|(sin^(2) x,cos^(2) x,1),(cos^(2) x,sin^...

`|(sin^(2) x,cos^(2) x,1),(cos^(2) x,sin^(2) x,1),(- 10,12,2)| =`

`12 cos^(2) x -10 sin^(2)x`

`12 sin^(2) x - 10 cos^(2) x - 2`

`10 sin 2x`

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OBJECTIVE RD SHARMA-DETERMINANTS-Chapter Test

If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...
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If |(x +a,b,c),(a,x +b,c),(a,b,x +c)| = 0, then x equals
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|(sin^(2) x,cos^(2) x,1),(cos^(2) x,sin^(2) x,1),(- 10,12,2)| =
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The system of linear equations x + y + z = 2 2x + y -z = 3 3x + ...
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The roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) the...
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|(bc,bc'+b'c,b'c'),(ca,ca'+c'a,c'a'),(ab,ab'+a'b,a'b')| is equal to
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If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamm...
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One root of the equation |(3x-8, 3, 3),(3,3x-8, 3),(3,3,3x-8)|=0 is
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If a,b,c are non-zero real numbers then D=|[b^2 c^2, bc, b+c] , [c^2a^...
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If x, y , z are in A.P., then the value of the det (A) is , where A ...
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The value of |(b +c,a,a),(b,c +a,b),(c,c,a +b)|, is
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If a , b , c are non-zero real numbers and if the system of equations ...
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If a!=6,b,c satisfy|[a,2b,2c],[3,b,c],[4,a,b]|=0 ,then abc =
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The value of Delta = |(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4...
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The value of Delta = |(a,a +b,a +2b),(a +2b,a,a +b),(a +b,a +2b,a)| is...
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If all the elements in a square matrix A of order 3 are equal to 1 or ...
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The roots of the equation |(1,4,20),(1,-2,5),(1,2x,5x^(2))| = 0 are
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If f(x) = |(sin x,cos x,tan x),(x^(3),x^(2),x),(2x,1,1)|, " then " lim...
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If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...
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If |(x,2,3),(2,3,x),(3,x,2)|=|(1,x,4),(x,4,1),(4,1,x)|=|(0,5,x),(5,x,0...
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