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Let a,b,c be real numbers with a^(2) +...

Let a,b,c be real numbers with `a^(2) +b^(2) +c^(2)=1`. Then show that the equation
`|{:(ax-by-c,,bx+ay,,cx+a),(bx+ay,,-ax +by-c,,cy+b),(cx+a,,cy+b,,-ax-by+c):}|=0`
represents a straight line .

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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
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  2. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

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  5. Suppose f(x) is a function satisfying the following conditions: f(0)=...

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  6. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

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  7. Let a >0,d >-0. Find the value of the determinant |1/a1/(a(a+d))1/((a+...

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  8. For all values of A ,B ,Ca n dP ,Q ,R show that |"cos"(A-P)"cos"(A-Q)"...

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  9. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  11. Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integ...

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  12. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

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  13. Show that |[""^xCr, ""^x C(r+1),""^x C(r+2)],[""^y Cr,""^y C(r+1),""^y...

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  14. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

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  15. " If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x...

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  16. Let a , b and c be positive and not all equal. Show that the va...

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  17. about to only mathematics

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  18. Let lambda and alpha be real. Then the numbers of intergral values ...

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  19. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

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