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Given that q^2-p r <0,\ p >0, then t...

Given that `q^2-p r <0,\ p >0,` then the value of `{:|(p, q, px+qy), (q, r, qx+ry), (px+qy, qx+ry, 0) |:}` is-
a. zero b. positive c. negative`\ ` d. `q^2+p r`

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ALLEN -DETERMINANTS-All Questions
  1. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  2. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  3. Given that q^2-p r <0,\ p >0, then the value of {:|(p, q, px+qy), ...

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  4. If |{:(a, a, x), (m, m, m),(b, x, b):}|=0,\ then x may be equal to- ...

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  5. The value of the determinant {:|(alpha,beta,l), (alpha,x, n),(alpha,be...

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  6. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

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  7. If the system of equations x+y-3=0,\ (1+K)x+(2+K)y-8=0\ &\ x-(1+K)y...

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  8. If the determinant |[a+p, l+x, u+f], [b+q, x+y, v+g], [c+r, n+z, w+h]|...

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  9. The values of lambda for which the system of equations x+y+z=6,x+2y+3z...

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  10. If x , y , z are in A.P. , then the value of the determinant are in A....

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  11. Let p be the sum of all possible determinabnts of order 2 having 0,...

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  12. Statement 1 is True: Statement 2 is True; Statement 2 is a correct e...

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  13. Statement 1 is True: Statement 2 is True; Statement 2 is a correct e...

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  14. Statement 1 is True: Statement 2 is True; Statement 2 is a correct e...

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  15. Without expanding the determinant prove that: {:|(0,p-q,p-r),( q-p,0, ...

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  16. Without expanding the determinant prove that: {:|(0,a,-b),(-a,0,-c),(...

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  17. Prove that: |[ax,by,cz], [x^2,y^2,z^2], [1,1,1]|=|[a,b,c],[x,y,z],[yz,...

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  18. Prove that: {:|(1,a, a^2-bc), (1,b,b^2-ca),(1,c,c^2-ab)|:}=0

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  19. Prove that: {:|(a^2+2a,2a+1,1), (2a+1,a+2,1),(3,3,1)|:}=(a-1)^3 .

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  20. Using properties of determinants or otherwise evaluate {:|(18, 40, 8...

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