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Among all the parallelograms whose diago...

Among all the parallelograms whose diagonals are 10 and 4, the one having maximum area has its perimeter lying in the interval

A

[19.20]

B

[20,21]

C

[21,22]

D

[22,23]

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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
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  2. Let S be a subset of the plane defined by:S={(x,y):|x|+2|y|=1} Then th...

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  3. The number of solutions of the equation sin(9x)+sin(3x)=0 in the close...

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  4. Among all the parallelograms whose diagonals are 10 and 4, the one hav...

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  5. The number of ordered pairs (a,b) of positive integers such that(2a-1)...

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  6. Let z=x+iy and w=u+iv be two complex numbers, such that |z|=|w|=1 and ...

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  7. Let sigma1,sigma2,sigma3 be planes passing through the origin. Assume ...

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  8. Ravi and Rashmi are each holding 2 red cards and 2 black cards (all fo...

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  9. Let A1,A2 and A3 be the region on R^2 defined by A1={(x,y):xge0,yge0,2...

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  10. Let f:RrarrR be a continuous function such that f(x^2)=f(x^3) for all ...

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  11. Suppose a continuous function f:[0,infty)rarrR satisfies f(x)=2int0^xt...

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  12. Let a>0, a!=0. Then the set S of all positive real numbers b satisfyin...

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  13. Let f:RrarrR be function defined by f(x)={(sin(x^2)/2, ifx!=0),(0,if x...

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  14. The points C and D on a semicircle with AB as diameter are such that A...

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  15. 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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  16. The number of solutions to sin(pisin^2(theta))+sin(picos^2(theta))=2co...

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  17. Let J=int0^1x/(1+x^8)dx. Consider the following assertions: I.J>1/4 II...

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  18. Let f:(-1,1)rarrR be a differentiable function satisfying (f'(x))^4=16...

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  19. Let A be the set of vectors veca=(a1,a2,a3) satisfying (sum(i=1)^3ai/2...

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  20. Let f:[0,1]rarr[0,1] be a continuous function such that x^2+(f(x))^2le...

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