It is currently 20 Nov 2017, 09:09

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the xy-plane, line l and line k intersect at the point

Author Message
TAGS:

### Hide Tags

Manager
Joined: 22 Jul 2008
Posts: 96

Kudos [?]: 241 [0], given: 11

Location: Bangalore,Karnataka
In the xy-plane, line l and line k intersect at the point [#permalink]

### Show Tags

05 Jan 2010, 08:00
00:00

Difficulty:

25% (medium)

Question Stats:

74% (00:42) correct 26% (01:10) wrong based on 100 sessions

### HideShow timer Statistics

In the xy-plane, line l and line k intersect at the point (16/5, 12/5). What is the slope of line l?

(1) The product of the slopes of line l and line k is –1.
(2) Line k passes through the origin.
[Reveal] Spoiler: OA

Kudos [?]: 241 [0], given: 11

Math Expert
Joined: 02 Aug 2009
Posts: 5212

Kudos [?]: 5851 [0], given: 117

Re: In the xy-plane, line l and line k intersect at the point [#permalink]

### Show Tags

05 Jan 2010, 08:14
C..
si) gives us the relation in two lines ..the two r perpendicular to each other...not suff
sii) it gives us the 2nd pt on line k... we can find the slope of k from it but not l.. not suff.
combined frm k ,slope of l can be found frm reln in si..suff
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5851 [0], given: 117

Manager
Joined: 24 Aug 2016
Posts: 68

Kudos [?]: 19 [0], given: 24

Location: India
WE: Information Technology (Computer Software)
Re: In the xy-plane, line l and line k intersect at the point [#permalink]

### Show Tags

04 Oct 2016, 22:50
Let equation of line l --> $$y = Lx + a$$
Let equation of line K --> $$y = Kx + b$$

Both line passes through (16/5, 12/5)

$$16L+5a = 12$$ --Eq 1
$$16K+5b = 12$$ --Eq2

(1) The product of the slopes of line l and line k is –1.

$$L * K=-1$$ --Eq3

We have 3 equation and 4 unknown (a,b,L, M). -- Not sufficient

(2) Line k passes through the origin.

$$b = 0$$
$$16K+5b = 12$$ ==> $$16K= 12$$ ==> $$\frac{3}{4}$$ -- Not sufficient

When we combine (1) and (2), L = -$$\frac{4}{3}$$ --Sufficient.

Ans C.
_________________

"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."

Kudos [?]: 19 [0], given: 24

Re: In the xy-plane, line l and line k intersect at the point   [#permalink] 04 Oct 2016, 22:50
Display posts from previous: Sort by