161 - Mathematics Questions Answers

If 9a+24b=1, a,b, βˆˆβ„+, prove that a2+b2β‰₯ 9( 4+93)3.

Asked By: JAMES GHOSH
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Plzz solve for even and odd values both during intermediate of answer steps πŸ™πŸ™πŸ™
Asked By: ASHLOK
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The expression ax2 + 2bx + b has same sign as that of b for every real x, then the roots of equation bx2 + (b – c) x + b – c – a = 0 are (A) real and equal (B) real and unequal (C) imaginary (D) None of these
Asked By: PREM
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If a,b and c are positive real numbers, show that

ab+c+bc+a+ca+bβ‰₯32

Asked By: MROY
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How to do it without using cauchy schwartz inequality?
Asked By: LUFFY
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Asked By: LUFFY
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Let the lines in the pair are m1x-y=0 and m2x-y=0 Find perpendiculars from (x,,y,) on lines and calculate their sum Use formulae m1+m2 = -2hb and m1m2= ab Inform for any issue

 

How to do it with calculus?
Asked By: LUFFY
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length for one turn = 3

Draw diagonal of a rectangle then turn it as a cylinder, you will get the construction given in the question.

In triangle l = 32+n2 So total length of wire having n turn = n32+n2 Compare with 20 and solve

 

Can it be solved by finding area ?
Asked By: LUFFY
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Sir pls solve
Asked By: KANDUKURI ASHISH
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The general solution of this kind of  differential eq. is y = eax Let a function g(x) = eaxf(x)    (1) differentiate eq. (1) thrice for getting g,,,(x) now for getting the same function as given  find a. you get the same function for  a = 1/2. clearly, for min 5 zeros of g(x), there are min 2 zeros for g,,,(x).  solve and inform if face any problem.

Plzz help me to solve this question ☺️☺️☺️
Asked By: ASHLOK
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