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KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
- Let a=cos 1^(@) and b= sin 1^(@). We say that a real number is algebra...
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- A rectangle with its sides parallel to the x-axis and y-axis is inscib...
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- Let f(x)=x|sin x|,x in R. Then
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- Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| ...
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- The value of the integral int(0)^(pi)(1-|sin 8x|)dx is
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- Let in x denote the logarithm of x with respect to the base e. Let S s...
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- Let S be the set of real numbers p such that there is no nonzero conti...
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- The porbability of men getting a certain disease is (1)/(2) and that o...
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- The number of function f:[0,1] to [0,1]" satisfying " |f(x)-f(x)|=|x-...
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- Suppose A is a 3xx3 matrix consisting of integer entries that are chos...
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- Let x^(2)=4ky,k gt 0 be a parabola with vertex A. Let BC be its latus ...
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- Let f:[0'1] to [-1,1] and g:[-1,1] to [0,2] be two functions such that...
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- Let R be a rectangle , C be a circle, and T be a triangle in the plane...
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- The number of different possible values for the sum x+y+z, where x,y,z...
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- Let Gamma be a circle with diameter AB and centre O.Let l be the tange...
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- The number of solution x of the equation sin (x+x^(2))- sin(x^(2))= si...
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- The number of polynomials p:R to R satisfying p(0)=0,p(x) gtx^(2) for ...
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- Consider the set A(n) of point (x,y) such that 0 le x le n, 0 le y le ...
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- The maximum possible area bounded by the parabola y=x^2+x+10 and a cho...
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- Suppose z is any root of 11z^8+20iz^7+10iz-22=0 where i=sqrt-1.Then,S=...
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