Board Paper of Class 10 2019 Maths All India(Set 2)  Solutions
General Instructions:
(i) All questions are compulsory.
(ii) The question paper consists of 30 questions divided into four sections – A, B, C and D.
(iii) Section A comprises 6 questions of 1 mark each. Section B contains 6 questions of 2 marks each. Section C contains 10 questions of 3 marks each. Section D contains 8 questions of 4 marks each.
(iv) There is no overall choice. However, an internal choice has been provided in two questions of 1 mark, two questions of 2 marks, four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternative in all such questions.
(v) Use of calculators is not permitted.
 Question 1
Two concentric circles of radii a and b (a > b) are given. Find the length of the chord of the larger circle which touches the smaller circle. VIEW SOLUTION
 Question 2
In Figure 1, PS = 3 cm, QS = 4 cm, ∠PRQ = θ, ∠PSQ = 90°, PQ ⊥ RQ and RQ = 9 cm. Evaluate tan θ.
OR
If tan $\alpha =\frac{5}{12}$, find the value of sec α. VIEW SOLUTION
 Question 3
Write the discriminant of the quadratic equation (x + 5)^{2} = 2 (5x − 3). VIEW SOLUTION
 Question 4
Find after how many places of decimal the decimal form of the number $\frac{27}{{2}^{3}\xb7{5}^{4}\xb7{3}^{2}}$ will terminate.
OR
Express 429 as a product of its prime factors. VIEW SOLUTION
 Question 5
Find the sum of first 10 multiples of 6. VIEW SOLUTION
 Question 6
Find the positive value of m for which the distance between the points A(5, −3) and B(13, m) is 10 units. VIEW SOLUTION

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