Law homework help

A01-A-11(English Version)ÿPart- I1. If the co-ordinate of the orthocenter and the co-ordinate of the centroid of a triangle are (???,???) and (??,??)ÿrespectively then co-ordinate of circumcentre isA) (???,???) B) (???,???) C) (????,????) D) (????,????)2. The number of common tangent of the circles ?? + ?? ? 6? ? 2? + 9 = 0 and ?? + ?? ? 14? ? 8? + 61 =0 will beÿA) 2 B) 3 C) 1 D) 43. The focus of the parabola ? = 2?? + ? will beA) (0,0) B) (???,?) C) (??,??) D) (???,??)= ? + ? If. 4??= ? tan then ? = ? + ? andA) 2(tan? + tan ? (B) (tan ? + tan ?(C) (tan ? + 2 tan ? (D) (2 tan ? + tan ?(5. In triangle ABC, 2?? sin(??????) =A) ?? + ?? ? ?? B) ?? + ?? ? ?? C) ?? ? ?? ? ?? D) ?? ? ?? ? ??6. If arg(? > (0 then arg(?? ? (arg (? (will beA) ???B) ???? (D ? (C7. The number of irrational terms in the expansion of (5?? + 2??)?? isA) 49 B) 47 C) 48 D) 508. If log??, log?(2? ? 5) and log?(2? ???) are in AP then the value of ? isA) 2 B) 4 C) 3 D) 59. If the letters of the word ?SACHIN? is rearranged in every possible way and arranged according to the rule ofÿdictionary. Then what would be the rank of the word ?SACHIN?A) 602 B) 603 C) 600 D) 60110. If two dices are tossed once then the probability of even number in the first dice or sum of both dices is 8 isA) ???B) ???C) ????D) ??11. If ? = tan?? ??????? + tan?? ????????then ????=A) ????? B) ?????? C) ??????? D) None of the these12. If A={? :?is even natural numbers and less than 8} and B={? 😕 is a prime numbers less than 7} then theÿnumbers of relation ? ? ? isA) 2? B) 9? C) 3? D) 2? ? 113. ? |1 ? ??|?? ???=A) ???B) ??C) ???D) ??14. The greatest value of the function ?(? = (3 cos ? ? 4 sin ? + 1 isA) 3 B) 4 C) 5 D) 6

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