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The number of four letters word while each consisting 2 distinct and two alike letters taken from eord `SYLLABUS`

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the ...

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  2. If the distance of line 2x-y+3=0 from 4x-2y+p=0 and 6x-3y+r=0 is respe...

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  3. The number of four letters word while each consisting 2 distinct and t...

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  4. The natural number m , for which the coefficient of x in the binomial ...

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  5. Four different dice are thrown independently 27 times, then find the e...

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  6. If alpha and beta be two roots of the equation x^(2) -64x+ 256=0 . ...

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  7. The area ( in sq. units ) of the region A={(x,y):|x| + |y| le 1 , 2y^(...

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  8. Find the general solution of the differential equation sqrt(1+x^(2)...

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  9. Let L1 be a tangent to the parabola y^(2) = 4(x+1) and L2 be a tangent...

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  10. If f(x+y)=f(x)f(y) and sum(x=1)^(oo)f(x)=2,x,y in N, where N is the se...

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  11. Let I1= int0^1 (1-x^50)^100 dx and I2= int0^1(1-x^50)^101 dx and I1= l...

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  12. Out of 11 consecutive natural numbers if three number are selected at ...

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  13. A ray of light coming from the point (2,2sqrt(3)) is incident at an a...

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  14. Which of the following points lies on the locus of the foot of perpe...

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  15. The region represented by {z=x+iy in C:|z|-"Re"(z) le 1} is also given...

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  16. The position of a moving car at time t is given by f(t)=at^(2) + bt+c,...

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  17. lim(x to 1)""((int0^((x-1)) t cos(t) dt)/((x-1) sin(x-1)))

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  18. If sum(i=1)^n (xi -a) =n and sum(i=1)^n (xi - a)^2 =na then the standa...

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  19. If {p} denotes the fractional part of the number p , then {(3^(200))/(...

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  20. The shortest distance between the lines (x-1)/(0)=(y+1)/(-1)=(z)/(1)...

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