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Joined: 11 Sep 2017
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In which quadrant does the point P(x,y) lie? [#permalink]
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19 Sep 2017, 04:05
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In which quadrant does the point P(x,y) lie? (1) Point R(x, y+1) is in the second quadrant. (2) Point Q(x+3, y) is in the third quadrant.
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Re: In which quadrant does the point P(x,y) lie? [#permalink]
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19 Sep 2017, 04:21
In which quadrant does the point P(x,y) lie?(1) Point R(x, y+1) is in the second quadrant. In the second quadrant, xcoordinate is negative and ycoordinate is positive. So, x < 0 and y + 1 > 0 (y > 1). y > 1, means that y could be negative as well as positive, thus P(x, y) could be P(negative, negative) = III quadrant as well as P(negative, positive) = II quadrant. Not sufficient. (2) Point Q(x+3, y) is in the third quadrant. In the third quadrant, both x and y coordinates are negative. So, x + 3 < 0 (x < 3) and y < 0. Since, x < 3, then it's negative, thus P(x, y) = P(negative, negative) = III quadrant. Sufficient. Answer: B.
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In which quadrant does the point P(x,y) lie? [#permalink]
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19 Sep 2017, 04:34
1) Point R(x, y+1) is in the second quadrant. This states that x is negative. but we clearly don't get any idea about y. y can be positive as well as negative. eg: x=3 y=2 then R(x,y+1) in II quadrant. x=3, y= 0.5 then R(x,y+1) in II quadrant. Statement I is insufficient.
(2) Point Q(x+3, y) is in the third quadrant. this states that x+3 is negative and y is negative. if x+3 is negative then x will be negative as well for all possible cases. hence x is negative and y is negative; means point P will be in III quadrant. Statement II is sufficient. hence, Answer is B.
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Re: In which quadrant does the point P(x,y) lie? [#permalink]
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19 Sep 2017, 04:41
Quadrant of point P(x,y)
(1) Point R(x, y+1) is in the second quadrant. => As above point R lie in 2nd quadrant => x =ve and y+1 is +ve Now we have to find quadrant of P(x,y). As we already know x is ve we ahve to check value of y
If R(1,5) => P =(1, 4) => P lies in second quadrant if R (1,0.5) => P =(1, 0.5) => P lies in third quadrant.
So either P lies in second or third quadrant. here we don't know value of y . Insufficient
(2) Point Q(x+3, y) is in the third quadrant. => As above point Q lie in 3rd quadrant => x+3 =ve and y is ve Now we have to find quadrant of P(x,y)
If Q(0.5,1) => x+3 = 0.5 => x =3.5 => P =(3.5, 1) => P lies in third quadrant
Implies for all the values of x point P will lie in 3rd quadrant. Sufficient
Answer: B




Re: In which quadrant does the point P(x,y) lie?
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