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a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1...

`a^(−1)`+`b^(−1)`+`c^(−1)`=`0` such that `|[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]|` =△ then the value of △ is

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CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

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  2. Let m be a positive integer and Deltar=|[2r-1,.^mCr,1],[m^2-1,2^m,m+1]...

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  3. a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...

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  4. Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8...

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  5. If Dk=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum(k=1)^n Dk=56. then n eq...

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  6. If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find...

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  7. If x1,x2,x3 as well as y1, y2, y3 are in G.P. with same common rati...

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  8. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

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  9. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  10. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x+2...

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  11. if f(alpha,beta)=|[cos alpha,-sin alpha,1],[sin alpha,cos alpha,1],[co...

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  12. If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct...

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  13. If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)+...+a(50).x^(50), then a(0)+a...

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  14. Find the value of lambda for which the homogeneous system of equations...

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  15. If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...

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  16. Let a ,b ,c be positive and not all equal. Show that the value of the ...

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  17. if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2)...

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  18. Without expanding a determinant at any stage, show that abs((x^2+x ,x+...

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  19. Prove that : |b c-c^2c a-^2a b-c^2c a-b^2a b-c^2b c-a^2a b-c^2b c-a^2c...

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  20. Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...

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