Board Paper of Class 10 2020 Maths (Basic) Delhi(Set 3)  Solutions
General Instructions :
(i) This question paper comprises four sections – A, B, C and D. This question paper carries 40 questions. All questions are compulsory:
(ii) Section A : Q. No. 1 to 20 comprises of 20 questions of one mark each.
(iii) Section B : Q. No. 21 to 26 comprises of 6 questions of two marks each.
(iv) Section C: Q. No. 27 to 34 comprises of 8 questions of three marks each.
(v) Section D : Q. No. 35 to 40 comprises of 6 questions of four marks each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 2 questions of one mark each, 2 questions of two marks each, 3 questions of three marks each and 3 questions of four marks each. You have to attempt only one of the choices in such questions.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
(i) This question paper comprises four sections – A, B, C and D. This question paper carries 40 questions. All questions are compulsory:
(ii) Section A : Q. No. 1 to 20 comprises of 20 questions of one mark each.
(iii) Section B : Q. No. 21 to 26 comprises of 6 questions of two marks each.
(iv) Section C: Q. No. 27 to 34 comprises of 8 questions of three marks each.
(v) Section D : Q. No. 35 to 40 comprises of 6 questions of four marks each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 2 questions of one mark each, 2 questions of two marks each, 3 questions of three marks each and 3 questions of four marks each. You have to attempt only one of the choices in such questions.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
 Question 1
The median and mode respectively of a frequency distribution are 26 and 29. Then its mean is
(a) 27.5
(b) 24.5
(c) 28.4
(d) 25.8 VIEW SOLUTION
 Question 2
If the distance between the points A(4, p) and B(1, 0) is 5 units, then the value(s) of p is (are)
(a) 4 only
(b) –4 only
(c) +4
(d) 0 VIEW SOLUTION
 Question 3
The graph of a polynomial is shown in figure, then the number of its zeroes is
(a) 3
(b) 1
(c) 2
(d) 4 VIEW SOLUTION
 Question 4
$2.\overline{)35}$ is
(a) an integer
(b) a rational number
(c) an irrational number
(d) a natural number VIEW SOLUTION
 Question 5
 Question 6
The probability that a number selected at random from the numbers 1, 2, 3, ...., 15 is a multiple of 4 is
(a) $\frac{4}{15}$
(b) $\frac{2}{15}$
(c) $\frac{1}{15}$
(d) $\frac{1}{5}$ VIEW SOLUTION
 Question 7
 Question 8
QP is a tangent to a circle with centre O at a point P on the circle. If ∆OPQ is isosceles, then ∠OQP equals.
(a) 30°
(b) 45°
(c) 60°
(d) 90° VIEW SOLUTION
 Question 9
If α and β are the zeroes of the polynomial x^{2} + 2x + 1, then $\frac{1}{\alpha}+\frac{1}{\beta}$ is equal to
(a) –2
(b) 2
(C) 0
(d) 1 VIEW SOLUTION
 Question 10
The coordinates of a point A on yaxis, at a distance of 4 units from xaxis and below it, are
(a) (4, 0)
(b) (0, 4)
(c) (–4,0)
(d) (0, –4) VIEW SOLUTION
 Question 11
Fill in the blank.
If the equations kx – 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is ___________.OR
Fill in the blank.
If quadratic equation 3x^{2} – 4x + k = 0 has equal roots, then the value of k is _____________. VIEW SOLUTION
 Question 12
Fill in the blank.
If tan (A + B) = $\sqrt{3}$ and tan (A – B) = $\frac{1}{\sqrt{3}}$, A > B, then the value of A is ___________. VIEW SOLUTION
 Question 13
Fill in the blank.
The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is _____________. VIEW SOLUTION
 Question 14
Fill in the blank.
If the point C(k, 4) divides the line segment joining two points A(2, 6) and B(5, 1) in ratio 2 : 3, the value of k is ____________.OR
Fill in the blank.
If points A(–3, 12), B(7, 6) and C(x, 9) are collinear, then the value of x is ___________. VIEW SOLUTION
 Question 15
If $\mathrm{cot}\theta =\frac{12}{5},$ then the value of sin θ is ___________. VIEW SOLUTION
 Question 16
The n^{th} term of an AP is (7 – 4n), then what is its common difference? VIEW SOLUTION
 Question 17
If 5tanθ = 3, then what is the value of $\left(\frac{5\mathrm{sin}\mathrm{\theta}3\mathrm{cos}\mathrm{\theta}}{4\mathrm{sin}\mathrm{\theta}+3\mathrm{cos}\mathrm{\theta}}\right)$? VIEW SOLUTION
 Question 18
The areas of two circles are in the ratio 9 : 4, then what is the ratio of their circumferences? VIEW SOLUTION
 Question 19
If a pair of dice is thrown once, then what is the probability of getting a sum of 8? VIEW SOLUTION
 Question 20
The areas of two similar triangles ABC and PQR are 25 cm^{2} and 49 cm^{2} respectively. If QR = 9.8 cm, find BC. VIEW SOLUTION
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