Show that [[x-3,x-4,x-alpha],[x-2,x-3,x-...

Show that `[[x-3,x-4,x-alpha],[x-2,x-3,x-beta],[x-1,x-2,x-gamma]]=0` where `alpha,beta,gamma` are in AP

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RD SHARMA ENGLISH-DETERMINANTS-All Questions

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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Show that |[x+1,x+2,x+a], [x+2,x+3,x+b],[ x+3,x+4,x+c]|=0 where a ,\ b...
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Show that [[x-3,x-4,x-alpha],[x-2,x-3,x-beta],[x-1,x-2,x-gamma]]=0 whe...
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If a ,\ b ,\ c are real numbers such that |(b+c,c+a ,a+b),( c+a,a+b,...
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a!=p , b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 the value of p/(p-...
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Show that x=2 is a root of the equation |(x,-6,-1),( 2,-3x,x-3),(-3,...
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Solve the following determinant equation: |[x+a, b, c], [c, x+b, a],...
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Solve the following: |[x+1, 3, 5], [2,x+2, 5], [2, 3,x+4]|=0
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Solve the following: |[1, 1,x], [p+1,p+1,p+x],[3,x+1,x+2]|=0
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If a ,b and c are all non-zero and |(1+a,1,1),( 1,1+b,1),(1,1,1+c)|=...
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Find the area of the triangle with vertices A\ (5,\ 4),\ \ B(-2,\ 4...
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Show that pointsA (a , b + c), B (b , c + a), C (c , a + b)are collin...
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If the points (a1, b1),\ \ (a2, b2) and (a1+a2,\ b1+b2) are collinear,...
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If the points (2,\ -3),\ (lambda,\ -1) and (0,\ 4) are collinear, find...
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Using determinants, find the area of the triangle whose vertices ar...
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Find the equation of the line joining A(1,\ 3) and B(0,\ 0) using d...
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If A(x1, y1),B(x2, y2)a n dC(x3,y3) are vertices of an equilateral tri...
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A triangle has its three sides equal to a , ba n dc . If the coordinat...
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Find the area of the triangle with vertices at the points: (3, 8), ...
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Find the area of the triangle with vertices at the points: (0, 0), ...
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