Mathematics  Hello friends here is the question paper 📜 which given on our PUT's  To get this in full quality just click here For second page click here  In second page you will get very very very important question and have 70% change to come in exam made by experienced teacher SECTION-A (2Marks each) Q1. Find the symmetry of the curve x^3y^2=x^2-a^2x Q2. if x =rcos@ ,y=rsin@ find del(x,y)/del(r,@) Q3. Find the stationary points of the function x^3y^2(6-x-y) Q4. Is the following matrix orthogonal ? Q5. Evaluate β(2,3/2) Q6. Find the outward normal vector of 2x^3+2xy+y^2=3 at point (1,2,3) Q7. Find the acceleration of the particle moving along curve x=Sint,y=cos2t,z=e^t at (t=2) SECTION-B(3marks each) Q8. Y=xlog(x-1/x+1) show that,  Y =(-1) (n-2)! [(x-n/(x-1)^n)-(x+n/(x+1)^n)]  Q9. Show that rectangular solid of maximum volume that can be inscribed in a given sphere is a cube Q10. Prove that  Γ(m) Γ(m)+1/2=√π/2^(2m-1) Γ(2m) Q11. Find the Eigen Values and Eigen Vectors of A =   Q1