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The number of real solution x of the equ...

The number of real solution x of the equation
`cos^(2)(x sin (2x))+(1)/(1+x^(2))=cos^(2)x+sec^(2)x` is

A

0

B

1

C

2

D

infinite

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KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
  1. Let S ={x in R: cos(x)+cos(sqrt(2)x)lt2}. Then

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  2. On a rectangular hyperbola x^(2)-y^(2)=a^(2),a gt 0, three points A,B,...

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  3. The number of real solution x of the equation cos^(2)(x sin (2x))+(1...

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  4. Let (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , a gt b, be an ellipse with foc...

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  5. Let a=cos 1^(@) and b= sin 1^(@). We say that a real number is algebra...

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  6. A rectangle with its sides parallel to the x-axis and y-axis is inscib...

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  7. Let f(x)=x|sin x|,x in R. Then

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  8. Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| ...

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  9. The value of the integral int(0)^(pi)(1-|sin 8x|)dx is

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  10. Let in x denote the logarithm of x with respect to the base e. Let S s...

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  11. Let S be the set of real numbers p such that there is no nonzero conti...

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  12. The porbability of men getting a certain disease is (1)/(2) and that o...

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  13. The number of function f:[0,1] to [0,1]" satisfying " |f(x)-f(x)|=|x-...

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  14. Suppose A is a 3xx3 matrix consisting of integer entries that are chos...

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  15. Let x^(2)=4ky,k gt 0 be a parabola with vertex A. Let BC be its latus ...

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  16. Let f:[0'1] to [-1,1] and g:[-1,1] to [0,2] be two functions such that...

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  17. Let R be a rectangle , C be a circle, and T be a triangle in the plane...

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  18. The number of different possible values for the sum x+y+z, where x,y,z...

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  19. Let Gamma be a circle with diameter AB and centre O.Let l be the tange...

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  20. The number of solution x of the equation sin (x+x^(2))- sin(x^(2))= si...

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