HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Important Questions for Mathematics and Statistics

Advertisements
Subjects
Topics
Subjects
Popular subjects
Topics
Advertisements
Advertisements
Mathematics and Statistics
< prev  21 to 40 of 1300  next > 

Find the co-ordinates of the foot of the perpendicular drawn from the point (0, 2, 3) to the line `(x + 3)/(5) = (y - 1)/(2) = (z + 4)/(3)`.

Appears in 3 question papers
Chapter: [0.016] Line and Plane
Concept: Equation of a Plane

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: [0.017] Linear Programming
Concept: Graphical Method of Solving Linear Programming Problems

Find the derivative of the inverse of function y = 2x3 – 6x and calculate its value at x = −2

Appears in 3 question papers
Chapter: [0.021] Differentiation
Concept: Derivatives of Inverse Functions

If y = cos(m cos–1x), then show that `(1 - x^2) ("d"^2y)/("d"x^2) - x("d"y)/("d"x) + "m"^2y` = 0

Appears in 3 question papers
Chapter: [0.021] Differentiation
Concept: Higher Order Derivatives

The displacement of a particle at time t is given by s = 2t3 – 5t2 + 4t – 3. Find the velocity when 𝑡 = 2 sec

Appears in 3 question papers
Chapter: [0.022000000000000002] Applications of Derivatives
Concept: Derivatives as a Rate Measure

Find `intsqrtx/sqrt(a^3-x^3)dx`

Appears in 3 question papers
Chapter: [0.023] Indefinite Integration
Concept: Methods of Integration: Integration by Substitution

Choose the correct alternative:

`int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x`, then p = ?

Appears in 3 question papers
Chapter: [0.023] Indefinite Integration
Concept: Methods of Integration: Integration Using Partial Fractions

If the population of a town increases at a rate proportional to the population at that time. If the population increases from 40 thousand to 60 thousand in 40 years, what will be the population in another 20 years? `("Given" sqrt(3/2) = 1.2247)`

Appears in 3 question papers
Chapter: [0.026000000000000002] Differential Equations
Concept: Application of Differential Equations

From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.

Appears in 3 question papers
Chapter: [0.027000000000000003] Probability Distributions
Concept: Random Variables and Its Probability Distributions

If θ is the measure of acute angle between the pair of lines given by `ax^2+2hxy+by^2=0,` then prove that `tantheta=|(2sqrt(h^2-ab))/(a+b)|,a+bne0`

Appears in 3 question papers
Chapter: [0.04] Pair of Straight Lines
Concept: Acute Angle Between the Lines

Find λ, if the vectors `veca=hati+3hatj+hatk,vecb=2hati−hatj−hatk and vecc=λhatj+3hatk`  are coplanar.

Appears in 3 question papers
Chapter: [0.07] Vectors
Concept: Scalar Triple Product of Vectors

If the lines `(x-1)/2=(y+1)/3=(z-1)/4 ` and `(x-3)/1=(y-k)/2=z/1` intersect each other then find value of k

Appears in 3 question papers
Chapter: [0.09] Line
Concept: Distance of a Point from a Line

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: [0.11] Linear Programming Problems
Concept: Graphical Method of Solving Linear Programming Problems

If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of  `dy/dx `at t = `pi/4`

Appears in 3 question papers
Chapter: [0.13] Differentiation
Concept: Derivatives of Functions in Parametric Forms

If y = f(x) is a differentiable function of x such that inverse function x = f–1 (y) exists, then prove that x is a differentiable function of y and `dx/dy=1/((dy/dx)) " where " dy/dx≠0`

 

Appears in 3 question papers
Chapter: [0.13] Differentiation
Concept: The Concept of Derivative > Derivative of Inverse Function

Find `intsqrtx/sqrt(a^3-x^3)dx`

Appears in 3 question papers
Chapter: [0.15] Integration
Concept: Methods of Integration: Integration by Substitution

Evaluate :

`∫_(-pi)^pi (cos ax−sin bx)^2 dx`

Appears in 3 question papers
Chapter: [0.15] Integration
Concept: Evaluation of Definite Integrals by Substitution

Choose the correct alternative:

`int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x`, then p = ?

Appears in 3 question papers
Chapter: [0.15] Integration
Concept: Methods of Integration: Integration Using Partial Fractions

If y = P eax + Q ebx, show that

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

Appears in 3 question papers
Chapter: [0.17] Differential Equation
Concept: General and Particular Solutions of a Differential Equation

From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.

Appears in 3 question papers
Chapter: [0.19] Probability Distribution
Concept: Random Variables and Its Probability Distributions
< prev  21 to 40 of 1300  next > 
Advertisements
Share
Notifications



      Forgot password?
Use app×