Board Paper of Class 10 2023 Maths (Basic) Delhi(Set 2) - 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
- Question 2
- Question 3
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 4
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 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
A quadratic polynomial whose sum and product of zeroes are 2 and −1 respectively is:
(a) x2 + 2x +1
(b) x2 − 2x − 1
(c) x2 + 2x − 1
(d) x2 − 2x + 1 VIEW SOLUTION
- Question 8
- Question 9
The length of the arc of a circle of radius 14 cm which subtends an angle of 60∘ at the centre of the circle is:
(a)
(b)
(c)
(d) VIEW SOLUTION
- Question 10
If the radius of a semi-circular protractor is 7 cm, then its perimeter is :
(a) 11 cm
(b) 14 cm
(c) 22 cm
(d) 36 cm VIEW SOLUTION
- Question 11
The angle of elevation of the top of a 15 m high tower at a point away from the base of the tower is
(a) 30°
(b) 45°
(c) 60°
(d) 90° VIEW SOLUTION
- Question 12
- Question 13
From a well-shuffled deck of 52 cards, a card is drawn at random. What is the probability of getting king of hearts?
(a)
(b)
(c)
(d) VIEW SOLUTION
- Question 14
The number is :
(a) an integer
(b) a rational number
(c) an irrational number
(d) a whole number VIEW SOLUTION
- Question 15
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 16
- Question 17
The length of the tangent from an external point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is:
(a) 7 cm
(b) 5 cm
(c) cm
(d) 25 cm VIEW SOLUTION
- Question 18
The pair of linear equations x + 2y + 5 = 0 and −3x − 6y + 1 = 0 has :
(a) a unique solution
(b) exactly two solutions
(c) infinitely many solutions
(d) no solution VIEW SOLUTION
- Question 19
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
- Question 20
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
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