Comprehensive Objective Type Question Bank Mathematics – Basic(TERM-I)

Mathematics-Basic Features  Strictly Based on the Latest CBSE Term-wise Syllabus  Very Short Answer Type Questions  Multiple Choice Questions  Fill in the Blanks  True or False Statements  Matching Type Questions  Assertion-Reason Based Questions  Case Study Based MCQs



Comprehensive CBSE Objective Type Question Bank Mathematics-Basic Term–I (For Class X) (According to the Latest CBSE Examination Pattern) By Dr. V.K. Soni M.Sc. (Maths), M.Ed., Ph.D Senior Lecturer Dept. of Mathematics Lovely Professional University, Phagwara Formerly, Head Dept. of Mathematics Army School, Amritsar Cantt. Punjab   laxmi Publications (P) Ltd (An iso 9001:2015 company) bengaluru • chennai • guwahati • hyderabad • jalandhar Kochi • kolkata • lucknow • mumbai • ranchi new delhi

Comprehensive CBSE Objective Type Question Bank Mathematics-Basic–X Copyright © by Laxmi Publications Pvt., Ltd. All rights reserved including those of translation into other languages. In accordance with the Copyright (Amendment) Act, 2012, no part of this publication may be reproduced, stored in a retrieval system, translated into any other language or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise. Any such act or scanning, uploading, and or electronic sharing of any part of this book without the permission of the publisher constitutes unlawful piracy and theft of the copyright holder’s intellectual property. If you would like to use material from the book (other than for review purposes), prior written permission must be obtained from the publishers. Printed and bound in India New Edition : Goswami Associates, Delhi ISBN : 978-93-5274-538-8 Limits of Liability/Disclaimer of Warranty: The publisher and the author make no representation or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties. The advice, strategies, and activities contained herein may not be suitable for every situation. In performing activities adult supervision must be sought. Likewise, common sense and care are essential to the conduct of any and all activities, whether described in this book or otherwise. Neither the publisher nor the author shall be liable or assumes any responsibility for any injuries or damages arising here from. The fact that an organization or Website if referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers must be aware that the Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read. All trademarks, logos or any other mark such as Vibgyor, USP, Amanda, Golden Bells, Firewall Media, Mercury, Trinity, Laxmi appearing in this work are trademarks and intellectual property owned by or licensed to Laxmi Publications, its subsidiaries or affiliates. Notwithstanding this disclaimer, all other names and marks mentioned in this work are the trade names, trademarks or service marks of their respective owners. & Bengaluru 080-26 75 69 30 & Chennai 044-24 34 47 26 Branches & Guwahati 0361-254 36 69 & Hyderabad 040-27 55 53 83 & Jalandhar 0181-222 12 72 & Kochi 0484-405 13 03 & Kolkata 033-40 04 77 79 & Lucknow 0522-430 36 13 Published in India by & Ranchi 0651-224 24 64 Laxmi Publications (P) Ltd. C—00116/021/08 Printed at : Pasricha Art Press, Delhi. (An ISO 9001:2015 Company) 113, GOLDEN HOUSE, GURUDWARA ROAD, DARYAGANJ, NEW DELHI - 110002, INDIA Telephone : 91-11-4353 2500, 4353 2501 www.laxmipublications.com [email protected]

Contents 1. Real Numbers ................................................................................. 1–13 2. Polynomials ................................................................................... 14–28 3. Pair of Linear Equations in Two Variables ................................. 29–41 4. Coordinate Geometry .................................................................... 42–52 5. Triangles ....................................................................................... 53–66 6. Introduction to Trigonometry ....................................................... 67–76 7. Areas Related to Circles ............................................................... 77–91 8. Probability ................................................................................... 92–106





































































32 Mathematics—X 13. If the pair of linear equations 6x – 2y – 3 = 0, kx – y – 2 = 0 has a unique solution, the value of k is (a) k = 3 (b) k  3 (c) k = 4 (d) k  4 14. If the lines given by 3x + 2ky + 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is (a) 5 2 15 3 4 (b) 5 (c) 4 (d) 2 15. The solution to the pair of linear equations 29x + 37y – 103 = 0, 37x + 29y – 95 = 0, is (a) x = 1, 6 = 2 (b) x = 2, y = 1 (c) x = 2, y = 3 (d) x = 3, y = 2 16. A pair of linear equations which has a unique solution x = 2, y = – 3 is (a) x + y = –1, 2x – 3y = – 5 (b) 2x + 5y = –11, 4x + 10y = –22 (c) 2x – y = 1, 3x + 2y = 0 (d) x – 4y – 14 = 0, 5x – y – 13 = 0 17. The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is (a) 3 (b) – 3 (c) – 12 (d) no value 18. One equation of a pair of dependent linear equations is – 5x + 7y = 12, the second equation can be: (a) 10x + 14y + 4 = 0 (b) –10x – 14y + 4 = 0 (c) – 10x + 14y + 4 = 0 (d) 10x – 14y = – 4 19. The pair of linear equations 2x – 3y = 1 and 3x – 2y = 4 has : (a) One solution (b) Two solutions (c) No solution (d) Many solutions 20. If x = a, y = b is the solution of the pair of equations x – y = 2 and x + y = 4, then the respective values of a and b are (a) 3, 5 (b) 5, 3 (c) 3, 1 (d) – 1, – 3 21. Two lines are given to be parallel. The equation of one of the lines is 4x + 3y = 14. The equation of the second line can be (a) 3x + 4y = 14 (b) 8x + 6y = 28 (c) 12x + 9y = 42 (d) –12x = 9y 22. The pair of linear equations x = 4 and y = 3 graphically represents lines which are (a) parallel (b) intersecting at (3, 4) (c) coincident (d) intersecting at (4, 3) 23. If x = a, y = b is the solution to the equation x – y = 2 and x + y = 4, then the values of a and b are respectively (a) 3 and 5 (b) 5 and 3 (c) 3 and 1 (d) –1 and –3 24. Aruna has only ` 1 and ` 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ` 75, then the number of ` 1 and ` 2 coins are, respectively (a) 35 and 15 (b) 35 and 20 (c) 15 and 35 (d) 25 and 25 25. The pair of equations 6x – 3y + 10 = 0, 2x – y + 9 = 0 have (a) one solution (b) two solutions (c) many solutions (d) no solution 26. The value of k, for which the pair of linear equations 4x + 6y – 1 = 0 and 2x – ky = 7 represents parallel lines is (a) 2 (b) –3 (c) 4 (d) –2