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Catalogs Discussion Forums -> Algebra -> positive integer a nd b -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
      a1/3 + b1/3 - 1 = 49 + 20 (6)1/3
=> a1/3 + b1/3  = 50 + 20 (6)1/3
comparing, a = 503
                b = 6*203

 

Catalogs Discussion Forums -> Algebra -> f(x)=ax^2+bxt+c=0, f(5)+3f(2)=0,3 is the rootof this equation find the other root. -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
f(x)=ax2+bxt+c
      f(5)+3f(2)=0
=>[25a+ 5bt +c]  + 3[4a+2bt+c] = 0
=>37a + 11bt + 4c= 0       ....................(a)

     f(3)=0
=>9a+3bt +c=0          Multilpying both sides by '4'
=>36a + 12bt + 4c = 0      .....................(b)
(b)-(a)
     a - bt =0
=>bt =a
=>c=-12a

thrfore, f(x)= ax2+ax-12a
thus f(x) = 0
=> a (x2+x-12) = 0
=> x = 3, -4


Catalogs Discussion Forums -> Algebra -> rmo 1994 -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
the sum of all the pages, including the page torn S = n(n+1)/2
thus, n (n+1)/2  >= 15000
the minimum integral value of 'n', for which the above equation is true is n =173, for which S= 15051
since, the pages torn, wil have consecutive numbering,
      p+(p+1)= 15051-15000
=> 2p+1= 51
=> p = 25
pages torn = 25,26


Catalogs Discussion Forums -> Trignometry -> 3cosx+2cos3x=cosy & 2sin+2sin3x=siny find cos2x -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
2sinx + 2sin3x=siny............r u sure , its 2 sin x and not 3 sinx???
 
if its 2 sin x, the question is getting un-necessarily lengthy, n then also, the answer is not guranteed.
for 3 sin x, the solution given by jagdish, is perfect :)
 
Catalogs Discussion Forums -> Differential Calculus -> what is differential eq'n of ractangular hyperbole,it's degree & order ? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
a rectangular hyperbola is given by xy=c2
differentiating the equation, we have the differential equation: y + y'x =0
degree=1, order =1


Catalogs Discussion Forums -> Algebra -> Nice sum -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
Let the respective speeds be a, b and c.
then when a, nd c meets, 88 (a+c) = 2X11Xpi  => a+c = pi/4           .................(1)
when b and c meets, 110(b+c)= 2X11Xpi => b+c=pi/5                     .................(2)
now, since a and b are moving in same direction, when they meet after time 't'
       t (a-c) = 2X11Xpi                    .................subtracting (2) from (1)
=>  t [(pi/4) - (pi/4) ] = 2X11Xpi
=> t = 440 sec


Catalogs Discussion Forums -> Computer Science -> What is friend function -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
A friend function is a function that is not a member of a class but has access to the class's private and protected members. Friend functions are not considered class members; they are normal external functions that are given special access privileges. Friends are not in the class's scope, and they are not called using the member-selection operators (. and –>) unless they are members of another class
Catalogs Discussion Forums -> Trignometry -> trigonometric question -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

hemang has solved the question already...thanx :)

Catalogs Discussion Forums -> Integral Calculus -> (x-1)(x+1)^1/2 -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

whats the question dear :?

Catalogs Discussion Forums -> Trignometry -> cot16cot44+cot44cot76-cot76cot16= -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
the question has been already solved by prahlad !!
thank u :)
Catalogs Discussion Forums -> Physical Chemistry -> catalyst in equilibrium . -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
The catalyst increases rate reaction by providing a different reaction mechanism to occur with a lower activation energy.
It does not affect the position of the equilibria, as the catalyst speeds up the backward and forward reactions equally.

 

Catalogs Discussion Forums -> Differential Calculus -> maths,chemistry,physics -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

what do u mean by the 'absolute meaning'  of any theorem?

Catalogs Discussion Forums -> Differential Calculus -> domain -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

the question is already solved :)

Catalogs Discussion Forums -> Vectors -> pls explain the linear combination of vectors -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
If one vector is equal to the sum of scalar multiples of other vectors, it is said to be a linear combination of the other vectors.
For example, suppose a = 2b + 3c, as shown below.

11

16
   =   

1

2
   +   

3

4
   =   

2*1 + 3*3

2*2 + 3*4
   a


  b


  c


Note that 2b is a scalar multiple and 3c is a scalar multiple. Thus, a is a linear combination of b and c.
 


Catalogs Discussion Forums -> Algebra -> series -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
what is the next term??
a4 +a3b+a2b2+ ab3+b4
or,
a4 +a3b+2a2b2+ ab3+b4
 
Pls specify!!
Catalogs Discussion Forums -> Differential Calculus -> Domain of given function -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
domain of sin-1(x-x2)
-1 =< x-x2< = 1
       x2 - x - 1 =< 0
=>  ( x-1/2 )2 - (5/4) =< 0
=> [ x - {(1-sqrt5)/2} ]  [ x - {(1+sqrt5)/2} ] =< 0
=> [ x - (- 0.6 ) ] [ x - 1.6 ] =< 0  
=> x [ -0.6, 1.6]              .....................(A)

domain of (1-(1/ IXI))1/2
firstly, IxI should not be 0 =>  x (not =) 0         .................(i)
        1-(1/ IxI)  > = 0
=>   1 > = (1/ IxI)
=> |x| > = 1
=> x =< -1 or x >= 1     ..........................(ii)
combining (i) and (ii), domain :  x (-infinity,  -1]  [1, infinity)   .............................(B)

domain of 1/[x2-1]
[x2-1] (not =) 0
=>  (x2-1)<0   or, (x2-1) >=1
(x2-1) < 0
=> x (-1,1)                          .............................................(iii)
(x2-1) > = 1
=> x  (-infinity , -sqrt2 ] [sqrt2, infinity )  ..........................(iv)
combining (iii) and (iv), (-infinity , -sqrt2 ] (-1,1) [sqrt2, infinity )  .....................(C)
 
as all the three conditions given by  (A), (B) and (C), should be fullfilled, the domain of the entire expression can be found out by taking the intersection of the three :)
Catalogs Discussion Forums -> Analytical Geometry -> pair of straight lines -> Go to message
This Post 5 points    (Olaaa!! Perrrfect answer.   in 1 votes )   [?]

       cos # = 2.4 / 3
                  = 4/5
 =>  # = 37 degrees
now tan (180-$) = slope of the line = -3/4
=> $ = 37 degrees
therefore, the slope of the required line = tan @ = tan (90- $ - # )
                                                                       = tan (90- 74)
                                                                       = cot 74
now u have the slope, and the point.. u can write the equation of the line :)
Catalogs Discussion Forums -> Physical Chemistry -> what is a isolobal pairs? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
two species are isolobal, if the number, symmetry properties, approximate energy and shape of the frontier orbitals and the number of electrons in them are similar – not identical
Catalogs Discussion Forums -> Computer Science -> what do you meant by the term "SQL"? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]
STRUCTURED QUERY LANGUAGE... It is a standard language for accessing and manipulating databases
Catalogs Discussion Forums -> Analytical Geometry -> Q. Area of the triangle formed by pair of tangents and the corresponding chord of contact? -> Go to message
This Post 0 points    (Olaaa!! Perrrfect answer.   in 0 votes )   [?]

in the bigger triangle sin @ = R / (L2+ R2)1/2               ....................(A)

                                      cos @ = L / (L2+ R2)1/2               ....................(B)

Now the area of the required triangle (the shaded area) = b X h

in smaller triangle, with angle @ .... h = L cos @   and b = L sin @

therefore, the area = L2 sin @ cos @                             substituting values from (A) and (B)

                                  = RL3 / (L2+ R2)

 
 
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