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Mathematics: Post your doubts here!

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View attachment 14425

Q8:
What roots did you get ?

Q6:
A chord is a straight line joining two points on the circumference of a circle

Arc is NOT a line, its a curved part of a pizza slice shaped sector of a circle!
hey bt id u look at the question in that is clearly says that we have to find the length of the chord PQ,,,which means that PQ is also the arc correct??so both are same...??is it
smzimran
 
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(i)
x^4 -2x^3 -2x^2 + a = (x^2 -4x +4)Q(x)
f(x) = (x-2)(x-2) Q(x) , since factorisation of (x^2 -4x +4) is (x-2)^2

so let x=2, f(2)=0 then you will be able to find a already.
a is 8.

(ii)
by using long division,
f(x)
=(x-2)(x-2)(x^2 + 2x +2) , by doing completing the square on (x^2 +2x +2)
= (x-2)^2 ((x+1)^2 +1)

we can see that for any number of x,
it is positive,
because any square number multiplies with any square number + 1,
it will never be negative.
 
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(i)
x^4 -2x^3 -2x^2 + a = (x^2 -4x +4)Q(x)
f(x) = (x-2)(x-2) Q(x) , since factorisation of (x^2 -4x +4) is (x-2)^2

so let x=2, f(2)=0 then you will be able to find a already.
a is 8.

(ii)
by using long division,
f(x)
=(x-2)(x-2)(x^2 + 2x +2) , by doing completing the square on (x^2 +2x +2)
= (x-2)^2 ((x+1)^2 +1)

we can see that for any number of x,
it is positive,
because any square number multiplies with any square number + 1,
it will never be negative.
hey hii celoth for the 2nd part cant we find out the derivative and show that all the 3 points are minima???any idea about that method?does it work?
 
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hey hii celoth for the 2nd part cant we find out the derivative and show that all the 3 points are minima???any idea about that method?does it work?

it will be 2 minima and 1 maxima....
and then you can find the coordinates for every turning points,
you will find that all points are above x-axis,
so i think it will works too
 
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it will be 2 minima and 1 maxima....
and then you can find the coordinates for every turning points,
you will find that all points are above x-axis,
so i think it will works too
Hey can u show me how did u get one maxima for 0??
 
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Okk got that bt then how will it be never negative as we also get one maxima which means that it is negative??correct

do you know how is a quartic curve looks like ??
find it out at google,
then all your doubts will be solved.
 
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do you know how is a quartic curve looks like ??
find it out at google,
then all your doubts will be solved.
Ohhh ya bro its A quartic curve exactly i got the same graph as shown on google thanks means it is also never negative
!!
 
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