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Why it is said that no of roots of x3=0 is 3 repeated roots... Then why sin(x)=1 has only one root in (0,pi) ...
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*Image* A projectile is fired with a speed 10 m/s , at an angle 30° with the horizontal.Find the time after which the velocity is perpendicular to the initial velocity of Projection.Take g as 10 m/s^2. 1.2s 2.2.5 s 3.1s 4.No ...
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HELLO ALL. ANYONE PREPARING FOR IIT-JEE WOULD SURELY GET HIS TOPICS DONE, BUT DURING THEIR PREPARATION, MORE THAN MANY,NEGLECT A SUBJECT CALLED INORGANIC CHEMISTRY. THIS ALSO CREATES A DIFFERENCE IN RANKS.TO,AVOID THAT FOR TI ...
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This will be torn apart, still it should help us recall some useful facts: Prove that: \sum_{cyc} \frac{(a+b)(a+c)}{(a-b)(a-c)} = 1 ...
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In how many ways can you color a cube with a) one color b) two colors c) three colors d) 4 colors e) 5 colors f) 6 colors Each of them is easy ... just needs a bit of thinking :) ...
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This is a brilliant brilliant proof i read today... *Image* This is from a book called problem solving strategies... (it is a brilliant read!) ...
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*Image* It is an old question to a) find the number of triangles.. b) Also find the no of parallelograms c) Alos the number of Rhombus.. ...
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Part 1 *Image* here the radius side of the successive square is half of the original one... (The whole thing goes to infinity) Side of the Largest square is 1. Part 2 *Image* Find the CM of this system... Here you successivel ...
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A particle of mass m moves on the axis as follows...it starts from rest at t=0from the point x=0 and comes to rest at t=1at x=1.no other info is available abt its motion....a is its acceleration.then: a)a cannot remain positi ...
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Without calculating, which is greater? \frac{361254001}{722508003} or \frac{361254002}{722508005} If I remember correctly, this is one of the first things i learnt from Hall & Knight Edit: Hint: if A/B< C/D, what can you s ...
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EX 2 1 ) Find the no. of ways in which 3 distinct no.s can be selected from the set { 3 , 32,......,3101} so that they form a GP. 2 ) Find the no. of ways in which 12 identical coins can be distributed in 6 diff purses , if n ...
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Show that the curve (x/a)2n + (y/b)2n=2 touches the straight line x/a+y/b=2 at (a,b) no matter what the value of n be. ...
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Solve: xy+x+y=23 xz+z+x=41 yz+y+z=27 ...
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What is the number of ways to tile a 9x3 floor using 3x1 tiles ? (This requires recursion) I am explaining the question a bit more elaborately with some examples.. because you may not have understood tiling... :) The example ...
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ABC is an equilateral triangle. P is any point in it satisfying PA=3, PB=4 & PC=5 units. Find area of the triangle. ...
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First look this might seem an olympiad problem that may scare some of you... but try this problem to get an insight on how to solve such problems... x+y+z = w 1/x + 1/y + 1/z = 1/w Solve for x, y and z... (Not that you have t ...
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First look when i saw this question, I got bowled.. Then the feeling of solving this one was good.. [1] .. I thought THis is a nice question that you guys should try F(x) is a polynomial of degree n such that f(k)=1/k for k=1 ...
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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 ...
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Fermat's Little theorem states taht .... If p is prime, then P divides ap-a A good question for congruences.... To understand and implement it.... I am giving the guidelines on how to approach and solve.. see if it fits your ...
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We have seen so many polynomial questions.. But I am still giving this one because I cant resist from feeling how many of you have really understood some of what we discussed in thsoe questions.. P(x) is a polynomial of degre ...
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Is it possible to have a spherical drop of water that could evaporate without absorbing heat or losing internal thermal energy? Given data: Surface tension of water: 0.073 N/m Density of water: 1000 kg/m3 Latent heat of evapo ...
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*Image* given statement: y-component of velocity of M is u1 cosθ1 + u2cosθ2 ans is given as false why?? ...
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Q. Correct order of bond length is (a) CO>CO+ (b) NO+ > NO (c) N2>N2+ (d) O2+>O2 ans: (a) ...
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Differentiate and give examples of the following: 1. Isotopes 2. Isobars 3. Nuclear Isomers 4. Isosters 5. Isotones 6. Isoelectronics 7. Isodiaphers Note: Knowing this is important as many match the following, objective quest ...
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Paragraph Question (1+px+x2)n = 1+a1x + a2x2 +.....+a2nx2n The remainder when a1 + 5a2+ 9a3 + 13a4 + ......+(8n - 3)a2n is divided by p + 2 is 1. 1 2. 2 3. 3 4. 0 ...
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At 200*C PCl5 dissociates as follows: PCl5(g) + PCl3(g) +Cl2(g) It was found that the equilibrium vapours are 62 times as heavy as hydrogen.Find the degree of dissociation of PCl5 at 200*C.. ?? ...
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if the sum f an A.P is same for p and q terms, show that the sum of p+q terms is 0........ *Image* S(p+q) >0 from graph ...how can it be 0 ????? and if S(p+q)=0 wat is the other root ...
