Share

# Important Questions for ISC (Commerce) Class 12 - CISCE - Mathematics

Subjects
Topics
Subjects
Popular subjects
Topics
Mathematics
< prev 1 to 20 of 171 next >

If y = xx, prove that (d^2y)/(dx^2)−1/y(dy/dx)^2−y/x=0.

Appears in 4 question papers
Chapter: [3.02] Applications of Derivatives
Concept: Simple Problems on Applications of Derivatives

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/3. Also find maximum volume in terms of volume of the sphere

Appears in 4 question papers
Chapter: [3.02] Applications of Derivatives
Concept: Maxima and Minima

Find : int(x+3)sqrt(3-4x-x^2dx)

Appears in 4 question papers
Chapter: [3.03] Integrals
Concept: Methods of Integration - Integration by Substitution

The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?

Appears in 3 question papers
Chapter: [2.01] Matrices and Determinants
Concept: Adjoint and Inverse of a Matrix

If  f(x)=|[a,-1,0],[ax,a,-1],[ax^2,ax,a]|  , using properties of determinants find the value of f(2x) − f(x).

Appears in 3 question papers
Chapter: [2.01] Matrices and Determinants
Concept: Properties of Determinants

Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below:

 SchoolArticle A B C Hand-fans 40 25 35 Mats 50 40 50 Plates 20 30 40

Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.

Write one value generated by the above situation.

Appears in 3 question papers
Chapter: [2.01] Matrices and Determinants
Concept: Multiplication of Two Matrices

If x = a sin 2t (1 + cos 2t) and y = b cos 2t (1 – cos 2t), find the values of  dy/dx .

Appears in 3 question papers
Chapter: [3.01] Continuity, Differentiability and Differentiation
Concept: Derivatives of Functions in Parametric Forms

Find intsqrtx/sqrt(a^3-x^3)dx

Appears in 3 question papers
Chapter: [3.03] Integrals
Concept: Methods of Integration - Integration by Substitution

Integrate the following w.r.t. x (x^3-3x+1)/sqrt(1-x^2)

Appears in 3 question papers
Chapter: [3.03] Integrals
Concept: Evaluation of Simple Integrals of the Following Types and Problems

Evaluate :

∫_(-pi)^pi (cos ax−sin bx)^2 dx

Appears in 3 question papers
Chapter: [3.03] Integrals
Concept: Evaluation of Definite Integrals by Substitution

Find the integrating factor of the differential equation.

((e^(-2^sqrtx))/sqrtx-y/sqrtx)dy/dx=1

Appears in 3 question papers
Chapter: [3.04] Differential Equations
Concept: Solutions of Linear Differential Equation

If y = P eax + Q ebx, show that

(d^y)/(dx^2)=(a+b)dy/dx+aby=0

Appears in 3 question papers
Chapter: [3.04] Differential Equations
Concept: General and Particular Solutions of a Differential Equation

Solve the differential equation  (1 + x2) dy/dx+y=e^(tan^(−1))x.

Appears in 3 question papers
Chapter: [3.04] Differential Equations
Concept: Solutions of Linear Differential Equation

A card from a pack of 52 playing cards is lost. From the remaining cards of the pack three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.

Appears in 3 question papers
Chapter: [4] Probability (Section A)
Concept: Independent Events

The two vectors hatj+hatk " and " 3hati-hatj+4hatk represent the two sides AB and AC, respectively of a ∆ABC. Find the length of the median through A

Appears in 3 question papers
Chapter: [5] Vectors (Section B)
Concept: Position Vector of a Point Dividing a Line Segment in a Given Ratio

Show that the vectors veca, vecb are coplanar if veca+vecb, vecb+vecc  are coplanar.

Appears in 3 question papers
Chapter: [5] Vectors (Section B)
Concept: Product of Two Vectors > Scalar (Or Dot) Product of Two Vectors

Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle

x^2+y^2=4 at (1, sqrt3)

Appears in 3 question papers
Chapter: [7] Application of Integrals (Section B)
Concept: Area Under Simple Curves

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs 7 profit and  B at a profit of Rs 4. Find the production level per day for maximum profit graphically.

Appears in 3 question papers
Chapter: [10] Linear Programming (Section C)
Concept: Graphical Method of Solving Linear Programming Problems

Solve the differential equation  dy/dx = (x + y+2)/(2(x+y)-1)

Appears in 2 question papers
Chapter: [1] Relations and Functions (Section A)
Concept: Introduction of Relations and Functions

If x=a sin 2t(1+cos 2t) and y=b cos 2t(1cos 2t), find dy/dx

Appears in 2 question papers
Chapter: [3.01] Continuity, Differentiability and Differentiation
Concept: Derivatives of Functions in Parametric Forms
< prev 1 to 20 of 171 next >
Important Questions for ISC (Commerce) Class 12 CISCE Mathematics. You can further filter Important Questions by subjects and topics. Chapter wise important Questions for Class 12 CISCE. it gets easy to find all Class 12 important questions with answers in a single place for students. Saving time and can then focus on their studies and practice. Important questions for Class 12 chapter wise with solutions

Class 12 Mathematics can be very challenging and complicated. But with the right ideas and support, you will be able to make it work. That’s why we have the class 12 Mathematics important questions with answers pdf ready for you. All you need is to acquire the PDF with all the content and then start preparing for the exam. It really helps and it can bring in front an amazing experience every time if you're tackling it at the highest possible level.