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equation of curve y²-x²+48 +6=0 Let, the equation of Tongent to the curve be y = mx + 1 m where, m = slope of lime Since A (-1,-1) Jdies on this lime, Substitute x=-1₂ cmd y = -1 Im equation (-1) = (-1) = -m - m2 M(-1) + mtm - m² +1 - M-1=0 Solution of Quadrotic equation M 1,2 = 132 = (1 - (-1) ± √ED ²- 4x(+)x) 2x1 1 ± √5 2

equation of curve y²-x²+48 +6=0 Let, the equation of Tongent to the curve be y = mx + 1 m where, m = slope of lime Since A (-1,-1) Jdies on this lime, Substitute x=-1₂ cmd y = -1 Im equation (-1) = (-1) = -m - m2 M(-1) + mtm - m² +1 - M-1=0 Solution of Quadrotic equation M 1,2 = 132 = (1 - (-1) ± √ED ²- 4x(+)x) 2x1 1 ± √5 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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equation of curve y²-x+44 +6=0 Let, the equation of Tongent to the curve be y = mx+1 m (11) where, m = slope of lime Since A (-1,-1) Jies on this lime, x=-1₂ cmd y = -1 Im equation (-1) = M (-1) + 1 (-1) -m+mm _m² +1 -m m² -m-1=0 = Solution of M 1,2 = M1₂2 of Quadrotic equation = • (-1) ± √√√ED²- 4x(-1)Xx) 2x1 1 ± √5 2 Substitute IT
Transcribed Image Text:equation of curve y²-x+44 +6=0 Let, the equation of Tongent to the curve be y = mx+1 m (11) where, m = slope of lime Since A (-1,-1) Jies on this lime, x=-1₂ cmd y = -1 Im equation (-1) = M (-1) + 1 (-1) -m+mm _m² +1 -m m² -m-1=0 = Solution of M 1,2 = M1₂2 of Quadrotic equation = • (-1) ± √√√ED²- 4x(-1)Xx) 2x1 1 ± √5 2 Substitute IT
So, M₁ = Now fan d fand angle between the Tangent lime (2) Itama) 11 M₂- = LJ 1+Js = 1-√√5 1+√5 - 1-√s 1 + (1+53) (1-_-5³) ग्ड √S 1 + 1-5 M₁-M₂ 1 + M₁ M₂ tama = √5 x 4 ग्ड 4+1-5 4√5 2 = tam-¹ (00) 2 = 90° Soi angle between Two Tangent draw at A (-1,-1) is 90°
Transcribed Image Text:So, M₁ = Now fan d fand angle between the Tangent lime (2) Itama) 11 M₂- = LJ 1+Js = 1-√√5 1+√5 - 1-√s 1 + (1+53) (1-_-5³) ग्ड √S 1 + 1-5 M₁-M₂ 1 + M₁ M₂ tama = √5 x 4 ग्ड 4+1-5 4√5 2 = tam-¹ (00) 2 = 90° Soi angle between Two Tangent draw at A (-1,-1) is 90°
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