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Maths, Addmaths and Statistics: Post your doubts here!

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wait let me thinK .. idont think assumption will work
I meant to say that first we can assume value of 2. Then, solve them simultaneously. After that, work out the discriminant. If discriminant is positive, then it means that it intersects the curve in two distinct points.
I just started Add. Maths. So I'm not sure how to go for this question!:(
 
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wa
I meant to say that first we can assume value of 2. Then, solve them simultaneously. After that, work out the discriminant. If discriminant is positive, then it means that it intersects the curve in two distinct points.
I just started Add. Maths. So I'm not sure how to go for this question!:(
wait i m solving
 
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YAr I dont have time to type solution if u can wait till 6 it will be good q k light janay wali hai ..:(
 

asd

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MustafaMotani
Plz, need help here!
Q. Show that the line x+y=q will intersect the curve x^2-2x+2y^2=3 in two distinct points if q^2<2q+5.
In this, do we have to assume a value for q first? E.g. 2 would fit here. Is that fine or no?
No, arrange the first equation like this y=q-x
put this in the second equation given in place of y.
your final equation will be:
3x^2 +x(-2-4q) + 2q^2-3=o
Now, see the question says the line intersects the curve at 2 distinct points, So the b^2 - 4ac > 0
(-2-4q)^2 - 4 (3)(2q^2 -3) > 0
You will get q^2 - 2q -5 > 0
arrange it to q^2 > 2q+5
SHOWN. :)
 

asd

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No, arrange the first equation like this y=q-x
put this in the second equation given in place of y.
your final equation will be:
3x^2 +x(-2-4q) + 2q^2-3=o
Now, see the question says the line intersects the curve at 2 distinct points, So the b^2 - 4ac > 0
(-2-4q)^2 - 4 (3)(2q^2 -3) > 0
You will get q^2 - 2q -5 > 0
arrange it to q^2 > 2q+5
SHOWN. :)
Oh, wait, when you multiply the equation with the -ve sign, the '>' will change to '<'
Now, its perfect! :)
Haris Bin Zahid
 
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No, arrange the first equation like this y=q-x
put this in the second equation given in place of y.
your final equation will be:
3x^2 +x(-2-4q) + 2q^2-3=o
Now, see the question says the line intersects the curve at 2 distinct points, So the b^2 - 4ac > 0
(-2-4q)^2 - 4 (3)(2q^2 -3) > 0
You will get q^2 - 2q -5 > 0
arrange it to q^2 > 2q+5
SHOWN. :)
Oh....by the way I did a very long method. Instead of substituting, I formed an equation and squared (q-x), as in the other equation it was y^2.
 
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