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

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

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