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`A=[(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma ,alpha+gamma,alpha+beta)] and (abs(adj(adj(adj(adj(A))))))/((alpha-beta)^16(beta-alpha)^16(gamma-alpha)^16)=2^(32).3^(16),` where `alpha,beta,gamma` are distinct natural number , then number of triplets of `(alpha,beta,gamma)` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
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  2. f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x) is continuo...

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  3. A=[(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma ,alpha+gamm...

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  4. Let n^(th)term of any sequence is given Tn=(-1^3+2^3-3^3+4^3+. . .+(2n...

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  5. Let (1+isin alpha)/(1-2i sin alpha) is purely imaginary and (1+i cos b...

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  6. The remainder when 7^(2022)+3^(2022) is divisible by 5 is

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  7. The sum of all the values of x satisfying cos^(-1)x-2sin^(-1)x=cos^(-1...

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  8. f(x)=int0^x e^(x-t)f'(t)dt+e^x(x^2-x+1). Find maximum value of f(x).

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  9. If y=cos^(-1)(x^2-4x+2)/(x^2+3) , then domain is :

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  10. If xdy=(sqrt(x^2+y^2)+y)dx and y(1)=0, then y(2) equals:

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  11. If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((a1+1/a2)/a3).((a2+1/a3)/a4)......

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  12. Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...

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  13. If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A^(98)+A^(49),Bn=adj(B(n-1)), t...

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  14. Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...

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  15. Let hyperbola H : x^2-y^2=1 and ellipse E : x^2/a^2+y^2/b^2=1 and ecce...

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  16. A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...

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  17. A password is to be made of 6 to 8 digits from either of the sets A,B,...

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  18. The solution of differential equation sin^2(2x) dy/dx+(8sin^2(2x)+4 si...

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  19. Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...

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  20. If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...

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