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# In the xy-plane, the line with equation ax + by + c = 0

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Manager
Joined: 11 Jan 2007
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In the xy-plane, the line with equation ax + by + c = 0 [#permalink]  05 Jun 2007, 19:41
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Q26:
In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope . What is the value of b?
(1) a = 4
(2) c = −6

Q32:
If m and v are integers, what is the value of m + v?
(1) mv = 6
(2) (m + v)^2 = 25
_________________

cool

CEO
Joined: 29 Mar 2007
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[#permalink]  05 Jun 2007, 19:57
Q32: C.

Stmnt1: 2*3=6, 6*1=6 insuff. m+v could be 5 or 7.

Stmnt 2: (m + v)^2 = 25 (4+1)^2=25 or (3+2)^2=25

insuff.

Together: since m and v are integers... 3+2=5 3*2=6
take other numbers 1+4=5 1*4≠6 So C is the answer
Director
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Re: DS [#permalink]  05 Jun 2007, 20:05
jet1445 wrote:
Q32: If m and v are integers, what is the value of m + v?
(1) mv = 6
(2) (m + v)^2 = 25

from 1:

if m = 1, v = 6
if m = 2, v = 3
if m = 3, v = 2
if m = 6, v = 1
if m = -1, v = -6
if m = -2, v = -3
if m = -3, v = -2
if m = -6, v = -1. so nsf...

from 2:

if m = 1, v = 4
if m = 2, v = 3
if m = 3, v = 2
if m = 6, v = -1
if m = -1, v = 6
if m = -2, v = -3
if m = -3, v = -2
if m = -6, v = 1. so on............ so nsf.

from 1 and 2:

if m = 2, v = 3.
if m = -2, v = -3.
if m = 3, v = 2.
if m = -3, v = -2. so still NSF.

alternatively:

from 1: mv = 6 ............i

from 2: (m + v) ^2 = 25
m + v = + or - 5.......................ii
so we can different values if we solve eq i and ii.

Should be E.
SVP
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Re: 2 DS - XY-Plan / Number properties [#permalink]  05 Jun 2007, 22:31
jet1445 wrote:
Q26:
In the xy-plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope . What is the value of b?
(1) a = 4
(2) c = −6

Would u revise your question? The bold part seems to have a missing element.

Currently, the answer is (E). But if the slope is given, the answer is (A)
Manager
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[#permalink]  06 Jun 2007, 03:18
for Q 32, the answer seems to be E.
I is clearly insufficient as 6*1 and -6*-1 both yield 6.
II is also in sufficient as 3+2 and -3+ -2 both when squared give 25.
when taken together still it is insufficient because 3*2 and -3*-2 both give 6 abd when summed and takeb square both give 25. so both statements taken together dont give a definite answer.
The thing to look closely in this sort of questions is the word INTEGERS. this can reduce the answer options and make a question solvable.

for Q 26. I shall give the answer next week as by then I would have completed cordinate geometery. Just kidding...
CEO
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[#permalink]  06 Jun 2007, 07:07
Ya ur right its E. Forgot bout those negative numbers.
Manager
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[#permalink]  06 Jun 2007, 07:55
Are you guys sure that negative numbers can be integers?
Manager
Joined: 22 May 2007
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[#permalink]  06 Jun 2007, 07:57
Opps, never mind. They are
Intern
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[#permalink]  06 Jun 2007, 09:11
26) WHEN slop not given.....E and when given (A)

27) E, sure.
[#permalink] 06 Jun 2007, 09:11
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# In the xy-plane, the line with equation ax + by + c = 0

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