Please refer to CBSE Class 12 Mathematics HOTs All Chapters Set C. Download HOTS questions and answers for Class 12 Mathematics. Read CBSE Class 12 Mathematics HOTs for All Chapters below and download in pdf. High Order Thinking Skills questions come in exams for Mathematics in Class 12 and if prepared properly can help you to score more marks. You can refer to more chapter wise Class 12 Mathematics HOTS Questions with solutions and also get latest topic wise important study material as per NCERT book for Class 12 Mathematics and all other subjects for free on Studiestoday designed as per latest CBSE, NCERT and KVS syllabus and pattern for Class 12
All Chapters Class 12 Mathematics HOTS
Class 12 Mathematics students should refer to the following high order thinking skills questions with answers for All Chapters in Class 12. These HOTS questions with answers for Class 12 Mathematics will come in exams and help you to score good marks
HOTS Questions All Chapters Class 12 Mathematics with Answers
Relations and Functions
6 Marks Questions
1. Let f:[0,∞) → R be a function defined by f(x)=9x2+6x-5.Prove that f is not invertible. Modify, only the codomain of f to make it invertible and then find f1
2. If f: A→ B such that A=R-{3}, B=R-{1} and f(x)= x-2/x-3 show that f is one-one and onto. Hence find f1.
3. Let ∗ be a binary defined on RxR by (a,b)∗(c,d)=(a+c,b+d) is a binary operation or not.If a binary, is it commutative and associative too? Find its identity element if it exists, Also find the inverse of the element (2,-3) in A.
4. Let ∗ be a binary on QxQ defined by (a,b)∗(c,d) = (ac,b+ad).Determine, whether ∗ is commutative and associative .Find the identity element for ∗ and the invertible elements of QxQ.
5. Show that the relation R in the set A ={x∈ Z : 0 ≤ x ≤ 10}, given by R = {(a,b) : |a - b| is a multiple of 3} is an equivalence relation. Write all its equivalence classes.
Inverse Trigonometric Functions
4 Marks Questions
Continuity and Differentiability
1 Mark Questions
Integrals - 1 Mark Questions
Differential Equations - 1 Mark Questions
2 Marks Questions
1. Verify that y-cosy=x is a solution of the differential equation (ysiny+cosy+x)y/=y.
2. Form the diff. eqn. representing the family of curves y=asin(x+b).
3. Find the general solution of the differential equation: ylogydx– xdy = 0
4. Find the general solution of the differential equation: ex tany dx + (1- ex)sec2y dy = 0
Vectors and 3-D Geometry - 1 Mark Questions
2 Marks Questions
1. Find the distance between the planes 2x-y+2z +5=0 and 4x-2y +4z+16=0.
2. Write the vector eqn. of a line passing through the point (2,-1,3) and perpendicular to the plane 3x-5y+2z=6.
3. Find the angle between the lines: 3+x/3 = 1-y/-5 = z+2/4 and x+1/1 = y-4/1 = 5-3z/-6
4. Write the eqn. of plane 2x-3y+4z+6=0 in intercept form.
5. Find the equation of plane bisecting the line segment joining the points (3,2,5) and (5,4,-1) at right angles.
6. Write the eqn. of plane on which the foot of perpendicular from origin is (5,2,1).
7. The line r̅ = 2î - 3ĵ + pk̂+ t (î - ĵ + k̂) lies in the plane r̅. (3î + ĵ - k̂) - 4 = 0 ,then find the values of p and q.
Probability
1 or 2 mark(s) questions
1. Mother, father and son line up at random for a family picture. If E: son on one end F: father in the middle, determine P(E/F).
2. Given that the two numbers appearing on throwing two dice are different, find the probability of the event `the sum of numbers on the dice is 4`.
3. P(A)= 6/11, P(B) = 5/11 and P(A U B) = 7/11 find P(B/A)
4. An unbiased die is thrown twice.Let the event A be `odd number on the first throw` and B the event ` odd number on the second throw`. Check the independence of the events A and B.
5. If A and B are two independent events, then show that the probability of occurrence of atleast one of A and B is given by 1-P(A/)P(B/).
6. A committee of 4 students is selected at random from a group consisting 8 boys and 4 girls. Given that there is atleast one girl on the committee, calculate the probability that there are exactly 2 girls on the committee.
7. If A and B are independent events, P(A)=p and P(B)=2p and P(exactly one of A,B)= 5/9 , then find p.
| CBSE Class 12 Mathematics HOTs Relations and Functions |
| CBSE Class 12 Mathematics HOTs Inverse Trigonometric Functions |
| CBSE Class 12 Mathematics HOTs Matrices and Determinants |
| CBSE Class 12 Mathematics HOTs Matrices and Determinants Set D |
| CBSE Class 12 Mathematics HOTs Continuity And Differentiability |
| CBSE Class 12 Mathematics HOTs Application of Derivatives |
| CBSE Class 12 Mathematics HOTs Indefinite and Definite Integrals Set A |
| CBSE Class 12 Mathematics HOTs Integration |
| CBSE Class 12 Mathematics HOTs Application of Integrals |
| CBSE Class 12 Mathematics HOTs Differential Equations |
| CBSE Class 12 Mathematics HOTs Vectors |
| CBSE Class 12 Mathematics HOTs Three Dimensional Geometry |
| CBSE Class 12 Mathematics HOTs Linear Programming |
| CBSE Class 12 Mathematics HOTs Probability |
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CBSE Class 12 Mathematics All Chapters HOTS
We hope students liked the above HOTS for All Chapters designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download the High Order Thinking Skills Questions and Answers in Pdf format and practice the questions and solutions given in above Class 12 Mathematics HOTS Questions on daily basis. All latest HOTS with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 12 students to get all latest study material free of cost.
HOTS for Mathematics CBSE Class 12 All Chapters
Expert teachers of studiestoday have referred to NCERT book for Class 12 Mathematics to develop the Mathematics Class 12 HOTS. If you download HOTS with answers for the above chapter daily, you will get higher and better marks in Class 12 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily High Order Thinking Skills questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all HOTS for Class 12 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the HOTS which have been developed as per latest course books also refer to the NCERT solutions for Class 12 Mathematics designed by our teachers
All Chapters HOTS Mathematics CBSE Class 12
All HOTS given above for Class 12 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 12 can refer to the answers which have been also provided by our teachers for all HOTS of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 12 Mathematics in the HOTS so that you can solve questions relating to all topics given in each chapter. All study material for Class 12 Mathematics students have been given on studiestoday.
All Chapters CBSE Class 12 HOTS Mathematics
Regular HOTS practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of All Chapters concepts. HOTS play an important role in developing an understanding of All Chapters in CBSE Class 12. Students can download and save or print all the HOTS, printable assignments, and practice sheets of the above chapter in Class 12 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 12 Mathematics MCQ Test for the same chapter
CBSE HOTS Mathematics Class 12 All Chapters
CBSE Class 12 Mathematics best textbooks have been used for writing the problems given in the above HOTS. If you have tests coming up then you should revise all concepts relating to All Chapters and then take out print of the above HOTS and attempt all problems. We have also provided a lot of other HOTS for Class 12 Mathematics which you can use to further make yourself better in Mathematics.
You can download the CBSE HOTS for Class 12 Mathematics All Chapters for latest session from StudiesToday.com
Yes, you can click on the link above and download topic wise HOTS Questions Pdfs for All Chapters Class 12 for Mathematics
Yes, the HOTS issued by CBSE for Class 12 Mathematics All Chapters have been made available here for latest academic session
You can easily access the link above and download the Class 12 HOTS Mathematics All Chapters for each topic
There is no charge for the HOTS and their answers for All Chapters Class 12 CBSE Mathematics you can download everything free
HOTS stands for "Higher Order Thinking Skills" in All Chapters Class 12 Mathematics. It refers to questions that require critical thinking, analysis, and application of knowledge
Regular revision of HOTS given on studiestoday for Class 12 subject Mathematics All Chapters can help you to score better marks in exams
Yes, HOTS questions are important for All Chapters Class 12 Mathematics exams as it helps to assess your ability to think critically, apply concepts, and display understanding of the subject.