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- Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...
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- Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...
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- Show that the semivertical angle of a cone of given slant height is ta...
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- Let f be defined by f (x)=2x + 1 for all xinR. Show that f is bijectiv...
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- Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...
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- If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...
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- Find the inverse of the following matrix using elementary transformati...
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- Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric ...
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- Prove that intdx/(1+cosx+sinx)=ln|1+tan""x /2|+c .
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- Solve (x-y+1)dx-(x+y+5)dy=0
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- Give example of a function whose is continuous but not differentiable ...
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- If absveca=10,absvecb=1 and veca.vecb=0 then what is the value of |vec...
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- Express the value of sin "cos"^(-1) tan sec^(-1)sqrt2in simplest form.
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- Give example of a function which is increasing in (-oo,2) and (3,oo) a...
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- For a 2xx2 matrix A, if A.adjA=[(10,0),(0,10)], then what is the value...
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- What is the distance of point (3,-4, 5) from z-axis ?
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- What is the value of abs((1,logx y, logx z),(logy x,1,logy z),(logz x,...
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- What is the value of int0^100[tan^(-1)x]dx ?
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- Write the value of inte^(x)e^(e^x)e^(e^(e^x))dx.
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- Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...
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