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Step by step text solution for For any complex number z, show that the minimum value of | z| + | z -1 | is 1. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.
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UNITED BOOK HOUSE-ALGEBRA-EXERCISE
- For any complex number z, show that the minimum value of | z| + | z -1...
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- If a=cosalpha+isinalphaand 1+sqrt(1-b^2)=nb,show that b/(2n)(1+na)(1+...
09:15
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- If x=a+bw+cw^2 ,show that x^3-3ax^2+3(a^2-bc)x=a^3+b^3+c^3-3abc.when w...
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- If one of the root of the equation (2 + 3i)x^2 - bx + (3 -i) = 0 is (2...
05:14
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- If w is an imaginary cube root of unity, show that w/9[(1-w)(1-w^2)(1-...
09:15
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- If p + q = m + n and p^2 + q^2 = m^2 + n^2, then by using mathematical...
09:25
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- If a. b, c are in G.P. and logca, logb c, loga b are in AP show that t...
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- If A and G are the A.M.and G.M. of two unequal positive numbers a and ...
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- In a G.P. 1st term and common ratio are a and r resp. and if th sum of...
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- If the sides of a triangle are three consecutive termsof a G.P. then s...
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- Show that : (^(4n)C(2n))/(^(2n)Cn) = (1.3.5...(4n-1))/{1.3.5...(2n-1)}...
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- For a le 0, determine all the roots of the equation x^2-2a |x-a|-3a^2 ...
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- Prove that nCr+3.nC(r-1)+3nC(r-2)+nC(r-3)=(n+3)Cr
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- If (1+x+x^2)^n=a0+a1x+a2x^2+....+a(2n)X^(2n),show that a0+a3+a6+.....=...
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- The coefficient of the term independent of x in the expansion of [((x+...
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- Prove that the inequations (2x+1)/(7x-1)>5and (x+7)/(x-8)>2have no sol...
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- How many five -digit numbers divisible by 3 can be formed using the di...
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- In how many cases there will be 3 Sundays when 20 dates are named at'r...
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