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Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c...

Solve: `a x+b y=c ,\ \ \ \ b x+a y=1+c`

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Prove that: |a b a x+b y b c b x+c y a x+b y b x+c y0|=(b^2-a c)(a x^2+2b x y+c y^2) .

Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b z+c y],[c x+a z, b z+c y, c z-a x-b y]|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot

Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c x+a z b z+c y c z-a x-b y|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot

Let a ,b ,c be real numbers with a^2+b^2+c^2=1. Show that the equation |a x-b y-c b x-a y c x+a b x+a y-a x+b y-cc y+b c x+a c y+b-a x-b y+c|=0 represents a straight line.

If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a y]|=x y z|[a, b, c],[c ,a ,b],[b ,c ,a]|

Solve: x+y=a+b ; a x-b y=a^2-b^2

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RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. Solve the following system of equations in x and y (a-b)x+(a+b)y=a...

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  2. Solve the following system of equations in x and y : a/x-b/y=0,\ \ ...

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  3. Solve: a x+b y=c ,\ \ \ \ b x+a y=1+c

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  4. Solve the following system of equations: x+y=a+b ,\ \ \ \ a x-b y=a...

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  5. Solve the following system of equations by method of cross-multipli...

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  6. Solve the following system of equations by method of substitution: 3...

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  7. Solve the following system of equations by method of cross-multipli...

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  8. Solve the following system of equations by method of cross-multipli...

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  9. Solve the following system of equations by method of cross-multipli...

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  10. Solve the following system of equations by method of cross-multipli...

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  11. Solve the following system of equations by method of cross-multipli...

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  12. Solve the following system of equations by method of cross-multipli...

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  13. Solve the following system of equations by method of cross-multipli...

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  14. Solve the following system of equations by method of cross-multipli...

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  15. Solve the following system of equations by method of cross-multipli...

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  16. Solve the following system of equations by method of cross-multipli...

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  17. Solve the following system of equations by method of cross-multipli...

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  18. Solve the following system of equations by method of cross-multipli...

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  19. Solve the following system of equations by method of cross-multipli...

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  20. Solve the following system of equations by method of cross-multipli...

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