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If the maximum and minimum values of the...

If the maximum and minimum values of the determinant
`|(1+sin^(2)x,cos^(2)x,sin2x),(sin^(2)x,1+cos^(2)x,sin2x),(sin^(2)x,cos^(2)x,1+sin2x)|` are `alpha` and `beta` respectively, then `alpha+2beta` is equal to

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If the maximum and minimum values of the determinant |(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)| are alpha and beta , then

If maximum and minimum values of the determinant |{:(1+sin^2x,cos^2x,sin2x),(sin^2x,1+cos^2x,sin2x),(sin^2x,cos^2x,1+sin2x):}| are alpha and beta then show that (alpha^(2n)-beta^(2n)) is always an even integer for n in N .

If maximum and minimum values of the determinant |{:(1 + cos^(2)x , sin^(2) x, cos 2x),(cos^(2) x , 1 + sin^(2)x, cos 2x),(cos^(2) x , sin^(2) x , 1 + cos 2 x):}| are alpha and beta then

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If f(x)= |{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x),(,sin^(2)x,cos^(2)x,1+4sin2x):}| then the maximum value of f(x) is

Find the maximum value of abs((sin^2x,1+cos^2x,cos2x),(1+sin^2x,cos^2x,cos2x),(sin^2x,cos^2x,sin2x))

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NTA MOCK TESTS-JEE MOCK TEST 15-MCQS (MATH)
  1. underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

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  2. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

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  3. The sum of the squares of deviation of 10 observations from their mean...

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  4. 2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x...

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  5. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

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  6. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  7. Which of the following is logically equivalent to ~(~pto q)?

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  8. The number of different terms in the expansion of (1-x)^(201)(1+x+x^(2...

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  9. The angle of elevation of an object on a hill is observed from a certa...

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  10. If alpha,beta are the roots of the equation x^(2)-3x+4=0, then the equ...

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  11. If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...

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  12. If z be a complex number satisfying |z-4+8i|=4, then the least and the...

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  13. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

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  14. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  15. The number of value of x in [0,2] at which f(x)=|x-1/2|+|x-1|+tan x is...

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  16. Find the number of ways in which four distinct balls can be kept into ...

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  17. A bag contains b blue balls and r red balls. If two balls are drawn at...

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  18. If the maximum and minimum values of the determinant |(1+sin^(2)x,co...

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  19. The equation of the common tangent to the curves y^(2)=4x and x^(2)+32...

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  20. I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2...

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