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In triangle A B C , if |1 1 1cotA/2cotB/...

In triangle `A B C` , if `|1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tanA/2tanA/2+tanB/2|` then the triangle must be a. equilateral b. isosceles c. obtuse angled`` d. none of these

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Triangle ABC is isosceles
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MOTION-DETERMINANTS -EXERCISE-3
  1. Show that | [a^2 +lambda, ab, ac], [ab, b^2+lambda, bc], [ac, bc, c^2+...

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  2. Prove that :|[a^2,b^2,c^2], [(a+1)^2, (b+1)^2, (c+1)^2], [(a-1)^2, (b-...

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  3. In triangle A B C , if |1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tan...

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  4. Prove that |{:(2,alpha+beta+gamma+delta,alphabeta +gammadelta),(alph...

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  5. Solve for x the equation |(a^(2),a,1),(sin(n+1)x,sin nx,sin(n-1)x),(...

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  6. Solve the following sets of equations using Cramer's rule and remark a...

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  7. Solve the following sets of equation using Cramers rule and remark a...

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  8. Solve the following sets of equation using Cramers rule and remark a...

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  9. For what value of K do the following system of equations poss...

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  10. Investigate for what values of lambda, mu the simultaneous equa...

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  11. Investigate for what values of lambda, mu the simultaneous equa...

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  12. . For what values of lambda and mu the system of equations x+y+z=6, x+...

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  13. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

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  14. Find the real values of r for which the following system of linear equ...

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  15. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

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  16. Ifthe equations a(y +z) =x , b(z+x) = y , c (x + y) = z have nontriv...

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  17. Given a=x//(y-z), b=y//(z-x),a n dc=z//(x-y),w h e r ex , y , za n dz ...

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  18. If sinq!=cosq and x,y,z satisfies the following three equations then f...

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  19. If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)...

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  20. Prove that all values of theta: |(sintheta, costheta, sin2theta),(sin(...

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