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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
- Let n^(th)term of any sequence is given Tn=(-1^3+2^3-3^3+4^3+. . .+(2n...
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- Let (1+isin alpha)/(1-2i sin alpha) is purely imaginary and (1+i cos b...
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- The remainder when 7^(2022)+3^(2022) is divisible by 5 is
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- The sum of all the values of x satisfying cos^(-1)x-2sin^(-1)x=cos^(-1...
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- 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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- If y=cos^(-1)(x^2-4x+2)/(x^2+3) , then domain is :
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- If xdy=(sqrt(x^2+y^2)+y)dx and y(1)=0, then y(2) equals:
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- 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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- Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...
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- 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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- Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...
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- 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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- A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...
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- A password is to be made of 6 to 8 digits from either of the sets A,B,...
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- The solution of differential equation sin^2(2x) dy/dx+(8sin^2(2x)+4 si...
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- Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...
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- If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...
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- Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...
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- Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...
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- The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...
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