Board Paper of Class 10 Maths (Standard) TermII 2022 Delhi(Set 2)  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
A solid piece of metal in the form of a cuboid of dimensions 11 cm × 7 cm × 7 cm is melted to form 'n' number of solid spheres of radii $\frac{7}{2}\mathrm{cm}$ each. Find the value of n. VIEW SOLUTION
 Question 2
In Fig. AB is diameter of a circle centered at O. BC is tangent to the circle at B. If OP bisects the chord AD and ∠AOP = 60º, then find m ∠C.
OR
In Fig. XAY is a tangent to the circle centered at O. If ∠ABO = 40º, then find m ∠BAY and m ∠AOB.
VIEW SOLUTION
 Question 3
Find a and b so that the numbers a, 7, b, 23 are in A.P.
OR
Which term of the A.P. $\frac{11}{2},3,\frac{1}{2},...\mathrm{is}\frac{49}{2}?$ VIEW SOLUTION
 Question 4
Find the sum of first 20 terms of an A.P. whose ${\mathrm{n}}^{\mathrm{th}}$ term is given as ${a}_{n}=52n.$ VIEW SOLUTION
 Question 5
Solve the quadratic equation: x^{2} – 2ax + (a^{2} – b^{2}) = 0 for x. VIEW SOLUTION
 Question 6
If mode of the following frequency distribution is 55, then find the value of x.
Class: 0  15 15  30 30  45 45  60 60  75 75  90 Frequency: 10 7 x 15 10 12

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