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.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,211

*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.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,211

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.**

Offline

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

Hey guys,

The ones I answered:

The rest are too hard for me XD

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

Offline