Math Chapter Wise question with answer

Q01 The length of the subnormal of the rectangular hyperbola x2 - y2 = a2 at the point (, 2) a a is English · PGT 2004 Q02 The orthogonal trajectories of the hyperbolas xy = c2 are: English · UP PCS (Pre) 1998 Q03 Two positive numbers whose sum is 16 and sum of whose cubes in maximum are given by: English · PGT 2002 Q04 If the parametric equation of a curve is given by x = et cost, y = et sint, then the tangent to the curve at the po... English · Haryana PGT 2018 Q05 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 Q06 The function -1 (x) = cot x + x f increases in the interval: English · EMRS PGT-2023