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If A , B ,a n dC are the angles of trian...

If `A , B ,a n dC` are the angles of triangle, show that the system of equations `xsin2A+ysinC + zsinB=0,xsinC+ysin2B+zsinA=0`and `xsinB + ysinA + zsin2C=0` posses nontrivial solution. Hence, system has infinite solutions.

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
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  2. If a x1^2+b y1^2+c z1^2=a x2 ^2+b y2 ^2+c z2 ^2=a x3 ^2+b y3 ^2+c z3 ^...

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  3. If A , B ,a n dC are the angles of triangle, show that the system of...

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  4. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  8. Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)...

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  9. Absolute value of sum of roots of the equation |[x+2,2x+3, 3x+4],[ 2x+...

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

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  11. The product of all values of t , for which the system of equations (a-...

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  13. Let omega=-1/2+i(sqrt(3))/2. Then the value of the determinant |(1,1,1...

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  14. Factorize: a x+b x+a y+b y +a x^2+b y^2+b x^2+a y^2 a^2+b c+a b+...

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  15. If g(x)=|[a^(-x),e^(x loge a),x^2],[a^(-3x),e^(3x loge a),x^4],[a^(-5x...

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  17. The value of |alpha| for which the system of equation alphax+y+z=...

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  18. Let D1=|[a, b, a+b], [c, d, c+d], [a, b, a-b]| and D2=|[a, c, a+c], [b...

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  19. Three distinct points P(3u^(2),2u^(3));Q(3v^(2),2v^(3)) and R(3w^(2),2...

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