# If `a lt c lt b` then the roots of the equation `(a−b)x^2 +2(a+b−2c)x+1=0` are

Updated On: 27-5-2021

22.0 k+

1.1 k+

Answer

Text Solution

imaginary

real

one real and imaginary

equal and imaginary

A

Transcript

Time | Transcript |
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00:00 - 00:59 | if he is lesbian see less than B then the roots of the equation a minus b square into X square + 2 AV -2 C Into X + 1 is equal to zero equation we have been given is a minus b square into X square + 2 into a + b minus to see Into X + 1 is equal to zero night we need to find the roots of the equation with their imaginary real one real and imaginary equal and imaginary so finding the roots first need to find the d b is equals to b square - 4ac write this becomes b square is BS the coefficient of X that is this becomes 4 A plus B minus C square - 4ac into a is a minus b whole square the coefficient of X is a and c is one so AC this |

01:00 - 01:59 | so this kinda nice 4 into a minus b + b minus C whole square and this can be done as - 4 into a minus b minus b minus C whole square is eventually give us a minus b whole square so this becomes 4 into minus A into B minus C Adidas 16 a minus b minus C roots of the equation also in the equation given that a smaller than c and smaller than B is smaller than C 16 then be so now from this we can see that will be less than zero and B minus C will be greater than zero because is smaller than c and b is greater than C right |

02:00 - 02:59 | show RD comes out to be less than zero if D is less than zero that means our roots will be imaginary sorry equation option one is correct |

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