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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.
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- Find all possible equivalence relations on X={1,2,3}
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- Find the fesible region of the following system:3x-yge0,xge0,yge0
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- In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...
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- If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...
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- If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...
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- [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...
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- Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0
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- Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)
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- If A is square matrix,then prove that A.(adj*A)=absAI.
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- If y=sqrt(x+1)Find deltay and dy when X=8 and dx=0.02.
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- Shows that the following functions do not possess maximum or minimum. ...
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- Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.
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- If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...
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- Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...
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- Solve xsin""y/xdy=(ysin""y/x-x)dx
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- Evaluate int0^(pi/2)sinx/(sinx+cosx)dx.
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- Determine the area within the ellipse x^2/a^2+y^2/b^2=1.
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- Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx
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- If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk,then find the angle ...
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