• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Class 12 Maths Model Paper 2 English Medium

March 7, 2019 by Veer Leave a Comment

RBSE Class 12 Maths Model Paper 2 English Medium are part of RBSE Class 12 Maths Board Model Papers. Here we have given RBSE Class 12 Maths Sample Paper 2 English Medium.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 12
Subject Maths
Paper Set Model Paper 2
Category RBSE Model Papers

RBSE Class 12 Maths Sample Paper 2 English Medium

Time – 3 ¼ Hours
Maximum Marks: 80

General instructions to the examines

  1. Candidate must write first his/her Roll No. on the question paper compulsorily.
  2. All the questions are compulsory.
  3. Write the answer to each question in the given answer book only.
  4. For questions having more than one part, the answers to those parts are to be written together in continuity.

Section – A

Question 1.
If 3 is identity element of the binary operation on Q defined by a * b = \(\frac{a b}{3}\) find a-1 for a ∈ Q [1]

Question 2.
If sin-1 x + 3cos-1 x = π Find x. [1]

Question 3.
RBSE Class 12 Maths Model Paper 2 English Medium 1 [1]

RBSE Class 12 Maths Model Paper 2 English Medium

Question 4.
RBSE Class 12 Maths Model Paper 2 English Medium 2 [1]

Question 5.
Evaluate \(\int \frac{1-\cos 2 x}{1+\cos 2 x} d x\) [1]

Question 6.
Find the position vector of the midpoint of the vector joining the points P(2, 3, 4) and Q(4, 1, -2). [1]

Question 7.
If for a vector \(\vec{a},(\vec{x}-\vec{a}) \cdot(\vec{x}+\vec{a})=12\)  the find \(\vec|x|\). [1]

Question 8.
RBSE Class 12 Maths Model Paper 2 English Medium 3 [1]

Question 9.
Find the feasible region for the following constraint [1]
x + y ≤ 10, x + 2y ≥ 20, x ≥ 0, y ≥ 0

RBSE Class 12 Maths Model Paper 2 English Medium

Question 10.
A pair of dice is thrown 7 times. If getting a total of 7 is a success what is the probability of 6 successes? [1]

Section – B

Question 11.
RBSE Class 12 Maths Model Paper 2 English Medium 4 [2]

Question 12.
RBSE Class 12 Maths Model Paper 2 English Medium 5 [2]

Question 13.
Differentiate: logelogex². [2]

Question 14.
Evaluate \(\int \frac{1}{16-9 x^{2}} d x\) [2]

Question 15.
Find a vector perpendicular to the vectors \(4 \hat{i}-\hat{j}+3 \hat{k} \text { and }-2 \hat{i}+\hat{j}-2 \hat{k}\) whose magnitude is 9 unit. [2]

RBSE Class 12 Maths Model Paper 2 English Medium

Section – C

Question 16.
If tan-1x + tan-1y + tan-1z = \(\frac{\pi}{2}\) then prove that xy + yz + zx = 1 [3]
OR
RBSE Class 12 Maths Model Paper 2 English Medium 6

Question 17.
RBSE Class 12 Maths Model Paper 2 English Medium 7 [3]

Question 18.
Find k such that the points (k, 2 – 2k), (-k + 1, 2k) and (-4 – k, 6 – 2k) are collinear. [3]

Question 19.
Show that of all the rectangles in a circle, the square has the maximum area. [3]

Question 20.
Find the minimum value of a such that the function f(x) = x² + 9x + 5 is increasing in [1,2] [3]

Question 21.
Find \(\int \frac{d x}{\sqrt{9 x-4 x^{2}}}\) [3]
OR
Evaluate \(\mathrm{I}=\int \frac{\sin x+\cos x}{9+16 \sin 2 x} d x\)

RBSE Class 12 Maths Model Paper 2 English Medium

Question 22.
Find the area enclosed by the lines 2x + y = 4, x = 0, x = 3. [3]

Question 23.
Find the area of the ΔABC using calculus where the vertices are A(2,5), B(4, 7) and C(6, 2). [3]

Question 24.
By vector method prove that the line joining mid points of two sides of a triangle is parallel to third side. [3]
OR
Verify the formula \(\vec{a} \times(\vec{b} \times \vec{c})=(\vec{a} \cdot \vec{c}) \vec{b}-(\vec{a} \cdot \vec{b}) \vec{c}\)
where \(\vec{a}=\hat{i}+\hat{j}-2 \hat{k}, \vec{b}=2 \hat{i}-\hat{j}+\hat{k} \text { and } \vec{c}=\hat{i}+3 \hat{j}-\hat{k}\)

Question 25.
A housewife wishes to mix together two kinds of food, X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contain is of one kg of food are given below : [3]

Food X 1 2 3
Food Y 2 2 1

One Kg. of food X costs Rs. 6/- and one Kg of food Y costs Rs. 10. Find the least cost of the mixture which will produce the diet.

Section – D

Question 26.
RBSE Class 12 Maths Model Paper 2 English Medium 8 [6]

Question 27.
RBSE Class 12 Maths Model Paper 2 English Medium 9 [6]

RBSE Class 12 Maths Model Paper 2 English Medium

Question 28.
RBSE Class 12 Maths Model Paper 2 English Medium 10
OR
Solve : (ey+ 1)cosx dx + ey sin x dy = 0 [6]

Question 29.
RBSE Class 12 Maths Model Paper 2 English Medium 11 [6]

Question 30.
A problem in mathematics is given to 3 students whose chances of solving it are a What is the probability that the problem is solved. [6]
OR
Three coins are tossed together. The random variable X be the number of heads on coins. Find mean X.

RBSE Class 12 Maths Model Paper 2 English Medium

We hope the given RBSE Class 12 Maths Model Paper 2 English Medium will help you. If you have any query regarding RBSE Class 12 Maths Sample Paper 2 English Medium, drop a comment below and we will get back to you at the earliest.

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Model Papers

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Recent Posts

  • RBSE Solutions for Class 6 Maths Chapter 6 Decimal Numbers Additional Questions
  • RBSE Solutions for Class 11 Psychology in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Geography in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 Hindi
  • RBSE Solutions for Class 3 English Let’s Learn English
  • RBSE Solutions for Class 3 EVS पर्यावरण अध्ययन अपना परिवेश in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 Maths in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 in Hindi Medium & English Medium
  • RBSE Solutions for Class 4 Hindi
  • RBSE Solutions for Class 4 English Let’s Learn English
  • RBSE Solutions for Class 4 EVS पर्यावरण अध्ययन अपना परिवेश in Hindi Medium & English Medium

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2023 RBSE Solutions

 

Loading Comments...