Board Paper of Class 10 Maths (Basic) TermII 2022 Delhi(Set 3)  Solutions
General Instructions:
(i) This question paper contains 14 questions. All questions are compulsory.
(ii) This Question Paper is divided into 3 Sections – Section A, B and C.
(iii) Section – A comprises of 6 questions (Q. Nos. 1 to 6) of 2 marks each.
Internal choice has been provided in two questions.
(iv) Section – B comprises of 4 questions (Q. Nos. 7 to 10) of 3 marks each.
Internal choice has been provided in one question.
(v) Section – C comprises of 4 questions (Q. Nos. 11 to 14) of 4 marks each.
An internal choice has been provided in one question. It also contains two case study based questions.
(vi) Use of calculator is not permitted.
 Question 1
Find the common difference of an A.P. whose nth term is given by a_{n} = 6n – 5.
OR
Which term of the A.P. 3, 8, 13, 18, ... is 78 ? VIEW SOLUTION
 Question 2
In Fig. perimeter of ∆PQR is 20 cm. Find the length of tangent PA.
OR
In Fig., BC is tangent to the circle at point B of circle centered at O.
BD is a chord of the circle so that ∠BAD = 55º. Find m∠DBC.
VIEW SOLUTION
 Question 3
A metallic hollow cylindrical pipe has outer and inner radii as 6 cm and 4 cm respectively. Find the volume of the metal used in the pipe of length of 14 cm. VIEW SOLUTION
 Question 4
Find the nature of the roots of the quadratic equation : 4x^{2} – 5x – 1 = 0 VIEW SOLUTION
 Question 5
Find the sum of the first fifteen multiples of 8. VIEW SOLUTION
 Question 6
Find the mode of the following frequency distribution :
Class : 20  30 30  40 40  50 50  60 60  70 Frequency : 25 30 45 42 35

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