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CBSE Class 12-science Answered

If the polar coordinate (-2,135°) were converted and placed on a rectangular coordinate plane, which quadrant would it lie?
Asked by tv2000in | 25 May, 2019, 06:28: PM
answered-by-expert Expert Answer
P o l a r space c o o r d i n a t e s space left parenthesis r comma theta right parenthesis space a r e space g i v e n space a s space left parenthesis negative 2 comma space 135 degree right parenthesis rightwards double arrow r equals negative 2 space a n d space theta equals 135 degree I n space r e c tan g u l a r space c o o r d i n a t e space s y s t e m comma space t h e space c c o r d i n a t e s space a r e space left parenthesis x comma y right parenthesis space a n d space t h e y space c a n space b e space r e p r e s e n t e d space a s x equals r space cos theta space a n d space y equals r space sin theta rightwards double arrow x equals negative 2 space cos 135 degree equals negative 2 space left parenthesis negative sin 45 degree right parenthesis equals 2 space sin 45 degree equals square root of 2 space a n d y equals negative 2 space sin 135 degree equals negative 2 space left parenthesis cos 45 degree right parenthesis equals negative 2 space cos 45 degree equals negative square root of 2 S o comma space t h e space c o o r d i n a t e s space i n space r e c tan g l e space p l a n e space a r e space left parenthesis square root of 2 comma negative square root of 2 right parenthesis. T h u s comma space t h e y space l i e space i n space 4 t h space q u a d r a n t.
Answered by Renu Varma | 27 May, 2019, 10:41: AM

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