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If p(x) is a polynomial of degree 6 with...

If `p(x)` is a polynomial of degree 6 with coefficient of `x^6` equal to 1 . If extreme value occur at x=1 and x=-1 , `lim_(xrarro)(f(x)/x^3)=1` then `5f(2)=`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-B
  1. Of the three independent events E1, E2 and E3, the probability that on...

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  2. Let P=[(3,-1,-2),(2,0,alpha),(3,-5,0)] , where alpha in R . Suppos...

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  3. If p(x) is a polynomial of degree 6 with coefficient of x^6 equal to 1...

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  4. The number of points, at which the function f(x)=|2x+1|-3|x+2|+|x^(2)+...

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  5. The graphs of sine and cosine functions, intersect each other at a num...

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  6. Let A(1), A(2), A(3), ........ be squares such that for each n ge 1, ...

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  7. Let A=[(x,y,z),(y,z,x),(z,x,y)], where x, y and z are real numbers suc...

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  8. A = [(0,-tan""(theta)/(2)),(tan""(theta)/(2),0)] and (I+A)(I-A)^-1=[(a...

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  9. Find the total number of number lying between 100 and 1000 formed usin...

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  10. Let veca=hati+2hatj-hatk, vecb=hati-hatj and vecc=hati-hatj-hatk be th...

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  11. If the system of equations kx + y + 2z = 1 3x-y-2z = 2 -2x-2y...

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  12. The locus of the point of intersection of the lines (sqrt(3))kx+ky-4sq...

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  13. The difference between degree and order of a differential equation tha...

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  14. The number of integral values of 'k' for which the equation 3sinx + 4 ...

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  15. Find no. of solutions log2(x-3)=log4(x-1)

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  16. The sum of 162^(nd) power of the root of the equation x^3-2x^2+2x-1=0 ...

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  17. Let m ,n in N and g c d ( 2, n)=1. if 30((30),(0))+((30),(1))+......

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  18. If y=y(x) is the solution of the equation e^(sin y) cos y""(d...

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  19. Let ( lamda , 2,1) be a point on the plane which passes throug...

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  20. The area bounded by the lines y= || x-1| -2| and x axis is

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