Math Chapter Wise question with answer

Q01 The orthogonal trajectories of the family of curves xy=c2 are: English · UP PCS (Pre) 1997 Q02 If the curve 2 ay x 7 + = + = and 3 x y =, cut orthogonally at (1,1), then the value of a is: English · KVS PGT 23-12-2018 Q03 The orthogonal trajectories of the hyperbolas xy = c2 are: English · UP PCS (Pre) 1998 Q04 If the function f given by f(x)= x3 –3 (a– 2)x2 +3ax + 7, for some a∈R is increasing in (0, 1] and decreasing in [1... English · EMRS PGT-2023 Q05 The function -1 (x) = cot x + x f increases in the interval: English · EMRS PGT-2023 Q06 The equation of tangent to the curve y = x + sinx. cosx at x = 2 π is: English · KVS PGT 2023