सीधी रेखाओं के युग्म 5x2 - 6xy + y2 = 0 के बीच का कोण है

  1. tan-1 3

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संकल्पना:

सीधी रेखाओं के युग्म का सामान्य समीकरण निम्न है

ax2 + by2 + 2hxy + 2gx + 2fy + c = 0

रेखाओं के बीच का कोण

θ = 

गणना:

दिया गया है कि:

5x2 - 6xy + y2 = 0

उपरोक्त की तुलना सामान्य समीकरण ax2 + by2 + 2hxy + 2gx + 2fy + c = 0 के साथ करने पर

a = 5; b = 1; 2h = -6; g = 0, f = 0, c = 0,

कोण निम्न होगा

θ = 

θ = 

θ = 

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