An individual equation of the line represented by 2x^2 + xy – y^2 = 0 is a) 2y – x = 0 b) y + 2x = 0 c) y – 2x = 0 d) y + x = 0 e) Both c and d
The given equation is not a line. It is a joint equation of two straight lines. Concept of joint equation: Let y=mx+c and y=ax+b be two straight lines, then the joint equation is simply the product of the two equations.
(y-mx+c)(y-ax+b)=0
=>y^2 +am*x^2 -(a+m)xy -(bm+ac)x+(c+b)y + bc = 0
Compare coefficients with the equation in the question to get values of a,m,b and c.
But the easiest way is obviously to multiply c and d and see that we get the given equation. You can see the graph of the equation here:
@maddy2807@YouMadFellow Ye wala LR bhi try karo arrangement ka. I got stuck because of a few conditions, and I find the solution a bit contradictory.
Some mangoes, apples, bananas, oranges and pomegranates are distributed among four patients Chust, Tandrust, Aarogya and Binbeemar. The following information is known about the number of fruits and the way they were distributed.
(i) The number of fruits of each kind is different and is at least four and at most eight. The total number of fruits received by each patient is different and they are consecutive natural numbers.
(ii) The total number of fruits received by Chust is same as the number of oranges distributed, which in turn is the maximum number of fruits distributed among the five kinds of fruits.
(iii) Each of the four patients received at least one fruit of each kind except bananas, which except Aarogya, everyone else received at least one.
(iv) Less number of mangoes are distributed than bananas, less number of apples are distributed than pomegranates, which are less in number than mangoes.
(v) Binbeemar received more fruits than Tandrust and the maximum possible number of bananas, Aarogya received maximum possible number of fruits. He received maximum possible number of oranges, while each of the other three patients received equal number of oranges. He also received the least possible number of mangoes and Tandrust received the maximum possible number of pomegranates.
I feel there is an issue with saying "Arogya receives the least possible no of mangoes".. Batao tum logon ko kya lagta hai.
Acc. to me, least possible no. of mangoes matlab least no. of mangoes such that the other conditions are not violated.I'm getting it as 2
hey! frostie.. you are doing byju, Right? Is there any kind of material which u can share.. any pdf u people are provided with! Any material.. ! and VA hai to, it would be a titanic savior!
yaar..Byjus has very smartly not given us any soft copy materials...even books (material) are okay types only. Classes badhiya hain. But ek uska pdf hai..jo free hai, kaafi useful hai imo...
@taurean11 Yaar waise hi solution niklega, it has to be 2. Wo mera aaya tha, but yahi hai ki the least possible no of mangoes with anyone in the arrangement is actually 1. If we go by "least possible for Aarogya" instead of "global least possible", then you have to reconsider all the other statements jahaan pe likha hai max possible, min possible. Jahaan pe likha hai ki "Binbeemar recvd max possible no of bananas", using their logic I can allocate any x bananas to Binbeemar saying that "after allocating the rest of the bananas to other ppl, the max possible for Binbeemar is x". Indefinitely check karte rehna padega...
I left the question because I could not understand what they meant.
yaar..Byjus has very smartly not given us any soft copy materials...even books (material) are okay types only. Classes badhiya hain. But ek uska pdf hai..jo free hai, kaafi useful hai imo...
@RoadKill aisa koi link hai...jisme equations of all curves (hyperbola, elipse, joint eqn...baaki 10-12th standard mein jo aata tha) are given? List...to be able to recognize graphs.
Yeh no. of solutions/intersecting line ke ques humesh galat hote hain mere
@mangooman bhai abhi to cat 04-08 ker raha hun .. my VA is not so good to muje to kerna hi padega revise all old papers of cat.. thn qa MEIN now tough question skip ker raha hun easy question se confidense coins collect ker raha hun..
@taurean11 Nahi yaar, I didn't buy SIMCATs. TF khareed liya sala, paisa waste. In any case, TIME ke ye sade sade mocks aur sectionals hi khatm nahi ho rahe.