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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
- If Delta1=|[a, b, c],[ x, y, z],[ p, q, r]| and Delta2=|[q,-b, y],[-p,...
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- Without expanding show that: =|cos e c^2thetacot^2theta1cot^2thetacos ...
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- Find the value of the determinant =|2 3 4 5 6 8 6x9x 12 x|dot
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- Without expanding evaluate the determinant |[41,1,5],[79,7,9],[29,5,3]...
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- Show that matrix |(1,a,b+c),(1,b,c+a),(1,c, a+b)|=0
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- Without expanding evaluate the determinant |(x^2+x^(-1))^2(a^2-a^(-1))...
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- If 1=|(1, 1, 1),(x^2,y^2,z^2),(x, y ,z)|a n d2=|(1 ,1, 1),(y z, z x,x ...
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- Without expanding show that |[b^2c^2,b c, b+c],[c^2a^2,c a ,c+a ],[a^2...
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- Without expanding evaluate the determinant |[sinalpha,cosalpha,sin(alp...
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- If A+B+C=pi, then the value of |[sin(A+B+C),sin(A+C),cosC],[-sinB,0...
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- If Ar=|[1,r,2^r],[2,n,n^2],[n,(n(n+1))/2, 2^(n+1)]|, the value of sum(...
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- If the determinant |[a,b,2aalpha+3b],[b,c,2balpha+3c],[2aalpha+3b,2bal...
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- If a , b , c are distinct, then the value of x satisfying |(0,x^2-a, x...
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- Using the factor theorem it is found that a+b , b+c and c+a are thr...
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- Let |(x^2+3x,x-1,x+3),(x+1,-2x x-4),(x-3,x+4 ,3x)|=a x^4+b x^3+c x^2+e...
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- If Dk=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,n^2,n^2+n+2]| and sum(k=1)^...
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- If Delta1=|(1, 1, 1),(a, b, c),( a^2,b^2,c^2)|,Delta2=|(1,bc, a),(1,ca...
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- The value of the determinant |(a^2,a,1),(cosn x,cos(n+1)x,cos(n+2)x),(...
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- Evaluate: (i) |(5 ,4),(-2, 3)| (ii) |(sintheta,costheta),(-costheta,s...
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- Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)| (ii) |(1,(log)b ...
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