Board Paper of Class 10 Maths (Standard) 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 – Section A, B and C.
(iii) Section – A contains of 20 questions. Attempt any 16 questions from Q. No. 01 to 20.
(iv) Section – B also contains of 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 mark.
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 – Section A, B and C.
(iii) Section – A contains of 20 questions. Attempt any 16 questions from Q. No. 01 to 20.
(iv) Section – B also contains of 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 mark.
 Question 1
 Question 2
The graph of a polynomial P(x) cuts the xaxis at 3 points and touches it at 2 other points. The number of zeroes of P(x) is
(a) 1
(b) 2
(c) 3
(d) 5 VIEW SOLUTION
 Question 3
The values of x and y satisfying the two equations 32x + 33y = 34, 33x + 32y = 31 respectively are :
(a) –1, 2
(b) –1, 4
(c) 1, –2
(d) –1, –4 VIEW SOLUTION
 Question 4
If A(3, $\sqrt{3}$), B(0, 0) and C(3, k) are the three vertices of an equilateral triangle ABC, then the value of k is
(a) 2
(b) –3
(c) $\sqrt{3}$
(d) $\sqrt{2}$ VIEW SOLUTION
 Question 5
In figure, DE  BC, AD = 2 cm and BD = 3 cm, then ar (∆ABC) : ar (∆ADE) is equal to
(a) 4 : 25
(b) 2 : 3
(c) 9 : 4
(d) 25 : 4 VIEW SOLUTION
 Question 6
If $\mathrm{cot\theta}=\frac{1}{\sqrt{3}},$ the value of sec^{2}θ + cosec^{2}θ is
(a) 1
(b) $\frac{40}{9}$
(c) $\frac{38}{9}$
(d) $5\frac{1}{3}$ VIEW SOLUTION
 Question 7
The area of a quadrant of a circle where the circumference of circle is 176 m, is
(a) 2464 m^{2}
(b) 1232 m^{2}
(c) 616 m^{2}
(d) 308 m^{2} VIEW SOLUTION
 Question 8
For an event E, P(E) + $\mathrm{P}\left(\overline{\mathrm{E}}\right)$ = x, then the value of x^{3} – 3 is
(a) –2
(b) 2
(c) 1
(d) –1 VIEW SOLUTION
 Question 9
What is the greatest possible speed at which a girl can walk 95 m and 171 m in an exact number of minutes?
(a) 17 m/min
(b) 19 m/min
(c) 23 m/min
(d) 13 m/min VIEW SOLUTION
 Question 10
In figure, the graph of a polynomial P(x) is shown. The number of zeroes of P(x) is
(a) 1
(b) 2
(c) 3
(d) 4 VIEW SOLUTION
 Question 11
Two lines are given to be parallel, The equation of one of the lines is 3x – 2y = 5. The equation of the second line can be
(a) 9x + 8y = 7
(b) –12x – 8y = 7
(c) –12x + 8y = 7
(d) 12x + 8y = 7 VIEW SOLUTION
 Question 12
Three vertices of a parallelogram ABCD are A(1, 4), B(–2, 3) and C(5, 8). The ordinate of the fourth vertex D is
(a) 8
(b) 9
(c) 7
(d) 6 VIEW SOLUTION
 Question 13
In ∆ABC and ∆DEF, ∠F = ∠C, ∠B = ∠E and AB = $\frac{1}{2}$ DE. Then, the two triangles are
(a) Congruent, but not similar.
(b) Similar, but not congruent.
(c) Neither congruent nor similar.
(d) Congruent as well as similar. VIEW SOLUTION
 Question 14
In ∆ABC right angled at B, sinA = $\frac{7}{25}$ then the value of cosC is
(a) $\frac{7}{25}$
(b) $\frac{24}{25}$
(c) $\frac{7}{24}$
(d) $\frac{24}{7}$ VIEW SOLUTION
 Question 15
The minute hand of a clock is 84 cm long. The distance covered by the tip of minute hand from 10:10 am to 10:25 am is
(a) 44 cm
(b) 88 cm
(c) 132 cm
(d) 176 cm VIEW SOLUTION
 Question 16
The probability that the drawn card from a pack of 52 cards is neither an ace nor a spade is
(a) $\frac{9}{13}$
(b) $\frac{35}{52}$
(c) $\frac{10}{13}$
(d) $\frac{19}{26}$ VIEW SOLUTION
 Question 17
Three alarm clocks ring their alarms at regular intervals of 20 min, 25 min and 30 min respectively. If they first beep together at 12 noon, at what time will they beep again for the first time?
(a) 4 : 00 pm
(b) 4 : 30 pm
(c) 5 : 00 pm
(d) 5 : 30 pm VIEW SOLUTION
 Question 18
A quadratic polynomial, the product and sum of whose zeroes are 5 and 8 respectively is
(a) $k\left[{x}^{2}8x+5\right]$
(b) $k\left[{x}^{2}+8x+5\right]$
(c) $k\left[{x}^{2}5x+8\right]$
(d) $k\left[{x}^{2}+5x+8\right]$ VIEW SOLUTION
 Question 19
Point A (–1, y) and B (5, 7) lie on a circle with centre O (2, –3y). The value of y are
(a) 1, –7
(b) –1, 7
(c) 2, 7
(d) –2, –7 VIEW SOLUTION
 Question 20
Given that $\mathrm{sec\theta}=\sqrt{2}$, the value of $\frac{1+\mathrm{tan\theta}}{\mathrm{sin\theta}}$ is
(a) $2\sqrt{2}$
(b) $\sqrt{2}$
(c) $3\sqrt{2}$
(d) 2 VIEW SOLUTION
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