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SHIVLAAL PUBLICATION-सारणिक-विविध प्रश्नावली: सिद्ध कीजिए
- |(9,9,12),(1,-3,-4),(1,9,12)|=0
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- |(31,37,92),(31,58,71),(31,55,74)|=0
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- |(sin^(2)x,cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)|=0
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- |(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(sqrt(15)+sqrt(26),5,sqrt(10)),(3...
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- |(0,h,g),(-h,0,f),(-g,-f,0)|=0
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- |(x+lamda, x,x),(x,x+lamda,x),(x,x,x+lamda)|=lamda^(2)(3x+lamda)
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- |(1,1+ac,1+bc),(1,1+ad,1+bd),(1,1+ac,1+bc)|=0
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- |(a^(2)+1,b^(2),c^(2)),(a^(2),b^(2)+1,c^(2)),(a^(2),b^(2),c^(2)+1)|=1+...
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- |(b^(2)+c^(2),a^(2),a^(2)),(b^(2),c^(2)+a^(2),b^(2)),(c^(2),c^(2),a^(2...
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- |(1,1,1),(.^(n)C(1),.^(n+1)C(1),.^(n+2)C(1)),(.^(n)C(2),.^(n+1)C(2),.^...
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- |(alpha, beta, gamma),(alpha^(2),beta^(2),gamma^(2)),(beta+gamma, gamm...
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- |(a^(2),b^(2),c^(2)),((a+1)^(2),(b+1)^(2),(c+1)^(2)),((a-1)^(2),(b-1)^...
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- |((x+1)",",(x+2),(x+a)),((x+2)",",(x+3),(x+b)),((x+3)",",(x+4),(x+c))|...
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- |(x-3,x-4,x-alpha),(x-2,x-3,x-beta),(x-1,x-2,x-gamma)|=0 जहां alpha, b...
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- |(0,b^(2)a,c^(2)a),(a^(2)b,0,c^(2)b),(a^(2)c,b^(2)c,0)|=2a^(3)b^(3)c^(...
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- |(1,a^(2)+bc,a^(3)),(1,b^(2)+ca,b^(3)),(1,c^(2)+ab,c^(3))|=-(a-b)(b-c)...
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- |(a^(2),a^(2)-(b-c)^(2),bc),(b^(2),b^(2)-(c-a)^(2),ca),(c^(2),c^(2)-(a...
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- |(y+z,x,y),(z+x,z,x),(x+y,y,z)|=(x+y+z)(x-z)^(2)
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- |(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0)|=(b^(2)-ac)(ax^(2)+2bxy+cy^(2...
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