Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-...

`Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}|` is always …….

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A=[{:(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3)):}] and B=[{:(p_(1),q_(1),r_(1)),(p_(2),q_(2),r_(2)),(p_(3),q_(3),r_(3)):}] Where p_(i), q_(i),r_(i) are the co-factors of the elements l_(i), m_(i), n_(i) for i=1,2,3 . If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) and (l_(3),m_(3),n_(3)) are the direction cosines of three mutually perpendicular lines then (p_(1),q_(1), r_(1)),(p_(2),q_(2),r_(2)) and (p_(3),q_(),r_(3)) are

If l_(i)^(2)+m_(i)^(2)+n_(i)^(2)=1 , (i=1,2,3) and l_(i)l_(j)+m_(i)m_(j)+n_(i)n_(j)=0,(i ne j,i,j=1,2,3) and Delta=|{:(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3)):}| then

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KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs

A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...
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|{:(x+1,x^2+2,x^2+x),(x^2+1,x+1,x^2+2),(x^2+2,x^2+x,x+1):}|=ax^6+bx^5+...
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Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}| is always …….
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The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has ...
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The equations |{:(7,6,x),(2,x,2),(x,3,7):}|=0 has one root x = -9 then...
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If f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x^2-1))...
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-1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...
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If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then ...
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|{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........
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The sum of the cofator of the elements in second column in |{:(7,9,1),...
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|{:(sinx,cosx),(sinx,sinx):}|=|{:(cosx,cosx),(cosx,sinx):}|,x in(0,pi/...
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The equations of line passing through (-7,8) and (5,8) is ………
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If |{:(x,4,10),(5,2,5),(7,3,x):}|=0 then x in …………
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D=|{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}| then,
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The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero...
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If Delta1=|{:(x,b,b),(a,x,b),(a,a,x):}|and Delta2=|{:(x,b),(a,x):}| ar...
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If A is a square matrix and A^2=A" then |A|=……..
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|{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..
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