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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
- lim(x rarr 0) (1-ax)^(1/x) =
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- Lim(nto oo)(3^(n)+4^(n))^((1)/(n))=
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- The locus of a point which moves such that the difference of its dista...
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- The distance between the directrices of the hyperbola x=8sectheta,y=8t...
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- If cos^(-1)x+cosy^(-1)+cos^(-1)x=3pi then xy+yz+zx=
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- sin((1)/(2)"cos"^(-1)(4)/(5))=
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- The general solution of the equation tan2thetatantheta=1 for n in Z i...
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- The angle between the lines in x^(2)-xy-6y^(2)-7x+31y-18=0 is
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- If p is the length of the perpendicular from the origin on the line wh...
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- The equation of the line bisecting perpendicularly the segment joining...
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- If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 ti...
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- The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...
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- Prove that int(0)^(a) f(x) dx = int(0)^(a) f(a - x)dx and hence evalua...
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- int(0)^(2pi)(sinx+|sinx|)dx=
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- If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =
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- The area included between the parabolas x^(2)=4y and y^(2)=4x is, (in ...
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- The differential equation for which sin^(-1)x+sin^(-1)y=C is given by
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- The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...
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- If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=
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- If y=1-x+(x^(2))/(2!)-(x^(3))/(3!)+(x^(4))/(4!)- . . . . then (d^(2)y)...
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