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good trigonometry questions for iitjee \large 1-\cot 23^{\bullet }=\frac{2}{1-\cot 22^{\bullet }} ...

in a test of subsonic jet flies qver head at an altitude of 100 m the sound intensity on the ground as the jet passes overhead is 160 db .At wha let altitude shud d plane fly so that noise isss than 120 db ans 10 km plz expla ...

find the sum of all natural numbers n such that 1000 ≤ n ≤ 4000, that can be made with the digits 0, 1, 2, 3, 4 if repetition of digits in the same number is allowed. ...

Chalo I'll give one (Priyam) : S = SIN(A) + SIN(A+B) + SIN(A+2B) + SIN(A+3B) + .................. ∞ {try to do it widout using complex nos.} {Believe me its a one step sum} HINT : use Trigo.... he he ...

Let z=1-2i. Find 1/z+2/z^2+3/z^3+... ...

a sufficiently long organ pipe has a small hole at the bottom.initially the pipe is empty .water is poured into the pipe at the constant rate .the fundamental frequency of air column in d pipe (a)cont increase (b)first increa ...

In a Young’s double slit experiment, the separation between the two slits is d and the wavelength of the light is λ. The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose t ...

Let f(x) be a differentiable funtion satisfying (x-y).f(x+y) - (x+y).f(x-y) = 4xy(x2 - y2) for all x,y \in R , and f(1)=1. Then , ........................... ...

\int \frac{arc tan(e^{x})}{e^x}dx ...

Consider a elevator accelerating upward with 2.4m/s2. Inside the elevator there is a ball of mass 1kg tied to the ceiling using a massless string. The elevator travels 30m up and then the string breaks and the ball is let loo ...

define and tell the relations and differerce between(many of them are same) them magnetic field magnetic field intensity magnetic intensity magnetic field strength H-field Intensity of magnetisation magnetic flux magnetic flu ...

wat is value of sin(log ii) iiii this power upto infinity = a + ib find them ....find b/a and a2 +b2 ...

1)Out of 2n+1 cards numbered successively, 3 cards are drawn. What is the probability tat the numbers on the card are in A.P? Ans: 3n/4n2-1 2) Each question in the eq ax2+ bx+c is obtained by tossing a Die. Find the probabili ...

which of the foll. is differentiable At x=0? a)cos([x]) - [x] b)sin([x]) +[x] c)sin([x])- [x] d)cos([x]) + [x] where[.] represents modulus. pls give reason. ...

Prove that x>y is true for all y<x ...

How many 1s are there in the result of 1 + 11 + 111 + ... + 11..111 (which is 2002 ones) ???? ...

An electric lamp which runs 100V dc & comsumes 10A current is connected to ac mains at 150V, 50Hz cycles with a choke coil in series. Calculate the inductance and drop of voltage across the choke. Neglect resistance of choke. ...

*Image* a ray incident at an angle 53° on a prism emerges at an angle of 37° as shown .if the angle of incidence is made 50° then value of angle of emergence a 35 b 42 c 40 d 38 ...

an electric lamp which runs at 100 V dc and consumes 10 A current is connected to the ac mains at 150 V , 50 Hz cycles with a choke coil in series .. Calculate the inductance and drop of voltage across the choke. neglect the ...

Assertion: The rate constant of a chemical reaction increases by a factor of 2 approximately on increasing the temperature by 10K. Reason: The number of collisions increase between the molecules due to increase in temperature ...

A small ball of mass m is released from a height R above the surface ot the earth surface as shown. If the maximum depth of the ball to which it goes into the earth is R/2 through a narrow grove before coming to rest momentar ...

*Image* A heavy string istied atone end to amoveable support and to a light string at the other end as shown. he string goes oer a puley(fixed) & supports a weight to prouce a tenion. The lowest frequency with which the heavy ...

*Image* Many of you might have seen this.. ...

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\frac{r_{1} r_{2} r_{3}}\frac{{}r^{3}}{} the minimum value of this. may be easy but nice problem I thought.bahut easy that to maaf kardena ...

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melting point of a solid will increase its internal kinetic energy..... True/False ...

A series expansion is a representation of a particular function as a sum of powers in one of its variables, or by a sum of powers of another (usually elementary) function . Here are series expansions (some Maclaurin, some Lau ...

a certain mirror placed at the origin has i^ as the normal vector to its reflecting surface. the mirror begins to translate with a velocity i^ +j^ +k^ at t=0, at the same time an object which was initially at i^+j^ starts mov ...