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Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find...

Let `|(3,y), (x,1)|`=`|(3,2), (4,1)|` . Find possible values of x and y are natural numbers.

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
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  2. If [] denotes the greatest integer less than or equal to the real numb...

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  3. Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find possible values of x and y ar...

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  4. If |[x-2,-3],[3x,2x]|=3 find the value of x

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  5. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

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  6. Find the minors and cofactors of elements of the matrix A=[a(i j)]=[[1...

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  8. If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot

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  9. Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...

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  10. The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...

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  11. The number of distinct real roots of |(cosecx,secx,secx),(secx, cosecx...

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  12. Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...

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  13. A triangle has its three sides equal to a , b and c . If the coordina...

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  14. Solve the following system of equations using Cramers rule. 5x-7y+z=1...

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  18. |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A)...

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  19. Prove that identities: |[-bc,b^2+bc,c^2+bc],[a^2+ac,-ac,c^2+ac],[a^2+...

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  20. Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=...

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