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SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE. Class 10 Subject Exam Date Mathematics Prelims 25 01 21 Marks Time Total No. of Printed sides 80 2 hrs 4 Instructions: Attempt all questions from Section A and any four complete 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 answer. Omission of essential working will result in the loss of marks. SECTION A (40 marks) (Attempt all questions from this section) Question 1 A) When two polynomials x3 - px2 + x + 6 and 2x3 - x2 - (p + 3) x - 6 are divided by (x - 3) , the remainder is same . Find the value of p. [3] B) Solve the inequation and represent the solution set on the number line 8 7 2(2 ) , [3] 1 C) Madhuri deposits Rs 800 every month for 22 years in a recurring deposit scheme. The interest earned is Rs 2790. Calculate the rate of interest and maturity value of the investment. [4] Question 2 A) Solve the quadratic equation and give your answer to correct 3 significant figures . 2 5 + 5 = 0 B) Prove the identity : C) If A =[ 2 2 2 4 6 ] , B = [ 4 3 5 [3] = 2 [3] 2] and PA = B , Find: i. The order of matrix P ii. The matrix P [4]
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