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	Without expanding prove that `|{:(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)-ab):}|=0` (Doubtnut)  View
	Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ... (PW Solutions)  View
	By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(... (PW Solutions)  View
	without expanding the determinant prove that det (a a^2 bc , b b^2 ca , c c^2 ab )=det( 1 a a^3 ... (concepts \u0026 Methods)  View
	Without expanding the determinant, prove that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a... (Doubtnut)  View
	Without expanding the determinant , prove that |{:(a, a^(2),bc),(b,b^(2),ca),(c,c^(2),ab):}|=|{:... (Doubtnut)  View
	Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[... (PW Solutions)  View
	Without expanding the determinant, prove that: \[ \left|\begin{array}{ccc} 1 u0026 a u0026 b c \\ 1 u0026 b ... (PW Solutions)  View
	Without expanding the determinant, prove that `|[a,a^2,bc],[b,b^2,ca],|Class 12 MATH | Doubtnut (Doubtnut ਪੰਜਾਬੀ)  View
	By using properties of determinants. Show that: (i) `|1a a^2 1bb^2 1cc^2|=(a-b)(b-c)(c-a)` (ii) ... (Doubtnut)  View