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Let f(x)=|[cosx, x, 1], [2sinx ,x,2x],[s...

Let `f(x)=|[cosx, x, 1], [2sinx ,x,2x],[sinx, x, x]|` , then `(lim)_(x->0)(f(x))/(x^2)` is equal to (a) 0 (b) -1 (c) 2 (d) 3

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. 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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  2. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b]...

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  3. The value of |[5^2 ,5^3, 5^4], [5^3, 5^4, 5^5], [5^4, 5^5, 5^6]| is (a...

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  4. |[(log)3 512,(log)4 3],[(log)3 8,(log)4 9]|xx|[(log)2 3,(log)8 3],[(lo...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If Delta=|(a,p,x),(b,q,y),(c,r,z)|=16 then Delta(1)=|(p+x,a+x,a+p),(q+...

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  20. The value of |[1, 1 ,1],[\ ^n C1,\ ^(n+2)C1,\ ^(n+4)C1],[\ ^n C2,\ ^(n...

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