• 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 1 English Medium

March 7, 2019 by Veer Leave a Comment

RBSE Class 12 Maths Model Paper 1 English Medium are part of RBSE Class 12 Maths Board Model Papers. Here we have given RBSE Class 12 Maths Sample Paper 1 English Medium.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 12
Subject Maths
Paper Set Model Paper 1
Category RBSE Model Papers

RBSE Class 12 Maths Sample Paper 1 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.
  5. If there is any error/difference/contradiction in Hindi & English versions of the question paper, the question of Hindi version should be treated valid.
  6. Section Q.No Marks for question
    A 1-10 1
    B 11-15 2
    C 16-25 3
    D 26-30 6
  7. There are internal choices in Q. No. 16. 21. 24. 28 and 30. You have to attempt only one of the alternatives in these questions.
  8. Draw the graph of Q.No. 25 on the graph paper.

Section – A

Question 1.
Write composition table for addition S = {(0, 1, 2); +3}. [1]

Question 2.
If \(\cot ^{-1} x+\tan ^{-1}\left(\frac{1}{3}\right)=\frac{\pi}{2}\) then find the value of x. [1]

RBSE Class 12 Maths Model Paper 1 English Medium

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

Question 4.
If points (x, -2), (5, 2), (8, 8) are collinear, then find the value of x. [1]

Question 5.
Find \(\int \log x d x\) [1]

Question 6.
Find the unit vector along the sum of vectors \(a=2 \hat{i}+2 \hat{j}-5 \hat{k}, b=2 \hat{i}+\hat{j}+3 \hat{k}\) [1]

Question 7.
Find the value of \(\left[ \begin{array}{lll}{2 \hat{i}} & {\hat{j}} & {\hat{k}}\end{array}\right]+\left[ \begin{array}{lll}{\hat{i}} & {\hat{j}} & {\hat{k}}\end{array}\right]+\left[ \begin{array}{lll}{\hat{k}} & {\hat{j}} & {2 \hat{i}}\end{array}\right]\) [1]

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

Question 9.
Show the region of feasible solution under the following constraints x + 2y ≤ 8, .x ≥ 0, y ≥ 0 in answer book. [1]

RBSE Class 12 Maths Model Paper 1 English Medium

Question 10.
RBSE Class 12 Maths Model Paper 1 English Medium 3 [1]

Section – B

Question 11.
If function f: R → R, f (x) = 2x + 1 then show that \(\left(f^{-1}\right)^{-1}=f\) [2]

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

Question 13.
Examine Continuity at x = 1 of function f(x) = |x – 1| [2]

Question 14.
Find \(\int \frac{1}{1+\sin x} d x\) [2]

Question 15.
If a vector makes angles α, β, and γ respectively with axes OX, OY, OZ, then prove that sin²α + sin²β + sin²γ = 2. [2]

RBSE Class 12 Maths Model Paper 1 English Medium

Section – C

Question 16.
RBSE Class 12 Maths Model Paper 1 English Medium 5 [3]
OR
RBSE Class 12 Maths Model Paper 1 English Medium 6

Question 17.
RBSE Class 12 Maths Model Paper 1 English Medium 7 [3]

Question 18.
RBSE Class 12 Maths Model Paper 1 English Medium 8 [3]

Question 19.
Find equation of normal to the curve 2x² – y² = 14 which is parallel to line x + 3y = 6. [3]

Question 20.
Find two positive numbers x and y, sum of them is 60 and xy³ is maximum. [3]

Question 21.
Find \(\int \sqrt{x^{2}+a^{2}} d x\)  [3]
OR
Find \(\int \frac{1}{1-6 x-9 x^{2}} d x\)

RBSE Class 12 Maths Model Paper 1 English Medium

Question 22.
Find area of region bounded by curve \(y=2 \sqrt{1-x^{2}}\) and above x-axis. [3]

Question 23.
Find area of region bounded by curve [(x,y)/x² ≤ y ≤ x]  [3]

Question 24.
If \(\overline{a}=3 \hat{i}+\hat{j}+2 \hat{k} \text { and } \overline{b}=2 \hat{i}-2 \hat{j}+2 \hat{k}\) then find unit vector \(\hat{n} \) perpendicular both \(\overline{a} \text { and } \overline{b}\) [3]
OR
RBSE Class 12 Maths Model Paper 1 English Medium 9

Question 25.
By graphical method solve the following linear programming problem for [3]
Maximum z = 2x + 3y
Constraints 4x + 6y ≤ 60,  2x + y ≤ 20 and x ≥ 0, y ≥ 0.

Section-D

Question 26.
RBSE Class 12 Maths Model Paper 1 English Medium 10 [6]

Question 27.
Show that \(\int_{0}^{\frac{\pi}{2}} \log \sin x d x=\frac{\pi}{2} \log \frac{1}{2}\) [6]

Question 28.
RBSE Class 12 Maths Model Paper 1 English Medium 11
OR
Find the perticular solution of the differential equation \(\frac{d y}{d x}\) + 2xy = xsin x² If x = 0 and y = 1. [6]

Question 29.
Find the angle between the two lines. These direction-cosines are given by the following relations. l- 5m + 3n = 0 and 7l² + 5m² – 3n² = 0 [6]

RBSE Class 12 Maths Model Paper 1 English Medium

Question 30.
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six. [6]
OR
Two coins are tossed at the same time. Find the variance of “number of heads”.

We hope the given RBSE Class 12 Maths Model Paper 1 English Medium will help you. If you have any query regarding RBSE Class 12 Maths Sample Paper 1 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

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Class 9 Science Important Questions in Hindi & English Medium
  • RBSE Class 10 Maths Important Questions in Hindi & English Medium
  • RBSE Class 10 Science Important Questions in Hindi & English Medium
  • RBSE Class 9 Social Science Important Questions in Hindi & English Medium
  • RBSE Class 9 Social Science Notes in Hindi Medium & English Medium Pdf Download 2021-2022
  • RBSE Class 10 Social Science Important Questions in Hindi & English Medium
  • RBSE Solutions for Class 10 Maths Chapter 11 Constructions Ex 11.2
  • RBSE Solutions for Class 10 Maths Chapter 11 Constructions Ex 11.1
  • RBSE Class 10 Maths Important Questions Chapter 10 Circles
  • RBSE Solutions for Class 10 Maths Chapter 10 Circles Ex 10.2
  • RBSE Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1

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
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...