Math Chapter Wise question with answer

Q01 The point on the curve y = x3 –3x + 2, where tangent is perpendicular to line y = 1 x, 3 is- English · RPSC PGT 2022 Q02 Double point of the curve x3 – y2 – 7x2 + 4y + 15x – 13 = 0 is- English · RPSC PGT 2022 Q03 What is the length of an arc of the curve y = 1– In (cos x) intercepted between x = 0 and x = π/4 English · OPSC PGT 2017 Q04 The curvature of the curve xy = a2 at the point (a,a) is: English · UP PCS (Pre) 1997 Q05 If a curve is given by rational algebraic equation, the tangents at the origin are obtained by: English · UP PCS (Pre) 1997 Q06 The chord of Curvature of the Curve P = f (r) (Polar form). English · TGT 1999