Board Paper of Class 10 2023 Maths (Basic) Delhi(Set 3) - Solutions
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All questions are compulsory.
2. Question paper is divided into FIVE sections Section A, B, C, D and E.
3. In section A, question number 1 to 18 are multiple choice questions (MCQs) and question number 19 and 20 are Assertion - Reason based questions of 1 mark each.
4. In section B, question number 21 to 25 are very short answer (VSA) type questions of 2 marks each.
5 in section C, question number 26 to 31 are short answer (SA) type questions carrying 3 marks each.
6. In section D, question number 32 to 35 are long answer (LA) type questions carrying 5 marks each.
7. In section E, question number 36 to 38 are case based integrated units of assessment questions carrying 4 marks each. Internal choice is provided in 2 marks question in each case study.
8. There is no overall choice. However, an internal choice has been provided in 2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 3 questions in Section E.
9. Draw neat figures wherever required. Take π = 22/7 wherever required if not stated.
10. Use of calculators is not allowed.
- Question 1
The value of k for which the equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincident lines is :
(c) 2
(d) –2 VIEW SOLUTION
- Question 2
A circle f radius 5.2 cm has two tangents AB and CD parallel to each other. What is the distance between the two tangents?
(a) 5.2 cm
(b) 10.4 cm
(c) 20.8 cm
(d) can't find VIEW SOLUTION
- Question 3
The number of polynomials having zeroes –3 and 4 is :
(a) 1
(b) 2
(c) 3
(d) more than 3 VIEW SOLUTION
- Question 4
If the perimeter and the area of a circle are numerically equal, then the radius of the circle is :
(a) 2 units
(b) π units
(c) 4 units
(d) 2 π units VIEW SOLUTION
- Question 5
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is:
(a)
(b)
(c)
(d) VIEW SOLUTION
- Question 6
- Question 7
How many tangents can be drawn to a circle from a point on it?
(a) One
(b) Two
(c) Infinite
(d) Zero VIEW SOLUTION
- Question 8
- Question 9
The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is:
(a) 30∘
(b) 45∘
(c) 60∘
(d) 90∘ VIEW SOLUTION
- Question 10
The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is:
(a) 2
(b) 3
(c) 4
(d) 5 VIEW SOLUTION
- Question 11
If the pair of linear equations has a unique solution x = 2, y = 1, then the value of k is:
(a) −2
(b) −3
(c) 3
(d) 4 VIEW SOLUTION
- Question 12
- Question 13
The number is :
(a) an integer
(b) a rational number
(c) an irrational number
(d) a whole number VIEW SOLUTION
- Question 14
- Question 15
- Question 16
From a well -shuffled deck of 52 playing cards, a card is drawn at random. What is the probability of getting a red queen?
(a)
(b)
(c)
(d) VIEW SOLUTION
- Question 17
What is the length of arc of a circle of radius 7 cm which subtends an angle of 90° at the centre of the circle?
(a) 22 cm
(b) 11 cm
VIEW SOLUTION
- Question 18
(3 sin2 30° – 4 cos2 60°) is equal to :
VIEW SOLUTION
- Question 19
Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact.
Reason (R): The lengths of tangents drawn from an external point to a circle are equal.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) gives the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) does not give the correct explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true. VIEW SOLUTION
- Question 20
Assertion (A): If one root of the quadratic equation 4x2 − 10x + (k − 4) = 0 is reciprocal of the other, then value of k is 8.
Reason (R): Roots of the quadratic equation x2 − x + 1 = 0 are real.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) gives the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) does not give the correct explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true. VIEW SOLUTION
-
Board Paper of Class 10 2023 Maths (Standard) Delhi(Set 1) - Solutions
-
Board Paper of Class 10 2023 Maths (Standard) Delhi(Set 2) - Solutions
-
Board Paper of Class 10 2023 Maths (Basic) Delhi(Set 1) - Solutions
-
Board Paper of Class 10 2023 Maths (Basic) Delhi(Set 2) - Solutions
-
Board Paper of Class 10 Maths (Standard) Term-II 2022 Delhi(Set 1) - Solutions
-
Board Paper of Class 10 Maths (Standard) Term-II 2022 Delhi(Set 2) - Solutions
-
Board Paper of Class 10 Maths (Standard) Term-II 2022 Delhi(Set 3) - Solutions
-
Board Paper of Class 10 Maths (Basic) Term-II 2022 Delhi(Set 1) - Solutions
-
Board Paper of Class 10 Maths (Basic) Term-II 2022 Delhi(Set 2) - Solutions
-
Board Paper of Class 10 Maths (Basic) Term-II 2022 Delhi(Set 3) - Solutions
-
Board Paper of Class 10 Maths (Standard) Term-I 2021 Delhi(Set 4) - Solutions
-
Board Paper of Class 10 Maths (Basic) Term-I 2021 Delhi(Set 4) - Solutions
-
Board Paper of Class 10 2020 Maths (Standard) Delhi(Set 1) - Solutions
-
Board Paper of Class 10 2020 Maths (Standard) Delhi(Set 2) - Solutions
-
Board Paper of Class 10 2020 Maths (Standard) Delhi(Set 3) - Solutions
-
Board Paper of Class 10 2020 Maths (Basic) Delhi(Set 1) - Solutions
-
Board Paper of Class 10 2020 Maths (Basic) Delhi(Set 2) - Solutions
-
Board Paper of Class 10 2020 Maths (Basic) Delhi(Set 3) - Solutions
-
Board Paper of Class 10 2019 Maths All India(Set 2) - Solutions
-
Board Paper of Class 10 2019 Maths Delhi(Set 1) - Solutions
-
Board Paper of Class 10 2019 Maths Delhi(Set 2) - Solutions
-
Board Paper of Class 10 2019 Maths Delhi(Set 3) - Solutions
-
Board Paper of Class 10 2019 Maths Abroad(Set 2) - Solutions
-
Board Paper of Class 10 2019 Maths Abroad(Set 3) - Solutions
-
Board Paper of Class 10 2018 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2018 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2018 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2017 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2016 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2016 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2016 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2016 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2016 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2015 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2015 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2015 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2015 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2015 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2014 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2014 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2014 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2014 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2014 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2013 Maths Delhi(SET 1) - Solutions
-
Board Paper of Class 10 2013 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2013 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2012 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2012 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2012 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2011 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2011 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2011 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2011 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2010 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2010 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 2) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 3) - Solutions
-
Board Paper of Class 10 2009 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2008 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2008 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2008 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2007 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2007 Maths (SET 1) - Solutions
-
Board Paper of Class 10 2007 Maths Abroad(SET 1) - Solutions