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question 1 in how many ways the number 10800 can be resolved as product of 2 factors ...
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evaluate:limit x--->0 ln(1+(sinx)^2) / tan[(ln(1+x))^2] ...
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if A and B are the roots of x2-8x+4M=0 and C and D x2-72X+4N=0 if A<B<C<d and A,B,C,D are in GP then MN= A)729/4 B)27/16 C)729 D)243 ...
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if the prob of horse p winning a race is 1/ 4 and that of horse Q winning the race is 1/ 6 find the prob that none will win ...
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a bag contains 5 black and 3 red balls a ball is taken out of the bag and is not returned then wat is the prob of drawing a red ball in the second draw if the ball in first draw is red please explain me the solution in detail ...
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Just a simple question for all... if x and y are two complex roots of Zn=1 then what is the condition on "n" that Arg(x/y)=pi/2 has a possiblity? (n is an integer!) ...
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A worm is crawling on an elastic band that is 20 inches long. Eachday the worm crawls 1 inch. Each evening, a boy stretches the band 10 inches (moving the worm some too). Does the worm ever reach the end of the band? If so, h ...
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consider seven digit numbers x1 x2 .... x7 ≠0 having the prop that x4 is the greatest digit and the digit to left and right of x4 are in decreasing order then total number of such numbers in which all the digits are distinc ...
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1)FInd area bounded by mod(y)=e-mod(x) with [mod(x)+mod(y)]/2 + [mod(x)-mod(y)]/2 ≤2 2)Find area of region at point P satisfying maximum{PA+PB,PB+PC}<2 where A=(1/2 ,0) ,B=(3/2 , 0) ,C=(5/2 , 0) ...
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a square matrix A is said to be an idempotent matrix if A2=A. now answer the following questions: 8.) if A is a non-singular idempotent matrix, then a) A=IN b) A=0 C) A+A'=0 D) none of these. [cont....] ...
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Suppose we need to solve the equation x^{x^{x^{x^{.^{.^{.^{.}}}}}}}=2 The usual trick is to realize that the exponent of the bottom x is same the entire LHS, and so we get x^2=2\qquad \Rightarrow \ x=\sqrt{2} That is to say t ...
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how to check if 144255 + 192255 is divisible by 49 or not ...
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2 different non parallel lines meet the circle |z|=r in the points a,b and c,d respectively,Then the point of intersection of the lines z=(a-1+b-1-c-1-d-1)/(a-1b-1-c-1d-1) Is the above statement true or false??? Edit:non para ...
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i was integrating (tan-1x)2............and i am stuck here..... HOW do we integrate t.tant??? ie ∫t.tantdt..........plzzzzz help ...
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find d value of p such there exists only 1 soln.... |logmx|=px ...
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if f(x) =x+√2αsinx,x<pi/4 f(x)= 2xcotx - β x≥pi/4 is a continuous function,then (1+tanα)(1+tanβ) =? a)1 b)-1 c)2 d) -2 pls explain in detail........ ...
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Find the limit to: *Image* A.)1 B.)-1 C.)0 D.)Do not exist ...
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*Image* *Image* ...
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*Image* *Image* ...
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If i take y=xxx.......and use log....... CASE 1.. logy=xxlogx... CASE 2....logy=xlogxx =logy=x2logx...........WHICH IS CORRECT?? ...
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On a dice we have the following numbers written: 0,1,2,3,4,5. We throw this dice until the sum of the points that appeared is bigger than 12. Which sum has the highest probability that we can obtain from all the other's? ...
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A non zero polynomial with real coefficients have the following property: f(x)=f'(x)f"(x). Then find the leading coefficients of f(x). ...
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Find the limit *Image* the options are: A.)1 B.)0 C.)Î /2 D.)does not exist ...
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f(x) = \left[tan^{100}x \right] find \int_{0}^{tan^{-1}(\sqrt[100]{4})}{f(x)dx} ...
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Simplify \prod_{n=1}^{\infty }{cos(\frac{x}{2^n})} it comes out to be \frac{sinx}{x} but how? ...
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In triangle ABC, D is a point on AB and E is a point on AC such that BE and CD are bisectors of ∠B and ∠C respectively. Let Q,M and N be the feet of perpendiculars from the midpoint P of DE onto BC, AB and AC, respectivel ...
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Find the condition so that the line px + qy = r intersects the ellipse x2/a2 + y2/b2 =1 in points whose eccentric anles differ by π / 4 ...
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Find the limit to: *Image* the options are: A.)(a-b)/3 B.)0 C.)(a2-b2)/6a2b2 D.)(a2-b2)/3a2b2 ...
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∫mod(sinx+cosx) ...
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Rekha married Shivram and had 4 sons. Varsha married Ajoy and had 4 sons. Both the couples had divorce and after that Shivram married Varsha while Ajoy married Rekha. They too had 3 sons each from their wedlocks. How many sel ...