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If a, b, c, are in A.P, then the determi...

If a, b, c, are in A.P, then the determinant`|[x+2,x+3,x+2a], [x+3,x+4,x+2b], [x+4,x+5,x+2c]|`is(A) 0 (B) 1 (C) x (D) 2x

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Choose the correct answer in questions 17 to 19: If a, b, c are in A.P., then the determinant [{:(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c):}] is : (a) 0 (b) 1 ( c) x (d) 2x

If x , y , z are in A.P. , then the value of the determinant |[a+2,a+3,a+2x],[ a+3,a+4,a+2y],[ a+4,a+5,a+2z]| is a. 1 b. 0 c. 2a d. a

If a,b,c are in AP show that |[x+1,x+2,x+a],[x+2,x+3,x+b],[x+3,x+4,x+c]|=0

The value of the determinant |(x, x+a, x+2a),(x,x+2a, x+4a),(x, x+3a, x+6a)| is (A) 0 (B) a^3-x^3 (C) x^3-a^3 (D) (x-a)^3

If a ,b ,c are different, then the value of |[0,x^2-a, x^3-b], [x^2+a,0,x^2+c], [x^4+b, x-c,0]| is a. b b. c c. b d. 0

If a ,b ,c are different, then the value of |[0,x^2-a, x^3-b],[ x^2+a,0,x^2+c],[ x^4+b, x-c,0]| is a. c b. a c. b d. 0

If a , b , c are distinct, then the value of x satisfying |0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|=0i s c (b) a (c) b (d) 0

If a,b,c are in A.P.and f(x)= |(x+a,x^2+1,1),(x+b, 2x^2-1,1),(x+c,3x^2-2 , 1)| , then f'(x) is :

If b-c, 2b-x and b-a are in H.P., then a- (x/2) , b- (x/2) and c- (x/2) are in

If x+a is a factor of x^4-a^2x^2+3x-6a , then a= (a) 0 (b) -1 (c) 1 (d) 2

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. 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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  2. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b]...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. The value of |[1, 1 ,1],[\ ^n C1,\ ^(n+2)C1,\ ^(n+4)C1],[\ ^n C2,\ ^(n...

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