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बिंदुओं `(0,0),(2,3) ` तथा बिंदुओं `(2,-2) ` तथा ` (3,5) ` को मिलाने वाली रेखाओं के बीच का कोण ज्ञात कीजिए|

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माना `m_1` = बिंदुओं `(0,0)` तथा (2,3) को मिलाने वाली रेखा की प्रवणता ` ( 3-0 )/( 2-0 ) =(3)/(2) `
तथा `m_2 ` = बिंदुओं (2,-2) तथा ( 3,5) को मिलाने वाली रेखा की प्रवणता `( 5+ 2)/( 3-2) =7`
माना दोनों रेखाओं के बीच कोण ` theta ` है|
`therefore " " tan theta =+- (m_2-m_1)/( 1+ m_1m_2) =+- ( 7-( 3)/(2) ) /( 1+ 7((3)/(2))) =+- (11)/((2) /( (23) /( 2)))`
`rArr " " tan theta =+- ( 11)/(23) rArr " " tan theta =tan ^(-1) (+- ( 11)/(23)) `

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