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MODERN PUBLICATION-DETERMINANTS-EXERCISE
- Using properties of determinants, prove that: |[3a,-a+b,-a+c],[-b+a,3b...
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- Solve for x":"|(a+x,a-x,a-x),(a-x,a+x,a-x),(a-x,a-x,a+x)|=0
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- Solve the equation |(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64)...
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- Prove that the determinant |[x,sintheta,costheta],[-sintheta,-x,1],[co...
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- Using properties of determinants, show that: |[[(b+c)^2, a^2, a^2],[b^...
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- Prove that |((b+c)^2,ab,ca),(ab,(a+c)^2,bc),(ac,bc,(a+b)^2)|=2abc(a+b...
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- If a, b, c are positive and unequal, show that value of the determinan...
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- Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b...
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- Prove that: |[1,1+p,1+p+q],[2,3+2p,4+3p+2q],[3,6+3p,10+6p+3q]|=1
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- Prove that: |[x+y,x,x],[5x+4y,4x,2x],[10x+8y,8x,3x]|=x^3.
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- Prove that : {:|(a^2a^2-(b-c)^2,bc),(b^2,b^2-(c-a)^2,ca),(c^2,c^2-(a-b...
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- If p,q,r are not in G.P. and {:|(1,q/p,alpha+q/p),(1,r/q,alpha+r/q),...
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- Using determinant , find the area of triangle with verticles (1,0) ,...
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- Using determinants find the area of triangle with vertices (1,-1), ...
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- Find the area of the triangle with vertices at the points given in eac...
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- Find area of the triangle with vertices at the point given in the fol...
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- Find area of the triangle with vertices at the point given in the fol...
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- Using determinants, show that the following points are collinear: (1...
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- Using determinants, show that the following points are collinear: (-...
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- If the point (3,-2),(x,2),(8,8) are collinear, find 'x' using determin...
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