FW. Ellis College of Fort St. George was founded by As considered the father of Tamil linguistic The ar THIRD REVISION EXAMINATION 2020 X STANDARD Marks:100 Time: 3.00 Hours Mathematics there ie any tach naiyar yhe 3 (1) (2) oUCpf shefe aepaBiek mr ltuehcse e s, ooqntir aunBiefnsolte aicnon fk n outIphr e nk appHteaarr o tlfws l Sorr iutfe paiearrnvnied ssos pr eoinf mcpmil oreidnr tiidnaterg alw y diagrams hoo Note: This question Section- A of the (H) Choose the most suitable answer trom the gven four alternatives $4.1-14$ $anA-1n$ 12. Note: 0 Answer all the 14 questions. iTRTMn h a e . the option code with the corresponding answer. 1) $1$ $n\left(A\right)=3$ $and$ $\left(8\right)=3.1nc$ the number of relations from A to B is uages a) (2) b) 2-1 c) (2) d) (2) 2) $118a$ function from 2 to 3 then which of the following is/ are identity function? $11\right)$ $1\left(x\right)=1x1$ in) $\right)$ $f\left(x\right)=3x$ $\right)\times 9$ UE ia) ) $f\left(x\right)=\sqrt{} $ $a$ $an^{\dfrac {x^{2}} {d}}$ iv $f\left(x\right)=4\dfrac {x^{3}} {d}w$ $0\right)$ $an$ $α\right)$ $n$ $m$ c) ii and iv and iv 3) The g.c.d of 48 and 49 is $3\right)$ $3\times 24\times 72$ b) 3 c) 1 d) 3x72 4) $1$ $4^{1+1}+$ $∪P10$ $x$ terms is 4. d) 4 $a\right)$ $b\right)12$ $2^{\dfrac {2} {x+}}\bar{3} =0and4y=3y$ $nen$ $1$ $c\right)32$ $\left(x.y\right)$ $s$ $c\right)$ $\left(32$ $-1\right)$ 5) $b\right)$ $\left(-32,0\right)$ d) (3/2, 0) 6) $a\right)$ $\left(-32$ $1\right)$ $1$ $A=\left(cosθ$ $-sinQ$ -sin 0 cos e then A is b) a) 0. d) -1 -1 0 c) 0-1] O $A$ then PQR R is b) ABC C a), AAAAC B C B d) ABB C A Helo

1. Which one of the following is the coefficient $ofxin5x+3y2$ (a) 8 2. Which oof ny e ? of (thbe ) 5x (c) 3y (d) 5 times following is the sum of three times of x and two $\left(a\right)y+3x$ (d) 2x+3y 3. Which (a) 7 4. Which of the terms? $3$ $→$ $-k$ (a) $2x,-7xy$ $5$ $2$ $0^{aingindica1cs}y^{a9^{aix^{0\left(51}}-7x}$ $2$ $\left($ $c$ $\right)$ $3$ $x$ $,$ $7$ $x$ $x^{n}$ $\left(0\right)^{-3xy,}$ $nc0$ $m^{2-7,}$ $0n$ (ebx) pression $\bar{\times } ,8$ $e$ $z$ $3$ 5. $1fm=-6in$ similar the expression ? (a) 36 13 $\left(c\right)-29$ 6. If you Subtract b(- b) a from a-b, then what is dif(fder) e(2nd9 c) e a ? (a) a +b (b) 0 (c) 2a – 2b 7. What is the sum of three expressions $x^{2}+3,x^{2}$ – 2, $-2x^{2}+17$ (a) 1 (b) 2 (c) x-1 (d) 1-x? 8. In the expression 5x4 (a) (c) TThhe e power of x is 4 (b) two terms are there $co-e$ $1cient$ of x4 is 5. Which one is correct? (a) i and ii (b) i and iii (c) ii and iii(d) i, ii and iii 9. In x y $yanables-+$ ((iii) ) TTahhne e d sum is x+y product is xy (iii)The summation of square is x²-y? Which one is correct? (a) i and ii (b) i and iii (c) ii and iii (d) i, ii and iii x²-y?, y²-z? and z²-x² are three algebric expre $111/182$ Mathematics 107 Answer questions 10-11 using the information. 10. $1fx=2an$ $\left(a\right)-13$ y = -3, what is the value of the first expression? (b) -5 (c) 5 (d) 13 11. What is the sum of the three expressions? (a) 0 (b) 2x (c) $2x^{2}+2y^{2}+2z^{3}$ $\left(d\right)-2x^{2}$ $-2y^{2}$ $-2z^{2}$ 12. (i) 12 x is the sum of x and the power of 12 (ii) The index of a is 3 in expression 4a'. (iii) The coefficient of x in the expression $3x+4is3$ Which one is correct on the basis of above information ? (a) i & ii (b) i & iii (c) ii & iii $\left(d\right)i,iiQ$ iii 13. (i) Two terms 5ax and 7x²a are similar. -

$1\left(x\right)=slnx$ 1. $sin2x$ CB. . $f\left(x\right)=tanx$ 2. $cosx$ $f\left(x\right)=sln^{2}x$ 3. $sec^{2}x$ $codes$ B $\left(a\right)$ A 2 1 C $\left(b\right)$ A 2 1 B 31 C . $\left(c\right)$ 3 (d) 3 2 $87°$ Which of the following $is/a\pi e$ true? I. The derivative of $x^{2}-2atx=10is18$ II. The derivative $of99xat$ $x=100is99$ III. The derivative of x $atx=1is1$ $\left(a\right)1$ Il and IIl are true (b) I and II are true (c) II and III are true (d) I and III are true $88°$ Match the functions given in Column I with thei corresponding derivatives given in Column Il and choose the correct option from the codes given below.