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how many different dice can be produced with 1-6 written on the six blank faces .. such that no 2 dice are similar .. no number is repeated in a die ! ...
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Find all positive integers, representable uniquely as \frac{x^{2}+y}{xy+1} where x and y are positive integers. ...
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Suppose that p is a prime number and is greater than 3 . Prove that 7^{p}-6^{p}-1 is divisible by 43. ...
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The integers a and b have the property that for every nonnegative integer n, the number 2^{n}a+b is the square of an integer. Show that a=0. ...
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ONE MORE QUESTION APPENDED!!!! *Image* ...
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A rod is divided in 3 parts randomly. The probability that they can form a triangle. It was a subjective(write the answer) and my tukka was correct without the options :P but anyone please with the method. ...
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The number of matrices which we can from using 10 distinct real numbers is ______ ...
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can u help me out on this one without using de-moivre's theorem.... show that one value of (4+3i)^(-1/2) - (4-3i)^(-1/2) is 3√2/5.....('^':stands for:"to the power") ...
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plz solve: 1.The range of α ε(-π,π) for which there exists no complex no. satisfying arg(z-1)=45° and arg(z+1)=α together is: a)(-pi,0] U [pi/4,pi] b)(-pi,0) c) [pi/4,pi] 2.Let it be known that all the roots of an equat ...
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PLS DO 2ND AND 3RD QUESTIONS AND PLS INCLUDE COMPLETE SOLUTIONS [1] LetA,B, C be three sets of complex numbers as defined below A = {z : Im(z)≥1} B = {z :|z-2-i |=3} C = {z :Re((1-i)z) = 2 } Q.1 The number of elements in th ...
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in a set of 5 games in a tennis match between A and B , the probability of a player who has won the earlier game winning a game is 2/3. A wins the first game.The probability that A will win atleast three of the next four game ...
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no. of soln of x- (1/x2-a2)=a - (1/x2-a2) ...
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*Image* SOMEONE PLS EXPLAIN THE SOLUTION!!! ...
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pL try jus da 3rd Que. 1st two are easy *Image* ...
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Q If z1 and z2 r uni modular complex numbers and it is given that z12+ z22=4 then find the value of (z1+z1)2 +(z2+z2)2 (A)9 (B)10 (C)12 (D)none of these ...
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Q1 let f(x)+f(1/x)=f(x)*f(1/x). if f(4)=17.find f(7). a) 48 b) 45 c) 50 d) 53 ...
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no of ways in which a person can walk up a stairway which has 7 steps if he can take 1 or 2 steps up d stairs at a time is: A rhombus has sides of length 10cm. a circle with centre A passes through C & similarly a circle with ...
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stat1: if p is chosen at random from the interval [0,5] then the pblity of the eqn x2+px+(p+2)/4=0 having real roots is 2/5 cozzz stat 2:for real roots either p<= -1 or >=2 ans is d i can get da 2nd one so pl explain on ...
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How many distinct ordered pairs (x,y) exist where x and y are positive integers and satisfy xy = 72(x+y) ? ...
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Find the value of n such that an+1+bn+1/an+bn may be geometric mean between a and b . ...
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*Image* SOLUTION ahead *Image* Can Sum1 pl. write the Statements for the proof that is why did they apply SUCH Conditions for each of the cases ??? [7] ...
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If the first and the nth term of a G.p are a and b,respectively ,and if P is the priduct of n terms,prove that P2=(ab)n. ...
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If a,b,c,d are in G.p then show that (a2+b2+c2) (b2+c2+d2)=(ab+bc+cd)2 ...
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6. The A.M. between m and n and G. M. between a and b are each equal to ma+nb /m+n . Then m = (A) a b / a + b (B) b a / a + b (C) 2a b / a + b (D) 2b a / a + b ...