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Find the value of a for which the li...

Find the value of `a` for which the lines `2x+y-1=0`, `a x+3y-3=0`, `3x+2y-2=0` are concurrent.

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CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

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

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  3. Find the value of a for which the lines 2x+y-1=0, a x+3y-3=0, 3x+2...

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  4. if f(alpha,beta)=|[cos alpha,-sin alpha,1],[sin alpha,cos alpha,1],[co...

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  5. If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct...

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  6. If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)+...+a(50).x^(50), then a(0)+a...

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

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  8. If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...

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  9. Let a ,b ,c be positive and not all equal. Show that the value of the ...

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

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  11. Without expanding a determinant at any stage, show that abs((x^2+x ,x+...

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  12. Prove that : |b c-c^2c a-^2a b-c^2c a-b^2a b-c^2b c-a^2a b-c^2b c-a^2c...

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

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  14. Let Delta = |{:(-bc,,b^(2)+bc,,c^(2)+bc),(a^(2)+ac,,-ac,,c^(2)+ac),(a^...

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

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

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  17. Consider the system linear equations in x ,y ,a n dz given by (sin3th...

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

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

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

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