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CBSE Class 9 Answered

If the coordinate  if a point M are (-2, 9) which can be expressed  as (1+x,  y^2) and y>0 then find in which quadrant  do the following  points: P(y,x), Q(2,x), R(x^2, y-1), S (2x-3y)  
Asked by Nimmi | 26 May, 2018, 02:28: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight M left parenthesis negative 2 comma 9 space right parenthesis space equals space left parenthesis space 1 plus straight x comma space straight y squared right parenthesis
rightwards double arrow space 1 space plus space straight x space equals space minus 2
rightwards double arrow space straight x space space equals space minus 3
Similarly comma
straight y squared space equals space 9
rightwards double arrow space straight y space equals space plus-or-minus space 3.... but space straight y greater than 0
rightwards double arrow space straight y space equals space 3
straight P left parenthesis space straight y comma space straight x right parenthesis space equals space straight P left parenthesis space 3 comma space minus 3 right parenthesis.........4 th space Quadrant space space as space straight x space is space positive space and space straight y space is space negative.
straight Q left parenthesis space 2 comma space straight x right parenthesis space equals space straight P left parenthesis space 2 comma space minus 3 right parenthesis.........4 th space Quadrant space space as space straight x space is space positive space and space straight y space is space negative.
straight P left parenthesis space straight x squared comma space straight y minus 1 right parenthesis space equals space straight P left parenthesis space 9 comma space 2 right parenthesis.........1 st space Quadrant space space as space straight x space is space positive space and space straight y space is space positive.
straight P left parenthesis space 2 straight x comma space minus 3 straight y right parenthesis space equals space straight P left parenthesis space minus 6 comma space minus 9 right parenthesis.........3 rd space Quadrant space space as space straight x space is space negative space and space straight y space is space negative. end style
Answered by Yasmeen Khan | 28 May, 2018, 10:58: AM
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