Detailed solution will be appreciated. Thanks

Question

Detailed solution will be appreciated.
Thanks

iamcartic · Answer

Let the equations be:
y=mx+c and y=ax+b

St1: we get 2 eqs - 5m+c=1 and 5a+b=1 or 5m+c=5a+b nothing can be said about values of m and a from this relation hence insuffic.

st2: c>b doent provide any relation btw m and a.

now combining them since 5m+c=5a+b and c>b then mhas to be less than a thus sufficient.

C is the answer

siux15 · Answer

Statement 1 tells us the lines do not have the same slope *EDIT* (this is true only given statement 2)
Statement 2 tells us that N is "above" P at somewhere at X=0

There are three possibilities:
Both lines are pointing up (positive slope) => SLOPE(N) > SLOPE(P)
Both lines are pointing down (negative slope) => SLOPE(N) < SLOPE(P)
One line is pointing up, one line is pointing down

x2suresh · Answer

Good explanation.

Agreed.

bhatiagp · Answer

Excellent explanation "iamcartic"

durgesh79 · Answer

line n crosses y axis at (0,a) 
line p crosses y axis at (0,b)

as per statement 1 both lines pass through (5,1)

slope of line n = (1-a)/5 ------ using slope = (y2 - y1) / (x2 - x1)
slope of line p = (1-b)/5

we have to determine if 1-a < 1-b

as per statement 2 : a > b 
multiply by -1 on both sides, the inequality sign will change
-a < -b 
add 1 on both sides 
1-a < 1-b

Option C

arjtryarjtry · Answer

durgesh... is this an ok way of analysing??? or its not advisable?

its like this .. keep one line(LINE n) fixed at 5,1 and a certain y intercept. then take the other line(line P) and fix one point at 5,1 and y intercept < 1st y intercept.

spriya · Answer

take line n : y=nx+c line p : y=px+c1 hence now (1) says (5,1) satisfies above equations => 1=5n+c 1=5p+c1 5(n-p)=c1-c not solvable since c>c1 or cc1 does not help since both are indepedent eqns (n-p)x=c1-c => x is a variable INSUFFI COMBINING (1) and (2): 5(n-p)=c1-c and c>c1 => n SUFFI IMO C

durgesh79 · Answer

i think its ok.. make sure you use both conditions on xy plane only after eliminating that each statement alone is not suff...

Detailed solution will be appreciated. Thanks

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