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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
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- Let z=x+iy and w=u+iv be two complex numbers, such that |z|=|w|=1 and ...
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- Ravi and Rashmi are each holding 2 red cards and 2 black cards (all fo...
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- Let A1,A2 and A3 be the region on R^2 defined by A1={(x,y):xge0,yge0,2...
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- Let f:RrarrR be a continuous function such that f(x^2)=f(x^3) for all ...
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- Suppose a continuous function f:[0,infty)rarrR satisfies f(x)=2int0^xt...
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- Let a>0, a!=0. Then the set S of all positive real numbers b satisfyin...
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- Let f:RrarrR be function defined by f(x)={(sin(x^2)/2, ifx!=0),(0,if x...
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- The points C and D on a semicircle with AB as diameter are such that A...
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- Let f(x)=x^6-2x^5+x^3+x^2-x-1 and g(x)=x^4-x^3-x^2-1 be two polynomial...
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- The number of solutions to sin(pisin^2(theta))+sin(picos^2(theta))=2co...
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- Let J=int0^1x/(1+x^8)dx. Consider the following assertions: I.J>1/4 II...
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