Home
Class 12
MATHS
The value of the determinant |{:(1,0,-1)...

The value of the determinant `|{:(1,0,-1),(a,1,1-a),(b,a,1+a-b):}|` depends on :

A

only a

B

only b

C

neither a nor b

D

both a and b

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-2 : ONE OR MORE THAN ONE ANSWER IS / ARE CORRECT|6 Videos

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|3 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

Similar Questions

Explore conceptually related problems

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

The value of the determinant |{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1, ab,c(a+b)):}| doesn't depend on

The value of the determinant |(1+a, 1, 1),(1, 1+a, 1),(1, 1, 1+a)| is zero if (A) a=-3 (B) a=0 (C) a=2 (D) a=1

If a ,\ b ,\ c are the roots of the equation x^3+p x+q=0 , then find the value of the determinant |(1+a,1 ,1), (1, 1+b,1),( 1, 1 ,1+c)| .

If a,b,c and d are the roots of the equation x^(4)+2x^(3)+4x^(2)+8x+16=0 the value of the determinant |{:(1+a,1,1,1),(1,1+b,1,1),(1,1,1+c,1),(1,1,1,1+d):}| is

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

If C = 2 cos theta , then the value of the determinant Delta = |(C,1,0),(1,C,1),(6,1,c)| , is

If the value of the determinant |(a,1, 1) (1,b,1) (1,1,c)| is positive then a. a b c >1 b. a b c> -8 c. a b c -2

Write the value of the determinant |[a,1,b+c], [b,1,c+a] ,[c,1,a+b]| .

If A = int_(1)^(sintheta) (t)/(1 + r^(2)) dt and B = int_(1)^("cosec"theta) (1)/(t(1 +t^(2))) dt , then the value of the determinant |(A,A^(2),B),(e^(A +B),B^(2),-1),(1,A^(2) + B^(2) ,-1)| is