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www. kalvikavi.com, , www.padavelal.com, , 19) Find all positive integers, when divided by 3 leaves remainder s., , x3,, , 20) If py? X pz? X D3” X Dy, , X4, , X4,X2,X3,Xq are integers, find the value of py, Pz, P3, P4 and X4, Xz, Xz, X4, 21) Find the common difference of an A.P if tyg — t4 = 32., 22) If 3+ k, 18 —k, 5k + 1 are in A.P, then find k., 23) If p and q are positive integers, then we write p = a*b? and q = a*b. If a,b are prime, , numbers, then verify th:, , at L.C.M of (p,q) x H.C.F of (p,q) = pq., , 113400 where p,,P2,P3,P4 are primes in ascending order and, , 24) Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours to complete the, , same work. How long, 25) Find the square root of, , will it take to complete if they work together?, : 16x? + 9y* — 24xy + 24x — 18y +9, , 26) Solve by factorization method 2x? — 2V6x + 3 = 0., , 27) If the difference between a number and its reciprocal i, , 28) If a, B are the roots o!, , value of a, PART - IIT, Note: @ Answer only 10 questions., (ii) Question Nm 42 is compulsory. (10:, 29) GivenA = {1, 2,3} ,, , D) =(AXB)N(CX, 30) Leta = {x € W/x <, , 31) LetA = {x € W/0<, , that AX(B NC) = (Al, , 32)Let A={xEN/1, Verify that (A U B)X, 33) Determine the general t, 34) A mother divides Rs.2(, three children. The pr, the amount received by, 35) In a winter season let u, The sum of temperat, , temperature from Wednesday to Friday is 18°C. Find the temperature, , days., 36) If (m+ 1)"" term of aj, twice the (m+n +1), , 37) Solve the system of lingar equations in three variables: x + y + z = 5, 2., , 2y + 3z= 16, 38) Find the H.C.F of x* +, 39) If 4x* — 12x39 + 37x?, 40) A girl is twice as old as|, be 375. Find their prese}, 41) The base of a triangle is, then find its base and all}, 42) If a and f are the roots, roots are @?B and B2a., , i), (ii), , Note:, , ), 2), B={xE€N/1<x< 4jandC = {3,5}. Ve', C) = (AXB)U(AXC)., , This section contains one question, Answer the given question choosing either of the alternatives., , , , , Ss lin the numl, , the equation 7x? + ax + 2 = 0 and if B-—a =, , = {2,3,5}, C = {3,4} and D = {1,3, 5}check if, , <5}, B={xEW/0 <x 2}andC = {x E, , XB)N(AXC)., , x<4}, B={xEW/0<x< 2}, =(AXC)U(BXC)., , rm of an A.P. whose 7" term is —1 and 16" term, into three parts such that the amount are in A.P., , duct of the two least amounts that the children h, , leach child., , § take the temperature of Ooty from Monday to F, , ures from Monday to Wednesday is 0°C and, , ALP. is twice the (n + 1)" term, then prove, "term., , 3x3 —x—3andx? +x2-5x+3, , i+ bx + a is a perfect square then find the values, her sister. Five years hence, the product of their, nt ages., , itude., of the equation 2x? — x — 1 = 0, then form th, , , , er., , =, the find the, , x 52 =50), (AN C)X(BN, , ify that AX (B U, , W/x < 3} Verify, , and C={xEN/x<3}, , is 17., and gives it to her, ad Rs.4623. Find, , riday to be in A.P., , the sum of the, n each of the five, , hat (3m + 1)" is, , —ytz=9,x, aand b., , tes (in years) will, , 4 cm longer than its altitude. If the area of the triangle is 48 sq.cm,, , e equation whose, , , , , , PART -IV, th two alternatives., , , , 43) Discuss the nature of solutions of the quadratic equationx? + 2x +5 = 0., , (OR), , (2x8=16), , Discuss the nature of solutions of the quadratic equation (2x — 3)(x + 2) = 0., 44) Draw the graph of y = x* + 3x — 4 and hence solve x? + 3x —4=0, , (OR), , Draw the graph of y = x? — 5x — 6 and hence solve x* — 5x —14=0, MATHS MASTERS - VIRUDHUNAGAR DISTRICT., Dear Teachers and Craatere Send Your materials our mall id: kaivikavl bloa@amall com