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Let A={(thetainR:(1/3sin(theta)+2/3cos(t...

Let `A={(thetainR:(1/3sin(theta)+2/3cos(theta))^2),(=1/3sin^2(theta)+2/3cos^2(theta)):}}` Then

A

`Acap[0,pi]` is an empty set

B

`Acap[0,pi]` has exactly one point

C

`Acap[0,pi]` has exactly two points

D

`Acap[0,pi]` has more than two points

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    KVPY PREVIOUS YEAR|Exercise EXAMPLE|27 Videos

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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
  1. The number of four-letter words that can be formed, with letters a,b,c...

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  2. Let A={(thetainR:(1/3sin(theta)+2/3cos(theta))^2),(=1/3sin^2(theta)+2/...

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  3. The area of the region bounded by the lines x=1, x=2 and the curves x(...

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  4. Let AB be a line segment with midpoint C, and D be the midpoint of AC....

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  5. The number of integers x satisfying -3x^4+det[(1,x,x^2),(1,x^2,x^4),(1...

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  6. Let P be a non-zero polynomial such that P(1+x)=P(1-x) for all real x,...

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  7. Let f(x)={(xsin(1/x), whenx!=0),(1, when x=0):} and A={x inR:f(x)=1}. ...

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  8. Let S be a subset of the plane defined by:S={(x,y):|x|+2|y|=1} Then th...

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

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

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

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

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

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

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

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

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

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

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

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

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