# Differentia geometry past/Previous question paper

-Differentia-geometry-Management Science all subject past paperÂ -Differentia-geometry idea -Differentia-geometry MCQ -Differentia-geometry Interview QuestionÂ â€“Management Science all courses -Technology â€“University Past Paper â€“Question paper â€“Past paper

**Q1:**

(a) Define the rectifying plane?

Prove that the normal plane at any point to the locus of center of curvature any cur bisect curvature at the corresponding the original

**Q2:**

(a). Define involutes and evolutes ? (b). Prove that there exist an infinite family of evolutes for space curve (involutes)? (10)

**Q3:**

a). Define characteristics and envelope of a family? (b). Prove that the envelope of one parameter family of the surfaces touch each member the family each point of chracteristics? (10)

**04:**

(a). Find the envelope of the plane ix+my+nz=p: Where pÂ²= a21Â²+ bÂ²mÂ² + cÂ²nÂ² and a, b, c are constant? (b). Find whether xyz = aÂ³ is developable (10)

**Q5:**

curvature of indicatrix of normal? (b). Prove that the edge of regression of the tangent developable the curve itself? (10)

#Differentia-geometry Â #Mathematic all subject past paperÂ #Differentia-geometry idea #Cost Differentia-geometry MCQ #Differentia-geometry Interview QuestionÂ # Mathematic all courses #Technology #University Past Paper #Question paper #Past paper