Prove that |{:(b+c,c,b),(c,c+a,a),(b,a,...

Prove that `|{:(b+c,c,b),(c,c+a,a),(b,a,a+b):}|` = 4 abc

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Prove that : (i) |{:(a,c,a+c),(a+b,b,a),(b,b+c,c):}|=2 abc (ii) Prove that : |{:(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2)):}|=4a^(2)b^(2)c^(2)

Prove that |{:(b+c, c+a, a+b),(c+a, a+b,b+c),(a+b, b+c, c+a):}| =2(a+b+c)(ab+bc+ca-a^(2)-b^(2)-c^(2)).

Using properties of determinants Prove that |{:(a+b+c,,-c,,-b),(-c,,a+b+c,,-a),( -b,,-a,,a+b+c):}| = 2 (a+b) (b+c) (c+a)

Prove that |{:(a,b,c),(a^(2),b^(2),c^(2)),(b+c,c+a,a+b):}|=(a-b)(b-c)(c-a)(a+b+c)

Prove: |(a, b-c,c-b),( a-c, b, c-a),( a-b,b-a, c)|=(a+b-c)(b+c-a)(c+a-b)

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ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Subjective Type Questions)

Prove that |{:(b+c,c,b),(c,c+a,a),(b,a,a+b):}| = 4 abc
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Prove: |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3
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Find the value of determinant |[sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)],[...
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Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...
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Without expanding the determinant at any stage prove that |{:(-5,3+5i...
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Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...
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In a triangleABC, if |(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB...
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The value of |{:(betagamma,betagamma'+beta'gamma,beta'gamma'),(gammaal...
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If y=(u)/(v), where u & v are functions of 'x' show that v^(3)(d^(2)y)...
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Show that the determinant Delta(x) given by Delta(x) = |{:(sin(x+al...
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Evaluate |{:(.^(x)C(1),,.^(x)C(2),,.^(x)C(3)),(.^(y)C(1),,.^(y)C(2),,....
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(i) Find maximum value of f(x)=|{:(1+sin^(2)x,cos^(2)x,4sin2x),(sin...
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If f(x) = |[x^2-4x+6,2x^2+4x+10,3x^2-2x+16],[x-2,2x+2,3x-1],[1,2,3]| t...
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If |A| = 2 and A = | (2x, 6) , (5x, 1)| then find the value of x
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Show that in general there are three values of t for which the followi...
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Find dy/dx if y=13x-y^2
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If x, y, z are not all zero & if ax + by + cz=0, bx+ cy + az=0 & cx ...
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