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If f(x)=x+int0^1(x-t)f(t)dt and then fin...

If `f(x)=x+int_0^1(x-t)f(t)dt` and then find `f(t)`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let alpha be the root of equation x^4+x^2+1=0 then the value of alpha^...

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  2. The two sides of a triangle are 2x-y-1=0 and x-2y+1=0 If orthocentre o...

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  3. If f(x)=x+int0^1(x-t)f(t)dt and then find f(t)

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  4. (1+e^(2x))dy/dx+2(1+y^2)e^x=0 , y(0)=0 ,find 6(f'(0)+(f(logsqrt3))^2)

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  5. Find the probability that a relation {x,y} to {x,y} is symmetric as we...

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  6. M=[(0,-alpha),(alpha,0)]. If (I-M^2)N=-2I & N =sum(k=1)^49M^(2k) ,then...

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  7. Area between x^2+y^2 le a^2 ,x^2/a^2+y^2/b^2 gt 1 is 30pi and area bet...

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  8. For any integer n , the integral int0^pi e^(sin^2 x) cos^3((2n+1)x)dx

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  9. If roots of x^2-8ax+2a=0 are p and r, while q and s are roots of x^2+1...

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  10. (p to q) wedge (q to ~p) equivalent to

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  11. If a1 =b1=1 , an=a(n+1)+2 and bn=an+b(n-1) , then find the value of su...

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  12. If sum and product of mean and variance of a Binomial distribution is ...

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  13. Let alpha , beta , gamma and delta be the roots of x^4+x^3+x^2+x+1=0 t...

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  14. All words formed by arranging the letters of word "MANKIND" are placed...

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  15. (1+2/3+6/3^2+10/3^3+. . . + oo)^(log(0.25)(1/3+1/3^2+1/3^3+. . . +oo))...

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  16. Find the locus of the centroid formed by any point P on hyperbola and ...

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  17. [(x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-sqrtx)]^10 for the given expressio...

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  18. Equation of plane containing the straight line x/2=y/3=z/4 and perpend...

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  19. Argument of z=1+e^(i ((6pi)/5) is equal to :

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  20. Let Q be the foot of the tower PQ and R cuts the tower such that RQ=15...

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