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rr<.Ht\tlll sT.G REGORTOS H tGH SCHOJIL PRELI M I NARY EXAM I NATIO N.DECEM BEt( STD X MATHEMATICS 2913 ryMB[s Note: The first fifteen minutes ar:e,for readinF onlv.No writine work to be dofie during this time. Atternpt all questions from section A and anv four ouestions from section B SECTION A Questionl- r r- ^1 (a) lf A =L? -'ll and B =F ;.| ;find matrixX,suchthatA+2X=38 (3) (b) A man invests{10,000 foitwo years at a certain rate of interest compounded annually. At the end of one year this sum amounts to {t1,200.Calculate .' (i)the rate of interest per annum (ii)the interest for the second year. (3) (iiilthe arnount at the end of the Second year. (c)Using remainder theorem, find the factors of the following polynornial: (4) x3 -61+jx+L0 II QUESTION 2 (a)lf a:b=c:d then show that ( a + c):(b + d)= (b)Solve the following quadratic equation ' Fr' fiao7 ' forxand giye your answer L ! {3) correct to two decimal places i (3) 5{x+2}=l (clln the given figure AB is the diameter of the circle with centre O .Tangents at C and B meet at D.lf lPBc=sO', find the value of a,b,c and d fi- V, (4) \ D I li ,. 33
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