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रेखा `x+ y= 3 ` तथा बिंदुओं (1,1) तथा (-3,4) को मिलाने वाली रेखाओं के बीच का कोण ज्ञात कीजिए

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बिंदु (1,1) तथा (-3,4) से होकर जाने वाली रेखा की प्रवणता
` " "m_1 =(1-4)/( 1+3) =-(3)/(4)`
तथा दी गयी रेखा ` x+y -3=0 ` की प्रवणता ` m_2 =-(1)/(1) =- 1 `
यदि दोनों रेखाओं के बीच का कोण `theta ` हो तो दोनों के बीच न्यूनकोण
` " " theta = tan ^(-1) | (m_1-m_2)/( 1+m_1 m_2) | `
` " " =tan ^(-1) |( -(3)/(4) +1)/( 1+(3)/(4) )| =(1)/(7)`
`rArr " " theta =tan ^(-1) ((1)/(7)) `
तथा `" " ` दोनों के बीच अधिकोण `= pi -tan ^(-1) ((1)/(7)) `

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