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- If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...
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- The values of k in R for which the system of equations x+k y+3z=0,k x...
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- A determinant of second order is made with the elements 0 and 1. Fi...
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- If a ,b , c are nonzero real numbers such that |[b c,c a, a b],[ c a, ...
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- Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[...
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- Consider the determinant f(x)=|[0,x^2-a, x^3-b], [x^2+a,0,x^2+c], [x^4...
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- Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|
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- Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...
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- If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a ...
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- Each question has four choices a, b, c and d, out of which only one is...
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- If a ,b ,c in R , then find the number of real roots of the equat...
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- Delta = |(a, a^2, 0),(1, 2a+b,(a+b)),(0, 1, 2a+3b)| is divisible by ...
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- Without expanding at any stage, prove that the value of each of the...
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- If a,b c(all positive)are the p th,q thand r th terms repectively of a...
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- If the entries in a 3xx3 determinant are either 0 or 1, then the grea...
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- The value of the determinant of n^(t h) order, being given by |[x, 1, ...
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- Prove that a!=0,|[x+a, x,x],[x,x+a,x],[x,x,x+a^2]|=0 represents a stra...
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- If a1b1c1,a2b2c2 and a3b3c3 are three digit even natural numbers and ...
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- If =|[a b c, b^2c,c^2b],[ a b c,c^2a, c a^2],[a b c, a^2b,b^2a]|=0,(a ...
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- The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z ar...
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