Math Chapter Wise question with answer

Q01 For f (x, y) = x2 y – y3, which one of the following gives the corresponding gradient vector field? English · JSSC PGT 2018 Q02 Which one of the following is not correct for a common catenary English · UP PGT-2016 (02-02-2019) Q03 Which of the following identities is not correct? English · (GIC) PGT, 2015 Q04 Which one of these statements is true for any two vectors α,β in Euclidean space? English · PGT 2003 Q05 A unit vector, which is normal to the surface x2 – xy + z 2 = 1 at the point (1, 1, 1) is– English · UP PGT 2021 Q06 A vector, which is normal to the surface 2 x xy yz 5 − + = − + = − + = − + = at the pint (1, 2, 3) is English · UP PGT-2016 (02-02-2019)