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If a >0 and discriminant of a x^2+2b x+c...

If `a >0` and discriminant of `a x^2+2b x+c` is negative, then `|[a,b,ax+b],[b,c,bx+c],[ax+b,bx+c,0]|` is a.`+v e` b. `(a c-b)^2(a x^2+2b x+c)` c. `-v e` d. `0`

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If a >0 and discriminant of a x^2+2b x+c is negative, then Delta = |(a,b,ax +b),(b,c,bx +c),(ax +b,bx +c,0)| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

Prove that: |[a, b, ax+by],[ b, c, bx+cy], [ax+by, bx+cy,0]|=(b^2-a c)(a x^2+2b x y+c y^2)

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If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is a. x=1 b. x=2 c. x=a^2+b^2+c^2 d. x=0

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If x ^(2)+bx+b is a factor of x ^(3) +2x ^(2) +2x+c (c ne 0), then b-c is :

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If 1.omega, omega^2 are the roots of unity, then Delta=|(1,omega^n,ome...

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  2. 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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  3. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b]...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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