1
CBSE 12th Mathematics Delhi Set 1 - 2024
Subjective
+5
-0
37. A rectangular visiting card is to contain $24 \mathrm{sq} . \mathrm{cm}$. of printed matter. The margins at the top and bottom of the card are to be 1 cm and the margins on the left and right are to be $1 \frac{1}{2} \mathrm{~cm}$ as shown below:
On the basis of the above information, answer the following questions:
(i) Write the expression for the area of the visiting card in terms of $x$.
(ii) Obtain the dimensions of the card of minimum area.
2
CBSE 12th Mathematics Delhi Set 1 - 2023
Subjective
+5
-0
(a) The median of an equilateral triangle is increasing at the rate of $$2 \sqrt{3} \mathrm{~cm} / \mathrm{s}$$. Find the rate at which its side is increasing.
OR
(b) Sum of two numbers is 5. If the sum of the cubes of these numbers is least, then find the sum of the squares of these numbers.
Questions Asked from Application of Derivatives (Marks 5)
Number in Brackets after Paper Indicates No. of Questions
Class 12 Subjects
Physics
Electromagnetism
Electrostatics Current Electricity Capacitor Magnetic Effect of Current Magnetic Properties of Matter Electromagnetic Induction Alternating Current Electromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Relations and Functions
Calculus
Continuity and Differentiability Application of Derivatives Indefinite Integration Definite Integration Application of Integration Differential Equations
Algebra