Optimisation Problems

JEE Main Mathematics · Applications of Derivatives · 7 questions, latest first

• Consider the region R={(x, y): x ≤ y ≤ 9-11/3 x^2, x ≥ 0}. The area, of the largest rectangle of sides parallel to the coordinate…202524 January, Shift 1 · Q17
• Let A be the region enclosed by the parabola y^2=2 x and the line x=24. Then the maximum area of the rectangle inscribed in the…20248 April, Shift 2 · Q24
• Let a rectangle A B C D of sides 2 and 4 be inscribed in another rectangle P Q R S such that the vertices of the rectangle ABCD…20245 April, Shift 1 · Q9
• The maximum area of a triangle whose one vertex is at (0,0) and the other two vertices lie on the curve y=-2 x^2+54 at points (x,…202430 January, Shift 1 · Q7
• In an A.P., the sixth term a_6=2. If the product a_1 a_4 a_5 is the greatest, then the common difference of the A.P. is equal to202429 January, Shift 1 · Q6
• A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the…202310 April, Shift 1 · Q7
• A wire of length 20 m is to be cut into two pieces. A piece of length l_1 is bent to make a square of area A_1 and the other…202331 January, Shift 1 · Q68