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30 Aug 2018, 05:15
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
70% (01:06) correct
30%
(00:51)
wrong
based on 91
sessions
History
Date
Time
Result
Not Attempted Yet
What is the equation of line b which is parallel to line a?
(1) The slope of line a is 3/4 and it crosses the y-axis at 3.
(2) Line b has no point in common with line a.
(1) The slope of line a is 3/4 and it crosses the y-axis at 3.
(2) Line b has no point in common with line a.
30 Aug 2018, 05:22
Kudos
Bookmarks
Bunuel
CONCEPT: For Parallel Lines, Slopes are equal i.e. \(m_1 = m_2\)
Question : Equation of line b = ?
Statement 1: The slope of line a is 3/4 and it crosses the y-axis at 3.
This statement informs us about slope of line a i.e. slope of line b as well (as both slopes are equal)
but Y-intercept of line b is still unknown hence
NOT SUFFICIENT
Statement 2: Line b has no point in common with line a
This statement also refers to the given information that lines are parallel (Two lines will not share any common point ONLY if the two lines are parallel hence USELESS statement for any purpose
NOT SUFFICIENT
Combining the statements
Combining the statements doesn't make sense because second statement is useless as we already knew that lines a and b are parallel and first statement alone fails to give us any information about the Y-intercept of line a hence
NOT SUFFICIENT
Answer: Option E
30 Aug 2018, 09:26
Kudos
Bookmarks
Bunuel
Question stem:- What is the equation of line b which is parallel to line a
a) implies slope of line b-slope of line a =m (say)
b) Equation of line 'b' is in the form y=mx+c, where c(y-intercept of line b) can be 0, +/-. However, we need an unique value of 'c' so that equation of line 'b' be unique.
St1:-The slope of line a is 3/4 and it crosses the y-axis at 3.
Or, m=3/4 . Value of c is not known. c can have any value.
So, equation of line b is not unique.
Insufficient.
St2:- Line b has no point in common with line a.
This is the definition of parallel lines and this information is already stated in question stem. No new info.
Insufficient.
Combined, No new info.
Insufficient.
Ans. (E)
