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SRI SRI RAVISHANKAR VIDYA MANDIR, MULUND FIRST PRELIMINARY EXAMINATION (2020-2021) SUBJECT: MATHEMATICS STD: X TIME: hour DATE: 18/01/2021 MARKS:80 Answers to each question must be written on a separate sheet of paper and the image of the same is to be uploaded. You will not be allowed to write during the first 15 minutes. This time is to be spent reading the Question paper. The time given at the head of the paper is the time allotted for writing the answers. Attempt all the questions from Section A and any four questions from Section B. All working including rough work must be clearly shown and must be done on the same sheet as the rest of the answers. Omission of essential working will result in loss of marks. The intended marks for questions or part of questions are given in brackets [ ]. THIS QUESTION PAPER CONSISTS OF 6 PRINTED PAGES. SECTION A (40 Marks) Attempt all questions from this section. Question 1 A]. Find the value of p , for which the following equation has real and equal roots: [3] ( + 6) 2 + ( + 3) + 1 = 0. B]. Solve the inequation, write the solution set and represent the solution on a real number line: [3] +1 < 15 7 3( 7), 3 C]. Let = [ 2 3 8 15 ] = [ ]. Find the matrix P if PQ= R. 5 6 19 15 [4] Question 2 A]. The marked price of a computer is Rs. 30,000 and the rate of GST is 18%. A shopkeeper buys it at a discount and sells it to a customer at the marked price. If the shopkeeper pays Rs 1080 as GST to the Government, calculate the following: i) The price paid by the shopkeeper inclusive of tax. ii)The price paid by the customer. Page 1 of 6 [3]
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