Search found 18 matches
- Mon Aug 26, 2013 10:37 pm
- Forum: National Math Camp
- Topic: [OGC1] Online Geometry Camp: Day 2
- Replies: 22
- Views: 19118
Re: [OGC1] Online Geometry Camp: Day 2
Oww yah...didn't think of that, but would've if the question had asked for "values" of AD+DC. But hadn't thought about the fact that AD could have a maximum value.So...thanks.
- Mon Aug 26, 2013 9:07 pm
- Forum: National Math Camp
- Topic: [OGC1] Online Geometry Camp: Day 2
- Replies: 22
- Views: 19118
Re: [OGC1] Online Geometry Camp: Day 2
As AD is the angle bisector $$\frac{BD}{DC}$$= $$\sqrt{\frac{41}{164}}$$= $$\frac{1}{2}$$. So BD=$$\frac{DC}{2}$$. Using cosine rule, $$AC^2=AD^2+DC^2-2AD.DC.cosx$$.....1st equation $$AB^2=AD^2+\frac{DC^2}{4}-AD.DC.cos(180-x)$$ As cos(180-x)=-cosx, so $$AB^2=AD^2+\frac{DC^2}{4}+AD.DC.cosx$$....2nd e...
- Mon Aug 26, 2013 10:51 am
- Forum: National Math Camp
- Topic: [OGC1] Online Geometry Camp: Day 1
- Replies: 19
- Views: 17455
Re: [OGC1] Online Geometry Camp: Day 1
Another Problem (২) AR, AD, BD, BE এবং CE পাঁচটি রেখাংশ। BE, AC ও AD কে যথাক্রমে P ও Q বিন্দুতে ছেদ করে। BD, AC ও EC কে R ও S বিন্দুতে ছেদ করে। EC, AD কে T বিন্দুতে ছেদ করে। যদি AP = AQ , $ \angle PAQ = 42^0, \angle ADB = x, \angle EBD = y $ ও $ \angle BRP=z $ হয় তবে $(y^2+xy+yz+zx)$ এর মান নির্ণয...
- Sun Jan 20, 2013 11:09 am
- Forum: Divisional Math Olympiad
- Topic: Dhaka 2012 Secondary and Higher secondary
- Replies: 5
- Views: 4780
Re: Dhaka 2012 Secondary and Higher secondary
does anyone have a solution??
- Fri Jan 18, 2013 9:00 pm
- Forum: Divisional Math Olympiad
- Topic: Chittagong 2012 Higher secondary
- Replies: 2
- Views: 2850
Re: Chittagong 2012 Higher secondary
Awwww...actually i was not really sure about the fact that "Being different letters is not enough to prevent xy to be same"( i think that's what you meant to say) Thanks for clearing up my confusion.
- Fri Jan 18, 2013 7:35 pm
- Forum: Divisional Math Olympiad
- Topic: Chittagong 2012 Higher secondary
- Replies: 2
- Views: 2850
Chittagong 2012 Higher secondary
Consider a series with $a_1$=2012 and $a_n$= ${\frac{n}{a_{n-1}}}$.$a_1 $x$ a_2$x$ a_3x......$x$ a_{20}$=$2^{x}$x$ y!$.Find the value of x+y.
I got x=y= 10. I am confused. x and y are different letters, can they have same value?
I got x=y= 10. I am confused. x and y are different letters, can they have same value?
- Fri Jan 18, 2013 6:53 pm
- Forum: Divisional Math Olympiad
- Topic: Dhaka 2012 Secondary and Higher secondary
- Replies: 5
- Views: 4780
Dhaka 2012 Secondary and Higher secondary
Find the set of real values of c for which the equation $x^4 = (2x - c)^{2}$ has four
distinct real roots.
distinct real roots.
- Mon Dec 26, 2011 12:44 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National Secondary 2008/10
- Replies: 1
- Views: 2048
BdMO National Secondary 2008/10
A quadrilateral ABCD with \BAD + \ADC > 180 circumscribes a
circle of center I. A line through I meets AB and CD at points X and Y
respectively.
If IX = IY then what is (AX ¢ DY )=(BX ¢ CY )?
what does the sign "¢" mean?
circle of center I. A line through I meets AB and CD at points X and Y
respectively.
If IX = IY then what is (AX ¢ DY )=(BX ¢ CY )?
what does the sign "¢" mean?