Some results on Tangents and Normals

Differential Equations of Class 12

Some results on Tangents and Normals

(i) The equation of the tangent at P(x, y) to the curve
y = f(x) is Y - y = Some results on Tangents and Normals(X − x).

(ii) The equation of the normal at P(x, y) to the curve
y = f(x) is Y - y = Some results on Tangents and Normals.

(iii) The length of the tangent = CP = ySome results on Tangents and Normals

Some results on Tangents and Normals

(iv) The length of the normal = PD = ySome results on Tangents and Normals.

(v) The length of the cartesian subtangent = CA = ySome results on Tangents and Normals.

(vi) The length of the cartesian subnormal = AD = ySome results on Tangents and Normals

(vii) The initial ordinate of the tangent = OB = y − xSome results on Tangents and Normals.

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