Popular Fundamentals Questions

Q1. L1 ≡ ax+by+c and L2 ≡ lx+my+n , where a,b,c,l,m,n are real. L1+λL2=0 represent all lines passing through intersection of L1=0 and L2=0 (True/False)? ______________________________________________________ Q2. Lim(x→ ...

I wiill put up some good questions of AM GM inequality only... So that you all can try them.. some of themwill be very very easy.. others will be a bit more tough... So try them all one by one.. I will try to post them in ord ...

THIS IS SERIOUSLY NOT FOR IITJEE practice.....THEY ARE 2222222 EASY............ ONLY FOR CBSE sure shot QUESTIONS... Please other guys dont scold me for these easy questions.. 1. Find the principal value of tan-1(tan7∩/6)+c ...

this thread is mainly intended to give some insight into congruences and how to solve various jee related problems using that concept.. definition of congruent: A number `a` is said to be congruent to `b` modulo `m` if `m` di ...

PLot the graphs of these! 1) 1/2x, 1x, 2x, ex on the same plane (sheet) 2) 2x, 2-x, 22x, 2-x on the same sheet! 3) 2x and 1+x3 on the same sheet! 4) [y]=[x] 5) [y+1/2] = [x] 6) [x] = [2y] 7) [2x] = [3y] 8) [2x ...

Antonym Autonomy 1. submissiveness 2. slavery 3. subordination 4. dependence.. ...

here i will post the doubts of my tests and the questions in which i am struck *Image* *Image* ...

\frac{x^{4}}{(x-1) (x+1)^{2}} = (x-1)+ \frac{2x^{2}-1}{(x-1)(x+1)^{2}} [3] please show the divison process .. when num was divided by denom.. got the 2nd step.. pls show step wise how it occured ...

Which of these is true? Infinity a perfect square? Infinity is a Real Number Infinity is a Even number It is an odd number It is both even and odd It is neither even nor odd It is a Integer It is a rational number It is an ir ...

SHOULD \frac{x^{3}}{(x-1)^{3}(x-2)} BE WRITTEN AS \frac{A}{(x-1)^{3}}+\frac{B}{(x-1)^{2}}+\frac{C}{(x-1)}+\frac{D}{(x-2)} IF NOT WHAT IS THE CORRECT WAY TO SPLIT IT? ...

observe the given sequence of nos. , which has two missing nos. at the end. 20 18 17 16 14 14 11 12 ? ? a) 8,10 b)12,11 c)13,9 d) 9,10 ans nahin pata ...

Odd one out : 1) carrot radish potato sweet potato beet 2) bean grapes carrot banana tomato 3) lake pond pool tank brook ... i'll post more as soon as i get more !! ...

Experts this is very easy so please dont tell d answer.....but lets see x+iy=0.....................1 x=-iy x/y=-i (x/y)2=(-i)2 (x/y)2=-1 x2=-y2 x=iy ==>x-iy=0....................2 arent one and 2 contradicting???? IS THERE ...

Odd one out : 1 ) Ear Lung Eye Heart // ram's logic is correct Kidney 2) 2 October // gandhi's birth 14 November // J lal Nehru's birth 19 November // Indira gandhi's birth 30 January // gandhi's death 28 June / /P V Narsimha ...

Wat is the basic condition for two curves to be orthogonal ?? I know they need to intersect at 90° but wat abt the CASE WER the two CURVES INTERSECT EACH OTHER MORE THAN ONCE ??? eg. x2 = y and y2 = x are these said to be or ...

Q1. A fixed Pt. P(5,2) is given and two points A and B on x=y and y=0, Find: i) coordinates of A for |PA+PB+PC|min ii) coordinates of B for |PA+PB+PC|min iii) value of |PA+PB+PC|min ...

this is a new thread in which all types of maths sums can be posted, rules: 1) only 1 question at a time 2) no one start a new question unless the previous one is fully solved by someone and understood by everyone 3) every qu ...

lets see who can do this. this one`s for all oldies in this site like priyam ,skygirl.eureka,srinath, prophet sir, celestine, anirudh, sankara,unique,mak, NISHANT BHAIYAN, MANISH BHAIYAN, LOKESH BHAIYAN and others. { i miss r ...

PROB 1 *Image* PROB 2 *Image* PROB 3 *Image* PROB 4 *Image* PROB 5 *Image* ...

What is (-1)2/3? ...

This thread is only for math.....so NO english....dont ask doubts in eng...only math symbols are allowed.... Q.1 *Image* ...

Try to put "Why?" before every statement...then search for answers, FUNDAMENTALS will build up. ...

1. The proposition p \Rightarrow \sim (p \wedge \sim q) is a . contradiction b. tautology c. either (a) or (b) d. none of these ...

1. If tan x > cot y , where tan x , cot y \epsilon N such that tan2x + 3 cot y and cot2y + 3 tan x are both perfect squares then A>x= \tan^{-1} (1) B>x= \tan^{-1} (4) C>x= \tan^{-1} (16) D>x= \tan^{-1} (64) 2.I ...

1.evaluate \lim_{x\to2-} [x-3]/[x(square)-4] ...

Find the time period of oscillation of a pendulum of length equal to the radius of the earth 1. 2pie(2r/g)^(1/2) 2. 2pie(r/2g)^(1/2) ...

if p is the perepndicular distnce of an angular point of cube of each side to 47 from diagonal wich does nt pass thru that angular point ,then 3p^2 is equal to ?? ...

A girl was carrying a basket of eggs, and a man driving a horse hit the basket and broke all the eggs. Wishing to pay for the damage, he asked the girl how many eggs there were. The girl said she did not know, but she remembe ...

find the remainder when 3100 is divided by 100 (post ur entire method please ) ...

1. y=xy *Image* that x=1.38 is to let U know that it is one to many... ...