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A=[a(ij)](3xx3), where a(ij)=2^(j-i) whe...

`A=[a_(ij)]_(3xx3)`, where `a_(ij)=2^(j-i)` where, `i,j in {1,2,3}`, then the value of `A^2+A^3+A^4+. . .+A^10` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. A wire of length 22cm is given. If it is cut into 2 pieces and maded a...

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  2. Domain of cos^-1(2sin^-1 (1/(4x^2-1))/pi) is

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  3. A=[a(ij)](3xx3), where a(ij)=2^(j-i) where, i,j in {1,2,3}, then the v...

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  4. Find the area bounded by the curves y^2=8x , y=2sqrt2x outside the tri...

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  5. If (p vv q) triangle (p wedge q implies q) is tautology, then what is ...

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  6. The number of solutions of equation 2 theta -cos^2 theta + sqrt2=0 is

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  7. a0=a1=0 , a(n+2)=2a(n+1)-an+1 , n ge 0 then sum(n=2)^oo an/7^n is equa...

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  8. A tangent is drawn to x^2+y^2=2 at P(1,-1). This tangent intersects th...

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  9. Given line y=2 , two points A and A' lie on this line .B (2,3) is such...

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  10. The probability of making a singular matrix 2xx2 taking elements from ...

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  11. If alpha and beta are the roots of the equation x^2+2i-1=0, then the v...

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  12. The constant term in the expansion of (3x^3+2x^2-5/x^5)^10 is

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  13. The mean and variance of x1,x2,x3,x4,x5 is 24/5 and 194/25 respectivel...

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  14. Let x^2/a^2-y^2/b^2=1, be a hyperbola with eccentricity sqrt11/2. If s...

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  15. Find the value of lim(n to oo) 6 tan{sum(r=1)^n tan^-1(1/(r^2+3r+3))} ...

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  16. lim(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3+2x-1) is equal to

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  17. If the line (x-2)/3=(y-2)/4=(z+6)/2 intersects the plane 2x+4y+3z=0 at...

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  18. If sin x =cos^2 x, then the number of solution in x in (0,10) are

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  19. In the expansion of (2x^(1/5)-1/(x^(1/5)))^15 , coefficients of x^-1 a...

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  20. If A=[(2,-1),(0,2)], then the modulus of all elements of matrix B whic...

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