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a straight line through a (-5,-4) meets the lines x+3y+2=0,2x+y+4=0 and x-y-5=0 at b,c,d respectively.......... if (15/ab)^2+(10/ac)^2=(6/ad)^2 then the equationof the straight line?? ...
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the number of ordered pairs (a,b) where a,b belongs to (-Ï€,Ï€) satisfying cos (a-b) =1 and cos (a+b) =1/e will be ??????????? ...
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find the number of ways in which the digits of the number 125453752 can be rearranged such that no two 5's come together ????? ...
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The sequence {yn}n≥1 is defined by y1=y2=1 , yn+2=(4k-5)yn+1-yn+4-2k Determine all integers `k` such that each term of this sequence is a perfect square ...
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An integer sequence {an}n≥1 is defined by a0=0, a1=1, an+2=2an+1+an Show that 2k divides an if and only if 2k divides n. ...
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A lady desires to give dinner party for 8 guests. In how many ways can the lady select guests for the dinner from her 12 friends, if tow of the guests will not attend the party together??? ...
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the question is x2-√x/(√x)-x limit x tending to 1 plz solve this both by dirct derivative and 1st priciple 2)√tanx solve this by 1st principle ...
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k is an integer, p is a prime no. such that x2+kx+p=0 has distinct +ve integral roots. Find the value of (k+p). ...
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thanks a lot everybody ...
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pl. try Q44 *Image* ...
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sum (b) *Image* ...
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the vol. of right triangular prism ABCA2B2C2 is 3. the position vector of the vertices of the base ABC is A=(1,0,1);B=(2,0,0)& C=(0,1,0) Q-1)the height of the prism= a)√3 b)√6 c)√8 d)none Q-2) the coordinate of vertex A ...
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plz tell me if u do get da final ans. i know the type but somehow am missin out on one or da other case!!!!!!!!!!!!! Find the total no of 9 lettered words dat can b formed using da letters of " HINDUSTAN" such that neither of ...
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if nine squares are chosen at random on a chess board,what is the probability that they from a square of size 3*3 ...
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In a game , a man wins a rupee for a six and loses a rupee for any other number when a fair die is rolled. The man decided to throw a die thrice but to quit as and when he gets a six . Find the expected value he wins or loses ...
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SHORTCUT NEEDED!!!! LET S(t) be the area inclimed betwn parabola y = x2 + 2x - 3 and da line y = tx +1, then wat are the values of t for least value of S(t)??? ans : t = 2, 32/3 ...
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WHAT ARE NON INTEGRABLE FUNCTIONS? GIVE EXAMPLES. ...
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x1, x2, x3, ... is defined recursively by x0 = 1, xn+1 = (3xn + 5xn2- 4 )1/2 Show that all these are integers! ...
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If limx→0 [(1+λ) + 8e1/x] / [1+ (1-k)e1/x ]= 2, then λ+k =? ...
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An urn contains 5red and 3white marbles.A marble is selected at random from the urn, and discarded two. 1)Probability of second marble being red is _____ 2)Probability of both marbles being of the same color_______ 3)Probabil ...
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LIMITs *Image* ...
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MULTIPLE OPTIONS CORRECT The equation x2 + 2xy + x - 3 - y + y2 = 0 represents a conic with (A) eccentricity 1 (B) vertex (1.5,-1.5) (C) axis as x + y = 0 (D) length of latus rectum 1 ...
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THIS ONE IS FRM DA FORUM ITSELF : If f(x) f'(x) f"(x)>0 for all x in R, prove that f(x) is a strictly increasing function CAN NE1 PLZZZ XPLAIN ME THIS EXPLANATION OF CELESTINE f'x never 0 , so either strict inc or strict d ...
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prove that summation k=1 to k=n-1 (n-k)cos(2kpi)/n = -n/2 for all n≥3 , n belongs to integer. ...
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Q21) lim { [x]+[2x]+[3x]...............[Nx] } / N2 N→∞ a) 1/2 b) does not exist c) 1 d) None of these Can sum1 first of all plz tell me if [] in da que denotes gr8est int functn or not??? Then i shall re-try, coz i earlie ...
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i need the detailed solution for the derivative of: tan x ...
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1)can u please give me a easier proof for the area of parallelogram whose adjacent sides are represented by a→and →b 2)can u please derive me the volume of the tetrahedron using vectors??? ...
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the pole of st. line 9x+y-28=0 wrt the circle; 2x2+2y2-3x+5y-7=0 is a)(3,1) b)(1,3) c)(3,-1) d)(-3,1) plz give idea abt. this & how 2 solve various prob. on this ...
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calculate the cosine of A in the Δ ABC where A(1,-1,2) B(6,11,2) C(1,2,6) ...