7507math Mock III | Trigonometric Functions | Geometric Shapes

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  http://www.icseguess.com/   ww   w.icseguess.comOther Educational Portalswww.cbseguess.com | www.ignouguess.com | www.aipmtguess.com | www.aieee.com | www.niosguess.com | www.iitguess.com 5) and (2, –4) respectively.( i ) Find the co-ordinates of the fourth vertex.( ii ) Slope of line  AB .( iii ) Midpoint of  AB .( b ) he su! of t o nu!#ers is $ and the su! of their s%uares is 4&. a'in one nu!#er as  x . fro! an e%uation in  x and solve it to find the nu!#ers.  ACBE  http://www.icseguess.com/ www.icseguess.comOther Educational Portalswww.cbseguess.com | www.ignouguess.com | www.aipmtguess.com | www.aieee.com | www.niosguess.com | www.iitguess.com Saumen   du mukherjee /math /sample paper SECTION — A Note: tte!pt all the %uestions fro! Section  and any four %uestions fro! Section *.he intended !ar's for %uestions or parts of %uestions are iven in #rac'et + .  Attempt all Questions from this Section [Marks 40]1. ( a ) he difference #et een the co!pound interest paya#le half-yearly and si!ple intereston the sa!e su! of !oney lent out at & for a year is /s. &5. Find the su! of !oneylent out 0( b ) Find the re!ainder hen 4  x 1 4  x  – 2  x 1 &3 is divided #y 2  x  – . 2 ( c ) ithout usin triono!etrically ta#le, 6valuate tan5cot 22cos 45cot tan 2 °°−− °°° ( d  ) he !id-point of the line se!ent 7oinin (2  x , 4) and (–2,   y ) is (&, 2  x 1 &), Find thevalues of  x and  y +, , 2, 2 2. ( a ) he !ean of &, , 5, , 4 and 4 is !. he nu!#ers , 2, 4, 2, ,  and  p have !ean! – & and !edian q . Find  p and q .( b ) he area enclosed #y the circu!ferences of t o concentric circles is 43.5 c! . 8f the 2 circu!ference of the inner circle is 99 c!. :alculate the radius of the outer circle.( c ) Mr. ;aul invests /s. &4, $5 in /s. & shares of a co!pany payin &4 dividend. 8f his annual inco!e fro! these shares is /s. &3&, find the !ar'et value of eachshare.+, 4,  3. ( a )  ABCD is a parallelora! hose vertices  A ,  B and C have the co-ordinates (–, 2), (&,  http://www.icseguess.com/   www.icseguess.comOther Educational Portalswww.cbseguess.com | www.ignouguess.com | www.aipmtguess.com | www.aieee.com | www.niosguess.com | www.iitguess.com  http://www.icseguess.com/ www.   icseguess.comOther Educational Portalswww.cbseguess.com | www.ignouguess.com | www.aipmtguess.com | www.aieee.com | www.niosguess.com | www.iitguess.com 12 8:S6 < – M=6M8:S ( c )hat should #e the !ini!u! !onthly deposit in a /.>. account for &2 years to et/s. 9, 39 on !aturity after &2 years at an interest rate of $.5 S.8. p.a. 0+, , 4 4. ( a ) :onstruct a %uadrilateral  ABCD such that  AB ? 9.2 c!,  BC ? 4 c!,  AD ? 2 c!,  BD ?9. c! and the point C is at e%uidistant fro!  B and  D .( b ) 8n the iven fiure, chord  AE and  BC intersect each other at point  D . 8f  CDE  ∠ ? $@,  AB ? 5 c!,  BD ? 4 c! and CD ? $ c!, find  AE  .( c ) 8n the iven fiure, QPSRPT  ∠ ∠ and.  PRQPTS  ∠ ∠ ( i ) ;rove thatA.  PQRPST  ∆∆ ( ii ) 8f  PT B ST ?  B 4, Find QR B  PR .+, 4,  QPSRT SECTION-B +  Anser any four questions from this section .+4 Mar's 5. ( a ) Solve the ine%uation B – 2&&2,  xxR  ≤+_∑ ( b ) Fro! the piece of card#oard in the shape of rapeCiu! *:> and  ABDC  and  BCD ∠ ? $@, a %uarter  B!EC is re!oved. Diven  AB ?  BC ? .5 c! and  DE ? 2 c!.:alculate the area of the re!ainin piece ofthe card#oard.  ABCE!   ( c ) 8f 
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