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 The curvature of the curve xy = a2 at the point (a,a) is: English · UP PCS (Pre) 1997 Q03 The length of the normal at the point (x, y) the curve x x a a 1 y a e e 2 − = + is: English · PGT 2002 Q04 If the angle between the radius vector and the tangent at any point (r, θ) on the curve r = f (θ) is denoted by φ,... English · UP PCS (Pre) 1998 Q05 For the curve r = f (θ) of the length of the polar sub-length at the point (r,θ) is– English · UP PCS (Pre) 1995 Q06 The radius of curvature of the curve x y 1 + = + = at the point 1 1, 4 4 is equal to: English · UP PCS (Pre) 2000