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If varphi(alpha,beta)=|cosalpha-s inalph...

If `varphi(alpha,beta)=|cosalpha-s inalpha1s inalphacosalpha1"cos"(alpha+beta)-sin(alpha+beta)1|` , then `f(300 , 200)=f(400 , 200)` `f(200 , 400)=f(200 , 600)` `f(100 , 200)=f(200 , 200)` none of these

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CENGAGE-DETERMINANTS-All Questions
  1. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  2. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

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  3. If varphi(alpha,beta)=|cosalpha-s inalpha1s inalphacosalpha1"cos"(alph...

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  4. If the lines a x+y+1=0,x+b y+1=0a n dx+y+c=0(a ,b ,c being distinct...

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  5. If (1 + ax + b x^2)^4 = a0 +a1 x + a2 x^2 +...+a8 x^8 when a,b,a0,a1,a...

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  6. Find the value of lambda for which the homogeneous system of equations...

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  7. If f,g,a n dh are differentiable functions of xa n d(x)=|fgh(xf)'(xg...

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  8. If, a,b,c are positive and unequal,show that value of the determinant ...

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  9. if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2)...

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  10. Without expanding a determinant at any stage, show that ||x^2+x ,x+1 ,...

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  11. Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^...

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  12. Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...

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  13. Show that |{:( 2bc-a^2 , c^2 ,b^2),(c^2 , 2ca-b^2 , a^2),(b^2 , a^2 , ...

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  14. If y=|sinxcosxsinxcosx-sinxcosxx1 1|=fin d(dy)/(dx)dot

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  15. Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=...

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  16. Consider the system of linear equations in x , ya n dz : ""(sin3theta...

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  17. Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...

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  18. If alpha,beta "and" gamma are real number without expanding at any sta...

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  19. If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...

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  20. If a=costheta+isintheta,b=cos2theta-isin2theta,c=cos3theta+i sin3theta...

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