Home
Class 12
MATHS
If f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,...

If `f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}|`, then `"............"`

A

f(a)=0

B

f(b)=0

C

f(0)=0

D

f(1)=0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|10 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|11 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

Consider the determinant f(x)=|{:(0,x^(2)-a,x^(3)-b),(x^(2)+a,0,x^(2)+c),(x^(4)+b,x-c,0):}| Statement -1 f(x) =0 has one root x =0 . Statement -2 The value of skew -symmetric determinant of odd order is always zero.

If ane0,bne0,cne0 and |{:(0,x^2+a,x^4+b),(x^2-a,0,x-c),(x^3-b,x^2+c,0):}|=? , for x=0

If f(x)= {{:(,(x log cos x)/(log(1+x^(2))),x ne 0),(,0,x=0):} then

If f(x) = {{:(x - 3",",x lt 0),(x^(2) - 3x + 2",",x ge 0):} , then g(x) = f(|x|) is

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

If f(x) = {{:((sin^(-1)x)^(2)cos((1)/(x))",",x ne 0),(0",",x = 0):} then f(x) is

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is(a) continuous at x = 0 ,(b) continuous at x = 1 (c)differentiable at x = 0

|{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}|=0 where a,b,c are in A.P

f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}

Let g(x)=1+x-[x] "and " f(x)={{:(-1","x lt 0),(0","x=0),(1","x gt 0):} Then, for all x, find f(g(x)).