CBSE Class 10 Maths Chapter 2 Important Questions and Answers for 2023: According to the latest course structure of Class 10 Mathematics by CBSE board, Unit 2 Algebra has a total weightage of 20 marks. In this article we are going to cover the various kinds of MCQs, Objective type questions, short answer questions and long answer questions questions that can asked from CBSE Class 10 Maths Chapter 2 Polynomials. These important questions have been prepared by subject experts. Using these questions along with the Sample Paper for practice, students would be able to score very well.
Polynomials is the first chapter of the second unit. The other chapters in Unit 2 of CBSE Class 10 Maths are Linear Equations in Two Variables, Quadratic Equations and Arithmetic Progressions.
The chapter covers Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
CBSE Class 10 Maths Chapter 2 Important Questions and Answers for 2023
Related: CBSE Class 10 Maths Important Formulas for Last Minute Revision for Board Exam 2023
MULTIPLE CHOICE QUESTIONS
OBJECTIVE TYPE QUESTIONS (I MARK QUESTIONS)
Q1. Write the zeros of the polynomial x^{2} − x − 6
Q2. Write a polynomial whose zeros are (2+√3) and (2 − √3)
Q3. If α, β are the zeros of the polynomial, such that α+β=6 and α β=4, then write the
polynomial.
Q4. If α and 1/α are the zeros of the polynomial 4x^{2} − 2x + (k − 4) , find the value of k .
Q5. Check whether -2 is a zero of the polynomial 9x^{3} − 18x^{2} − x − 2
SHORT ANSWER TYPE QUESTIONS (2 MARKS QUESTIONS)
Q1. Find the zeroes of the polynomial 2x^{2} − 9 and verify the relationship between zeros and coeffients.
Q2. Find a quadratic polynomial the sum and product of whose zeros are 3 and -2/5
respectively.
Q3. If α and β are zeros of 3x^{2} + 5x + 13 ,then find the value of 1/α + 1/β
Q4. Check whether x = −3 is a zero of x^{3} + 11x^{2} + 23x − 35.
Q5. Find p and q if p and q are the zeros of the quadratic polynomial x^{2}+ px + q.
SHORT ANSWER TYPE QUESTIONS( 3 MARKS)
LONG ANSWER TYPE QUESTIONS(4 MARKS)
To check your preparation level for the upcoming class 10th board exam, attempt the practise papers for CBSE class 10 below:
CBSE Class 10 Practice Papers: All Subjects |
These practise papers have been prepared by subject experts, especially incorporating the modifications and updates in the latest syllabus by CBSE.
ANSWERS
MULTIPLE CHOICE QUESTIONS
1
2
3
4
5
6
OBJECTIVE TYPE QUESTIONS (I MARK QUESTIONS)
Q1. X^{2} − x − 6 = (x − 3)(x + 2) so the zeros are 3 and −2
Q2. = K(x^{2} − (α + β)x + αβ)
= K(x^{2} − (2 + √3 + 2 − √3)x + (2 + √3)(2 − √3))
=K (x^{2} − (4)x + 2^{2}− (√3)^{2})
= K(x^{2} − 4x + (4 − 3))
= K(x^{2} − 4x + 1)
Q3. P(x) = K (x^{2} − (α + β)x + αβ) = K(x^{2} − 6x + 4)
Q4.
Q5.
SHORT ANSWER TYPE QUESTIONS (2 MARKS QUESTIONS)
Q1. ± 3/√2
Q2. x^{2} − 15x − 2
Q3. − 5/13
Q4. x= -3 is not a zero
Q5. 5 p = 1; q = −2
SHORT ANSWER TYPE QUESTIONS( 3 MARKS)
1 i) y = 14/21, − 1/7
ii) x = −√3 , −7/√3
iii) x = − 2/√3, 3/ 4√3∕2
2 Product = -2
3 Correct proof
4 The quadratic polynomial cannot have equal zeros for any odd integer k > 1
5 k = − 1/9
LONG ANSWER TYPE QUESTIONS(4 MARKS)
1
2
3
4
5
Related resources:
- CBSE class 10 Maths syllabus 2023
- NCERT Book for Class 10 Maths
- NCERT Solutions for Class 10 Maths
- NCERT Exemplar Solutions for Class 10 Maths
- CBSE Class 10 Maths Sample Paper 2023 (Standard)
- CBSE Class 10 Maths Sample Paper 2023 (Basic)
- Previous Year Questions of CBSE Class 10 Maths Standard
- CBSE Class 10 Maths Basic Previous Year Question Papers PDF Download
- CBSE Class 10 Maths Important Questions and Answers
- CBSE Class 10 Maths Topper Answer Sheet
- CBSE Class 10 Maths Important Formulas for Last Minute Revision
- CBSE Class 10 Maths Preparation Tips to Score 95+ Marks in CBSE Class 10 Maths Board Exam 2023
ALSO CHECK: CBSE Class 10 Mathematics Standard Sample Paper 2023 |
ALSO CHECK: CBSE Class 10 Mathematics Basic Sample Paper 2023 |
All the best!