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questions from SPARK's workshop
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shivam_01 shivam_01 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 03:37 PM

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Originally Posted by jain12345 View Post
here goes the third one

3. The number of solutions of the equation is
(a) 4

(b) 2

(c) 1

(d) 0
Equations please and by the way waht is this Spark ?????


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Re: questions from SPARK's workshop - 28-09-2008, 03:38 PM

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Originally Posted by jain12345 View Post
hi guys here goes the second question

2. In copying a quadratic equation of the form x^2 + px + q =0, a student wrote the coefficient of x incorrectly and the roots were found to be 3 and 10; another student wrote the same equation but he wrote the constant term incorrectly and thus he found the roots to be 4 and 7. The roots of the correct equation are.
(a) 5,6

(b) 4,6

(c) 4, 5

(d) None of these
is the answer option a
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jain12345 jain12345 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 03:41 PM

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Originally Posted by shivam_01 View Post
Equations please and by the way waht is this Spark ?????
oops sorry

its 2x^2 + 9lxl-5 = 0


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Re: questions from SPARK's workshop - 28-09-2008, 03:43 PM

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Originally Posted by jain12345 View Post
oops sorry

its 2x^2 + 9lxl-5 = 0
4 solutions .....


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jain12345 jain12345 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 03:45 PM

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Originally Posted by shivam_01 View Post
Equations please and by the way waht is this Spark ?????
hi SPARK is a classroom coaching in pune..
i joined the free workshop.


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jain12345 jain12345 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 03:48 PM

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Originally Posted by shivam_01 View Post
4 solutions .....
no its not 4


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Re: questions from SPARK's workshop - 28-09-2008, 04:05 PM

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Originally Posted by shivam_01 View Post
4 solutions .....
how can i do it wrong
its 2 solutions when x>0 x= 1/2
and when x<0 x = -5


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Re: questions from SPARK's workshop - 28-09-2008, 04:08 PM

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Originally Posted by shivam_01 View Post
4 solutions .....
it can't be 4
sum of roots is - and product of roots negative
so one root is positive and one root neagtive
hence given the mod in the question
we shall have 2 roots


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jain12345 jain12345 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 04:12 PM

@shivam_01

now u got it correct

here goes the next one
4. If a, b, c Є {1,2,3,4,5}, the number of equations of the form ax ^ 2 + bx + c = 0 which have real roots is
(a)25

(b) 26

(c) 27

(d) 24


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shivam_01 shivam_01 is offline
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Re: questions from SPARK's workshop - 28-09-2008, 04:18 PM

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Originally Posted by jain12345 View Post
@shivam_01

now u got it correct

here goes the next one
4. If a, b, c Є {1,2,3,4,5}, the number of equations of the form ax ^ 2 + bx + c = 0 which have real roots is
(a)25

(b) 26

(c) 27

(d) 24
condition is b^2 >= 4ac Real roots

hence when b = 2 => a,c =1 1 value
=> b = 3 a,c = (1,1) (1,2) (2,1) ... so on

total 25 values


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