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In the expansion (1+x)^p(1-x)^q , when p...

In the expansion `(1+x)^p(1-x)^q` , when `p gt 0` the coefficient of `x and x^2` are `-3 and -5` respectively , then the coefficient of `x^3` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If p,q,r are positive real number such that (p^2+q^2)x^2-2q(p+r)x+q^2+...

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  2. Let f (x) =3x ^(10) -7x ^(8) +5x^(6) -21 x ^(3) +3x ^(2) -7 265 (lim...

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  3. In the expansion (1+x)^p(1-x)^q , when p gt 0 the coefficient of x and...

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  4. If the mean and variance of a binomial probability distribution are al...

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  5. Statement ~(p hArr ~q) wedge q is equivalent to

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  6. If f(x)={((ln(1-x+x^2)+ln(1+x+x^2))/(sec x -cos x), x ne 0),(k,x=0):} ...

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  7. If g(x)={(x+a , x le 0),(abs(x-4), x gt 0):} and f(x)={(x+1 , x lt 0),...

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  8. In complex plane, three points O ,A , B are such that O is origin A(1,...

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  9. If A=[(1),(1),(1)] , B =[(9^2,10^2,11^2),(12^2,-13^2,14^2),(15^2,16^2,...

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  10. The value of int0^(20pi) (abs(sin x)+ abs(cos x))dx is equal to :

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  11. The total number between 1000 and 3000 divisible by 4 using the digits...

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  12. The area of region between the curve y=abs(x^2-1) and y=1 is :

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  13. The interval in which abscissa of point P on y=x^2 lies such that its ...

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  14. The minimum value of the sum of the square of the roots of the equatio...

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  15. Let A={1,2,3,4,5,6} , B={3,4,6,7,9} and C=A uu B , then number of elem...

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  16. The equation of the common tangent to the parabola y=x^2 and y=-(x-2)^...

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  17. If x-1=0 is directrix of hyperbola kx^2-y^2=6 then the point lying on ...

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  18. If z=x+iy , absz-2=0 and abs(z-i)-abs(z+5i)=0 , then which of the foll...

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  19. If lim(x to 0) (alpha x -(e^(3x)-1))/(alpha x (e^(3x)-1))=beta then al...

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  20. Let roots of x^2-4x-6=0 are the abscissa and roots of y^2+2y-7=0 are t...

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