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Let A=[(0,1,2),(a,0,3),(1,c,0)], where a...

Let `A=[(0,1,2),(a,0,3),(1,c,0)]`, where `a, c in RR`. If `A^3=A` and the positive value of `a` belongs to the interval `(n-1, n]`, where `n in N`. then n is equal to ________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. The mean of the coefficients of x, x^2 . . . x^7 in the binomial expan...

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  2. If a and b are the roots of the equation x^2-7x-1=0, then the value of...

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  3. Let A=[(0,1,2),(a,0,3),(1,c,0)], where a, c in RR. If A^3=A and the po...

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  4. Let a line l pass through the origin and be perpendicular to the lines...

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  5. In an examination, 5 students have been allotted their seats as per th...

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  6. For m , n gt 0, let alpha(m,n)=int0^2 t^m(1+3t)^n dt. If 11 alpha(10,6...

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  7. If the point (a,(7sqrt3)/3) lies on the curve traced by the mid -point...

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  8. The number of five digit number , greater than 40000 and divisible by ...

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  9. Let C be the circle in the complex plane with center z(0)=(1)/(2)(91+3...

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  10. Let lambda in ZZ,veca=lambdahati+hatj-hatk and vecb=3hati-hatj+2hatk. ...

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  11. If the local maximum value of the function f(x)=((sqrt3e)/(2sinx))^(si...

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  12. Let an be a sequence such that a1+a2+.....+an= (n^2+3n)/((n+1)(n+2)) I...

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  13. Let P((2sqrt3)/(sqrt7),6/(sqrt7)),Q,R,and S be four points on the elli...

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  14. Let D be the domain of the function f(x)=sin^(-1)(log(3x)((6+2log3x)/(...

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  15. Let the plane P: 4x-y+=10 be rotated by an angle pi/2 about its line o...

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  16. The sum ,of the coefficients of the first 50terms in the binomial of (...

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  17. Let y=y(x),y>0, be a solution curve the differential equation (1+x^2)b...

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  18. The atea of the region enclosed by the curve y=x^3 and its tangent at ...

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  19. Two dice A and B are rolled .Let the number obtained on A and B be alp...

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  20. if (1/(n+1)) ^nCn+(1/n)^nC(n-1)+....+(1/2)^nC1 + ^nC0=(1023)/(10) then...

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