TANCET Basic Engineering Maths 2013

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For More Information – www.knowledgeadda.com For More TANCEL Paper – Click ere Tamil Nad! Common Entrance Te"t #TANCET$ ME %a"ic Engineering mat&ematic" '()* +!e"tion paper Question 1 If every minor of order r of a matrix is zero, then rank of  is  less than or e!ual to r   " e!ual to r   C #reater than r   D less than r   Question $ The system %& ' of e!uations is consistent if  det ( ' " ) det & ' C  is non* sin#ular   D  is ortho#onal Question + If +x  $y  z &', x  -y  z & ', $x  y  -z & ' is a system of e!uations, then  it is inconsistent " it has has only only the the tri trivi vial al solu olution tion x & ', y & ', ', z & ') ') C dete determ rmin inan antt of of th the mat matri rixx of of coe coefffici ficien ents ts is zero zero D It can .e reduc reduced ed to a sin sin#l #lee e!u e!uati ation on and and so so sol solut utio ionn doe doess not not exis existt Question "y eliminatin# constants a and . from z & a/x  y0 ., the artial differential e!uation formed is  !&1 "  2! & 1 C 2!&' D !&' Question 3 The value of div /#rad f0, where f & tan*1 /y 4 x0 is  *1 " ' C 1 D $ Question 5 The work done .y the force 6 & yz I  zx k, in movin# a articular from the oint /1, 1, 10 to the  oint /+, +, $0 alon# a ath C is

 " C D

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Question 7 "ilinear transformation always transforms circles into  strai#ht lines " ellises C ara.olas D circles Question 8 If 6/s0 6ourier transform of f/x0, then the 6ourier transform of f/ax0 is  a6/s4a0 " 14a 6/as0 C 14a 6/s4a0 D a6/as0 Question 9 The sufficient conditions for the conver#ence of iteration method is  the the co* co* effi effici cien entt mat matri rixx is is a real real sym symmetr metric ic matri atrixx " the the co* co* effi effici cien entt mat matri rixx is is a dia#o ia#ona nall llyy dom domin inan antt C the the au#m au#men ente tedd matri atrixx is an orth orthoo#ona #onall matr matrix ix D the the co* co* effi effici cien entt mat matri rixx is a sy symmet mmetri ricc mat matri rixx Question 1' The n th divided difference of a n th de#ree olynomial is a  olynomial of de#ree more than 1 " olynomial of of de de#ree mo more th than $ C olynomial of of de de#ree mo more th than ' D constant Question 11 What is the order of :un#e 2 kutta method is a modified ;uler