straight lines
How can like 2x+y=a make an isosceles right angled triangle with coordinate axes
104 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.Dividing the equation by a on both sides we can get x/(a/2)+y/a =1
This indicating the line in intercept form , and such line can never form an isosceles triangle
Acc to me answer should be asq/4
Area of triangle oab = asq/4
Area of triangle oma = asq/20
@¹¹⁷sos sorry for the ping but am i tripping
Ek sec
Pura padhne de
It's not talking about that triangle
Okay so we have our first triangle which is made by that line, furthermore now we have another line which is perpendicular to the given like
It intersects our original line in such a way that it will make an isosceles triangle with OM and BM Or AM
OM nikal jayega using the distance of like from origin
Ab now we know that it's an isosceles right angled triangle and we already know then distance of one side so 1/2side²
Uske baad you can use congruency to prove both are isosceles
ok so the solution says triangle oab is isosceles but how can it be isosceles
u mean om=bm=am ??
I mean it's given in question toh aasani se lekar chalne me koi dikkat nhi hai
but its not possible to be iscoscles na
Yes can be proved with congruency later down the line
yeah exactly
how's there a problem with it making a right angled triangle with the coordinate axes?
Why so
substituting 0 for x and y u get oordinate and absicca as a/2 and a
precisely
nvm i have done this question.
assuming coord axes is wrong but the question can still be solved
Guys I believe there will be a certain value of 'a' for which it will be isosceles
look at two examples
i also pointed out in my explanation that when the lines converted to intercept form we clearly see intercepts aint equal
One sec lemme draw
i thought so too, but i dont thing it works like that man
yeah exactly
Yeah you are right
perpendicular is from origin so theres no real option to consider anythig else
Can't be isosceles
yep , ill still confirm the question once with my teacher
2x+y=a
Xc = a/2
Yc=a
a=a/2 when a=0
but then such a situation no more exists
also , needed a bit of advice from u guys
there is still an option
I get it
when doing coord geo i always miss out on cases
How so
how to prevent that
the other day i was doing circles and left out 3 cases in a question
solve while considering the yellow lines
What cases are you talking about like
my diagram is kinda wrong but you get it ig
I need to wrap my head around this
ill give u an example from straight lines
find the equation of straight line upon which the length of perp from origin is 2 and slope of this perpendicular is 5/12.
pretty standard and easy question but there were two possible answer
just have some check marks in your mind and keep checking your method and try to see what you are doing after every step
yeah same
Yeah I mean listen it will take a bit of practice but this isn't something you can't do, draw everything rather than just being technical and formulaic, cordinate geometry me itni case ki dikkat nhi aati it will become way better as you practice don't worry
yeah i do draw figure but i still miss out. ig its just a practice issue so need not worry in early stages
Yess and you will develop those check marks by practicing drawing and reading examples
C'mon 11th me ye dikkat hoti hai now you will always think ki ek point se 2 distance ho sakte hai for the same slope so yeah
huh?
I mean you won't the same mistake twice right
dist toh ek hi hoga na
also agar tu baar baar cheeze miss karha hai toh you might know what u keep forgetting.
Make sure you don't forget that thing or mess it up
aight everyone
thanx a lot
not closing the thread for now . will update tomorrow
Kkk
i also have some problem with the concept of family of lines and line pairs
am just not able to wrap my mind around their concept , especially the latter
I really hated that concept too, I would recommend looking at some examples from arihant or cengage periodically
ohh
ok
do u think giving trigo a rest for now is fine
i have been doing that bro, its the sanest move trust
i have like 20 doubts in my module rn and if i get stuck with that ill mess up circles too
Yeah I think so, abhi 12th me bhi bahut mix hogi
trying to do em simultaneously will kill us 💀
already having straight lines in backlog
Bhejte rhehna
added to that is chemical bonding nlm and wpe
how tf u in wpe man
i have uploaded quite a few in the server
Doubts, maths is like the only thing I remember 😭
dont ask
even maths ur wayy ahead, like pair of lines
dude circles chal rha hai hamara
lmao atleast mechanics ruin mat hone dena
I will look at em all
my self study schedule is fucked i see
13 , 14, wagera the na
we spent like 2 months on basic maths in maths which included a good chunk of calculus and inequaltities
Abhi try karta hu
then speedrun hi chal rha
yepp , really good questions
+1
Well imma give em a try now
Koi aur doubt ho toh puch lena, and yeah syllabus ki dikkate aati hai keep going
okk, thanxx. iit mandi toh sundar jagah mei hai . ull have a blast
thats the only motto. dont stop
agreed (i lost all my self confidence trying them)
Listen please ye sunke jaaana
yeah sure
btw @hardcoreisdead where did u get those trigono qs?
coaching module 💀
fked up i tell u
11th and even in 12th kabhi kabhi we struggle a lot with questions but the thing is you should be more focused on learning rather then solving, even if you see the solution it's fine , be more focused on learning I am still learning now and I have given a lot of time to maths
just imagine the level of archive and gmp theyll give us (fiitjee)
maths do be like that, literally eats away the time
Fiitjee wale kaafi jyada hi hard rakhte hai, mujhe toh ab lag raha hai aakash hi behtar tha
u from fiitjee too?
Aaaaakaaaaash
ohh
its good and bad both , so i dont really complain
Yeah but don't get demotivated even if you can't solve 5 in a row
Easy to say hard to do, but bahut ups downs aati hai
did this with nlm. i legit rage quit and went to sleep
fiitjee ki maths modules ne jo self confidence giraya hai na
That's not the right mentality, us point pe easy subject pe aajao
it was quite late so i did the next 5 6 questions so i just speedsolved them and went to sleep
nah physics was never the problem with me shit like trigo made me cry
Maths Aisa jaroor karti hai but like in aakash bahut acche level ke questions late aate the shuru shuru me baccho ko nhi dete
not gonna end the day with ragequitting
i see
Yess ab padho
yeahh
bohot time ho gya
cya . will update tomorrow
Kkk
The figure is misleading asf
I hope this figure alone solves the problem
Image incoming
L1 and l2 are the lines dropped on 2x+y=a and L1 and l2 and mutually perp
Abey I really misinterpret the question and the diagram doesn't help either
bro wtf is that image they gave 😭
Ikrr
Aight marking it solved
+solved @¹¹⁷sos
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