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

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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 (b) f(b)=0 (c) f(0)=0 (d) f(1)=0

If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f(0)=0 f(1)=0

Find the number of real root of the equation |[0,x-a, x-b],[ x+a,0,x-c],[ x+b, x+c,0]|=0,a!=b!=c and b(a+c)> a c

Use properties of determinants to solve for x: |{:(,x+a,b,c),(,c,x+b,a),(,a,b,x+c):}|=0 and x=0

If a ne b ne c , then solution of equation |{:(x-a,x-b,x-c),(x-b,x-c,x-a),(x-c, x-a,x-b):}|=0" "is:

Let f(x) ={{:( xe^(x), xle0),( x+x^(2)-x^(3), xgt0):} then the correct statement is (a) f is continuous and differentiable for all x (b) f is continuous but not differentiable at x=0 (c) f is continuous and differentiable for all x . (d) f ' is continuous but not differentiable at x=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 f(x)={[1/(x^2)-1/(x^2),xlt0],[sin^(-1)(x+b),x gt-0]} then at x=0,f(x) is (a)continuous if b=0 (b)discontinuous for any real b (c)differentiable for b=+-1 (d)non-differentiable for any real b

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 f(x)={{:(2+x,xge0),(2-x,xlt0):} then lim_(x to 0) f(f(x)) is equal to (A) 0 (B) 4 (C) 2 (D) does not exist

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise

The value of |(11,12,13),(12,13,14),(13,14,15)|, is
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|{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is equal to:
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If f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}|, then
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Let a ,b , c be the real numbers. The following system of equations in...
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A ,\ B are two matrices such that A B and A+B are both defined; sho...
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If omega is an imaginary cube root of unity, then the value of |(a,b o...
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If alpha, beta are non - real numbers satifying x^3-1=0 then the value...
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The value of the determinant |(-1,1,1),(1,-1,1),(1,1,-1)| is equal to
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In a third order determinant, each element of the first column consist...
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A root of the equation |[3-x,-6,3],[-6,3-x,3],[3,3,-6-x]|=0
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For positive numbers x, y and z, the numerical value of the determinan...
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Calculate the value of the determinant |{:(1,1,1,1),(1,2,3,4),(1,3,6,1...
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if Delta= |{:(3,,4,,5,,x),(4,,5,,6,,y),(5,,6,,7,,z),(x,,y,,z,,0):}|=0 ...
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If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...
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If a,b,and c are the side of a triangle and A,B and C are the angles o...
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If [ ] denotes the greatest integer less than or equal to the real num...
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The coefficicent of x in f(x) =|{:(x,1+sinx,cosx),(1, log(1+x),2),(x^2...
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The determinant |(cos C,tan A,0),(sin B,0,-tan A),(0,sin B,cos C)| h...
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Using the factor theorem it is found that a+b , b+ca n dc+a are three ...
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The value of |(a,a^(2) - bc,1),(b,b^(2) - ca,1),(c,c^(2) - ab,1)|, is
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