Board Paper of Class 10 Maths (Basic) TermI 2021 Delhi(Set 4)  Solutions
General Instructions :
Read the following instructions very carefully and strictly follow them:
(i) This question paper contains 50 questions out of which 40 questions are to be attempted. All questions carry equal marks.
(ii) The question paper consists of three Sections : A, B and C.
(iii) Section A has 20 questions. Attempt any 16 questions from Q. No. 1 to 20.
(iv) Section B has 20 questions. Attempt any 16 questions from Q. No. 21 to 40.
(v) Section C contains of two Case Studies containing 5 questions in each case. Attempt any 4 questions from Q. No. 41 to 45 and another 4 from Q. No. 46 to 50.
(vi) There is only one correct option for every multiple choice question (MCQ). Marks will not be awarded for answering more than one option.
(vii) There is no negative marking.
Read the following instructions very carefully and strictly follow them:
(i) This question paper contains 50 questions out of which 40 questions are to be attempted. All questions carry equal marks.
(ii) The question paper consists of three Sections : A, B and C.
(iii) Section A has 20 questions. Attempt any 16 questions from Q. No. 1 to 20.
(iv) Section B has 20 questions. Attempt any 16 questions from Q. No. 21 to 40.
(v) Section C contains of two Case Studies containing 5 questions in each case. Attempt any 4 questions from Q. No. 41 to 45 and another 4 from Q. No. 46 to 50.
(vi) There is only one correct option for every multiple choice question (MCQ). Marks will not be awarded for answering more than one option.
(vii) There is no negative marking.
 Question 1
 Question 2
In $\u2206$ABC, DE  BC, AD = 4 cm, DB = 6 cm and AE = 5 cm. The length of EC is
(a) 7 cm
(b) 6.5 cm
(c) 7.5 cm
(d) 8 cm VIEW SOLUTION
 Question 3
The value of k, for which the pair of linear equations x + y – 4 = 0, 2x + ky – 3 = 0 have no solution, is
(a) 0
(b) 2
(c) 6
(d) 8 VIEW SOLUTION
 Question 4
The value of (tan^{2} 45° – cos^{2} 60°) is
(a) $\frac{1}{2}$
(b) $\frac{1}{4}$
(c) $\frac{3}{2}$
(d) $\frac{3}{4}$ VIEW SOLUTION
 Question 5
A point (x, 1) is equidistant from (0, 0) and (2, 0). The value of x is
(a) 1
(b) 0
(c) 2
(d) $\frac{1}{2}$ VIEW SOLUTION
 Question 6
Two coins are tossed together. The probability of getting exactly one head is
(a) $\frac{1}{4}$
(b) $\frac{1}{2}$
(c) $\frac{3}{4}$
(d) 1 VIEW SOLUTION
 Question 7
A circular arc of length 22 cm subtends an angle $\mathrm{\theta}$ at the centre of the circle of radius 21 cm. The value of 8 is
(a) 90°
(b) 50°
(c) 60°
(d) 30° VIEW SOLUTION
 Question 8
A quadratic polynomial having sum and product of its zeroes as 5 and 0 respectively, is
(a) ${x}^{2}+5x$
(b) $2x\left(x5\right)$
(c) $5{x}^{2}1$
(d) ${x}^{2}5x+5$ VIEW SOLUTION
 Question 9
 Question 10
It is given that ∆DEF ~ ∆PQR. EF : QR = 3 : 2, then value of ar(DEF) : ar(PQR) is
(a) 4 : 9
(b) 4 : 3
(c) 9 : 2
(d) 9 : 4 VIEW SOLUTION
 Question 11
Zeroes of a quadratic polynomial x^{2} – 5x + 6 are
(a) −5, 1
(b) 5, 1
(c) 2, 3
(d) −2, −3 VIEW SOLUTION
 Question 12
$\frac{57}{300}$ is a
(a) nonterminating and nonrepeating decimal expansion.
(b) terminating decimal expansion after 2 places of decimals.
(c) terminating decimal expansion after 3 places of decimals.
(d) nonterminating but repeated decimal expansion. VIEW SOLUTION
 Question 13
Perimeter of a rectangle whose length (l) is 4 cm more than twice its breadth (b) is 14 cm. The pair of linear equations representing the above information is
(a)
$\begin{array}{c}l+4=2b\\ 2(l+b)=14\end{array}\phantom{\rule{0ex}{0ex}}$
(b)
$\begin{array}{c}lb=4\\ 2(l+b)=14\end{array}\phantom{\rule{0ex}{0ex}}$
(c)
$\begin{array}{c}l=2b+4\\ l+b=14\end{array}\phantom{\rule{0ex}{0ex}}$
(d)
$\begin{array}{c}l=2b+4\\ 2(l+b)=14\end{array}\phantom{\rule{0ex}{0ex}}$ VIEW SOLUTION
 Question 14
$5.\overline{213}$ can also be written as
(a) 5.213213213...
(b) 5.2131313...
(c) 5.213
(d) $\frac{5213}{1000}$
VIEW SOLUTION
 Question 15
The ratio in which the point (4, 0) divides the line segment joining the points (4, 6) and (4, –8) is
(a) 1 : 2
(b) 3 : 4
(c) 4 : 3
(d) 1 : 1 VIEW SOLUTION
 Question 16
Which of the following is not defined?
(a) sec 0°
(b) cosec 90°
(c) tan 90°
(d) cot 90° VIEW SOLUTION
 Question 17
In the given figure, a circle is touching a semicircle at C and its diameter AB at O. If AB = 28 cm, what is the radius of the inner circle?
(a) 14 cm
(b) 28 cm
(c) 7 cm
(d) $\frac{7}{2}$ cm VIEW SOLUTION
 Question 18
The vertices of a triangle OAB are O(0, 0), A(4, 0) and B(0, 6). The median AD is drawn on OB. The length AD is
(a) $\sqrt{52}$ units
(b) 5 units
(c) 25 units
(d) 10 units VIEW SOLUTION
 Question 19
In a rightangled triangle PQR, ∠Q = 90°. If ∠P = 45°, then value of tanP – cos^{2}R is
(a) 0
(b) 1
(c) $\frac{1}{2}$
(d) $\frac{3}{2}$ VIEW SOLUTION
 Question 20
If tanθ = $\frac{2}{3}$, then the value of secθ is
(a) $\frac{\sqrt{13}}{3}$
(b) $\frac{\sqrt{5}}{3}$
(c) $\sqrt{\frac{13}{3}}$
(d) $\frac{3}{\sqrt{13}}$ VIEW SOLUTION
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