Math Chapter Wise question with answer

Q01 The greatest value of ((()) 1 3 y x 1 (x 1) = + − − = + − − = + − − = + − − on [0,1] is: English · PGT 2002 Q02 The area of the greatest rectangle, which can be inscribed in the circle x2 + y2 – 2ax + 2by + b2 = 0 is: English · UP PCS (Pre) 1998 Q03 The greatest value assumed by the function f(x)= 5- x - 3 is English · TGT 2004 Q04 The slope of tangent to the curve x=3t2 +1, y=t3 −1 at x=1 is: English · KVS PGT 2022 Q05 The slope of the tangent to the curve represented by x=t2 +3t–8 and y=2t2 –2t–5 at the point (2,–1) is English · TGT 2004 Q06 Slope of normal to the curve x = a cos3 θ, y = a sin3 θ at the point θ = π/4: English · UK SSSC LT 2020