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- Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8...
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- If Dk=|[1, n, n];[ 2k, n^2+n+1, n^2+n];[ 2k-1, n^2, n^2+n+1]|a n...
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- If p+-a, q+- b, r+-c and abs((p,b,c),(a,q,c),(a,b,r)) = 0 show that p...
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- If x1, x2 , x3 and y1 , y2 , y3 are both in G.P. with the same common ...
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- If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...
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- For a fixed positive integer n , if Delta=|[n !,(n+1)!,(n+2)!],[(n+1)!...
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- The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for
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- if f(alpha,beta)=|[cos alpha,-sin alpha,1],[sin alpha,cos alpha,1],[co...
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- If the lines ax+y+1=0, x+by+1=0, x+y+c=0, (a, b, c are distinct and no...
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- If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)+...+a(50).x^(50), then a(0)+a...
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- Find the value of lambda for which the homogeneous system of equations...
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- If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...
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- Let a ,b ,c be positive and not all equal. Show that the value of the ...
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- if f(x)=|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)...
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- Without expanding a determinant at any stage, show that abs((x^2+x ,x+...
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- The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b...
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- Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...
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- The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...
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- If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot
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- Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=...
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