Prove, using Properites of determinants,...

Prove, using Properites of determinants,
`{:|(a+bx^2,c+dx^2,p+qx^2),(ax^2+b,cx^2+d,px^2+q),(u,v,w)|=(x^4-1){:|(b,d,q),(a,c,p),(u,v,w)|`

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Prove that |(a+bx ,c+dx,p+qx),(ax + b, cx +d, px +q),(u,v,w)|= (1- x^3) |(a,c,p),(b,d,q),(u,v,w)|

Prove that Delta ={:|( a+bx,c+dx,p+qx),( ax+b,cx+d,px+q),(u,v,w) |:}=( 1-x^(2)) {:|( a,c,p),(b,d,q),(u,v,w)|:}

Using Properties of determinants, prove that: {:|(b+c,c+a,a+b),(q+r,r+p,p+q),(y+z,z+x,x+y)|=2{:|(a,b,c),(p,q,r),(x,y,z)|

Using the property of determinants prove that {:|( 1,1+p,1+p+q),( 2,3+2p,1+3p+2q),( 3,6+3p,1+6p+3q)|:}=1

Using the property of determinants and without expanding {:|( b+c,q+r,y+z),( c+a,r+p,z+x),( a+b,p+q,x+y) |:}=2 {:|(a,p,x),( b,q,y),(c,r,z)|:}

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

If a,b,c are A.P then the value of the determinant |(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)|

If a, b,c are in A.P., then the value of the determinant |(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)| is :

|(b+c, q+r, y+z),(c+a,r+p,z +x),(a+b,p+q,x+y)|=2|(a,p,x),(b,q,y),(c,r,z)|

Show that |(x,p,q),(p,x,x),(q,q,x)| = (x - p)(x^(2) + px - 2q^2)

OSWAAL PUBLICATION-DETERMINANTS-TOPIC -1 DETERMINANTS, MINORS & COFACTORS (LONG ANSWER TYPE QUESTIONS-I)

Prove that : |{:(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab):}|=(a-b)(b-c)(c...
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Find the equation of the line joining A( 1,3) and B (0,0) using det...
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Using properties of determinants, prove the following: |xx+y x+2y\...
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Using properties of determinants, prove the following: |alphabetag...
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15. Using properties of determinants, prove the following |[a,b,c],[a-...
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[[b+c,a-b,a],[c+a,b-c,b],[a+b,c-a,c]] = 3abc - a^3 - b^3 - c^3
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Prove that |[a^2, a^2-(b-c)^2, bc],[b^2, b^2-(c-a)^2, ca],[c^2, c^2-(...
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Prove that |(a,b-c,c+b),(a+c,b,c-a),(a-b,b+a,c)|=(a+b+c)(a^(2)+b^(2)...
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Using properties of determinants, prove that |b+c q+r y+z c+a r+p ...
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Using the Properties of determinants, prove that following: {:|(-a^2...
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Using the Properties of determinants, prove the following: {:|(1,1...
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If |{:(x,x^2,1+x^3),(y,y^2,1+y^3),(z, z^2,1+z^3):}|=0 and x, y, z are ...
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Using properties of determinants, solve the following for x: |x-2 ...
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Using Properties of determinants, solve the following for x: {:|(x+a...
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Prove, using properties of determinants: |y+k y y y y+k y y y y+k|=k^...
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|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=2(3abc-a^(3)-b^(3)-c^(3))
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Prove, using Properites of determinants, {:|(a+bx^2,c+dx^2,p+qx^2),(...
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