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The sum of roots of the equations
`|{:(x+2,,2x+3,,3x+4),(2x+3,,3x+4,,4x+5),(3x+5,,5x+8,,10x+17):}| =0 " is " "____"`

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  2. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

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  3. Let A=[(3x^(2)),(1),(6x)], B=[(a,b,c)], and C=[((x+2)^(2),5x^(2),2x)...

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  4. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

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  5. Let S be the set which contains all possible values of l, m, n, p, q, ...

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  6. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  7. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|[a1,a2,a3],[5, 4,a6...

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  8. about to only mathematics

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  9. The sum of roots of the equations |{:(x+2,,2x+3,,3x+4),(2x+3,,3...

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  10. If alpha,beta,gamma are real numbers, then without expanding at any...

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  11. Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...

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  12. Express =|2b c-a^2c^2b^2c^2 2c a-b^2a^2b 62a^2 2a b-c^2| as square of ...

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  13. Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...

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  14. If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)

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  15. If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...

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  16. Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^...

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  17. Write down 2xx2 matrix A which corresponds to a counterclockwise rota...

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  18. If A , B ,a n dC are the angles of triangle, show that the system o...

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  19. If a x1 2+b y1 2+c z1 2=a x2 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d ,a...

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  20. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

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