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If Ar=|(1,r,2^r),(2,n,n^2),(n,(n(n+1))/2...

If `A_r=|(1,r,2^r),(2,n,n^2),(n,(n(n+1))/2 ,2^(n+1))|` , then the value of `sum_(r=1)^n A_r` is `n` (b) `2n` (c) `-2n` (d) `n^2`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
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  2. If 1.omega, omega^2 are the roots of unity, then Delta=|(1,omega^n,ome...

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  3. If Ar=|(1,r,2^r),(2,n,n^2),(n,(n(n+1))/2 ,2^(n+1))| , then the value o...

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  4. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b]...

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  7. If a, b, c, are in A.P, then the determinant|[x+2,x+3,x+2a], [x+3,x+4,...

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  8. If A+B+C=pi, then the value of |"sin"(A+B+C)sin(A+C)cosC-sinB0tanCcos...

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  9. The number of distinct real roots of |{:(cosec x, secx, secx), (secx...

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  10. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

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  11. If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , then x= (a) 3 (b) +-3 (c) +-6 (...

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  12. If f(x)=|[0,x-a, x-b], [x+a,0,x-c], [x+b, x+c,0]|,t h e n (a)f(a)=0 ...

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  13. The value of the determinant |[a-b,b+c, a], [b-a, c+a, b], [c-a, a+b...

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  14. If x , y , z are different from zero and |[1+x,1 ,1], [1, 1+y,1], [1, ...

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  15. The determinant |{:(b^2-ab, b-c, bc-ac), (a b-a^2, a-b, b^2-ab) ,(b c-...

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  16. If x , y in R , then the determinant =|[cosx,-sinx,1],[sinx,cosx,1],[...

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  17. The maximum value of =|[1, 1, 1], [1, 1+sintheta,1], [1+costheta,1, 1]...

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  18. The value of the determinant |[x,x+y, x+2y], [x+2y, x,x+y], [x+y, x+2y...

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  19. Let f(x)=|[cosx, x, 1], [2sinx ,x,2x],[sinx, x, x]| , then (lim)(x->0)...

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  20. If there are two values of a which makes determinant, Delta=|(1,-2,5...

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