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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
- The number of four-letter words that can be formed, with letters a,b,c...
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- Let A={(thetainR:(1/3sin(theta)+2/3cos(theta))^2),(=1/3sin^2(theta)+2/...
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- The area of the region bounded by the lines x=1, x=2 and the curves x(...
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- Let AB be a line segment with midpoint C, and D be the midpoint of AC....
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- The number of integers x satisfying -3x^4+det[(1,x,x^2),(1,x^2,x^4),(1...
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- Let P be a non-zero polynomial such that P(1+x)=P(1-x) for all real x,...
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- Let f(x)={(xsin(1/x), whenx!=0),(1, when x=0):} and A={x inR:f(x)=1}. ...
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- Let S be a subset of the plane defined by:S={(x,y):|x|+2|y|=1} Then th...
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- The number of solutions of the equation sin(9x)+sin(3x)=0 in the close...
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- Among all the parallelograms whose diagonals are 10 and 4, the one hav...
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- The number of ordered pairs (a,b) of positive integers such that(2a-1)...
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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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- Let sigma1,sigma2,sigma3 be planes passing through the origin. Assume ...
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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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