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DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
- Let k be an integer such that the triangle with vertices (k ,-3k),(...
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- The coefficient of x in f (x) = |{:(x , 1 + sin x , cos x ),(1 , lo...
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- If a(n)=(1)/(n+1)+1 then find the vaue of a(1)+a(3)+a(5)
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- If [] denotes the greatest integer less than or equal to the real numb...
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- Prove that |{:(x^(2),,x^(2)-(y-z)^(2),,yz),(y^(2),,y^(2)-(z-x)^(2),,zx...
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- If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...
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- If m is a positive integer and Dr=|2r-1\ ^m Cr1m^2-1 2^m m+1s in^2(...
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- If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...
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- If omega is a non-real cube root of unity, then Delta = |(a(1) + b(1) ...
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- prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),...
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- Evaluate |{:(.^(x)C(1),,.^(x)C(2),,.^(x)C(3)),(.^(y)C(1),,.^(y)C(2),,....
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- If |{:(x^(n),x^(x+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...
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- The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2)...
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- The value of the determinant |{:(1 ,(5^(2x)-5^(-2x))^(2),(5^(2x)-5^(-2...
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- If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...
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- If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...
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- If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...
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- If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...
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- the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...
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- f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...
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- If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then
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