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f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,...

`f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]|` . Then value of `lim_(x->0)(f'(x))/x` is equal to

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Find the value of a \ a n d \ b if the system of equation a^2x-b y=a...

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  2. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

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  3. f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]| . Then value of lim(x->0)(...

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  4. If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c...

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  5. Let alpha be a repeated root of a quadratic equation f(x)=0 and A(x...

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  6. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

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  7. Value of |{:(1+x(1),,1+x(1)x,,1+x(1)x^(2)),(1+x(2),,1+x(2)x,,1+x(2)x^(...

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  8. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

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  9. The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b...

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  10. Prove that the value of each the following determinants is zero: |a...

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  11. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

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  13. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

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  14. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

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  15. If the determinant |[b-c,c-a, a-b],[b^(prime)-c ', c^(prime)-a ', a^(p...

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  16. Let a ,b , c be the real numbers. The following system of equations in...

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  17. By using properties of determinats. Prove that- |(sintheta,costheta,...

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  18. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

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  19. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

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  20. Prove that: cos(A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(-A+B+C)=4cos A\ cos B...

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