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SHARAM PUBLICATION-MODEL QUESTION PAPER-3-EXERCISE
- Find the particular solution of the differential equation (dy)/(dx)=3...
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- If veca and vecb are unit vectors and veca+vecb is also a unit vector,...
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- If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...
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- If Z is the set of all integers and R is the relation on Z defined as...
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- If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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- Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...
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- Sole the following LPP graphically Maximise Z=6x(1)+7x(2) Subject ...
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- If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...
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- Using elementary operation find the inverse of [(2,3),(5,7)]
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- Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...
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- Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...
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- Find the value of k if the function f(x) defined by f(x)={(2x-1,when x...
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- If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...
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- If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)
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- Find the equations of the tangent to the curve x = sin 3t, y = cos 2t ...
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Evaluate the following integrals : int(cos^(-1)x)/(sqrt(1-x^(2)))dx.
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- Evaluate int(sin x - cos x)dx.
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- Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)
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