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Monotonically Decreasing Functions

55. If -1 < m...

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55. If -1 < m < 3 then prove that the roots of x-2mx+m-1 = 0 lies in(-2,4)

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Similar questions

Q. If roots of equation

x^{2} - 2 m x + m^{2} - 1 = 0

lie in the interval

(- 2, 4)

Q. If the roots of the equation

x^{2} - 2 m x + m^{2} + 1 = 0

are imaginary, then

m

Q. If the roots of the equation

x^{2} - 2 m x + m^{2}

-1=0 lie in the interval (-2,4) then

if the roots of the equation x² -2mx +m² - 1 =0 lie in the interval (-2,4) then,

a) m ~ (-1,3) b) m~(1,5)

c) m~(-3,1) d) m~(-1.5)

where ~ stand for "belongs to".

Q. If the values of

m

for which exactly one root of the equation

x^{2} - 2 m x + m^{2} - 1 = 0

lies in the interval

(- 2, 4)

A

, then the number of integral points common to set

A

R

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