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The two equations a1x+b1y=k1 and a2x+b2y...

The two equations `a_1x+b_1y=k_1` and `a_2x+b_2y=k_2` will have unique solutions for x and y when

A

`|{:(a_1,b_1),(a_2,b_2):}| ne 0`

B

`|{:(a_1,k_1),(a_2,k_2):}| ne 0`

C

`|{:(k_1,b_1),(k_2,b_2):}| ne 0`

D

`|{:(a_1,b_1),(a_2,b_2):}| = 0`

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The correct Answer is:
A
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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2C
  1. The two equations a1x+b1y=k1 and a2x+b2y=k2 will have unique solutions...

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  2. If a inRR and the system of equations x+ay=0, az+y=0 , ax+z=0 has infi...

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  3. Given 2x-y+2z=2,x-2y+z=-4 and x+y+lambdaz =4 then the value of lambda ...

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  4. The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=...

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  5. Find the real values of lambda for which the following system of linea...

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  6. Find the real values of k for which the following system of linear eq...

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  7. Find the real values of k for which the following system of linear equ...

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  8. Find the real values of a for which the system of equations a^3x+(a+...

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  9. |{:(1,2,3),(4,5,6),(3,2,2):}|

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  10. |{:(2,3,4),(5,6,1),(3,2,3):}|

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  11. Using determinant : find the area of the triangle formed by joinin...

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  12. Using determinant : Show that the points (a,b+c),(b,c+a) and (c,a+b...

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  13. Using determinant : find the area of the triangle whose vertices ar...

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  14. Using determinant : show that the area of the triangle whose vertice...

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  15. Using determinant : Find the value of t for which the area of the t...

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  16. Using determinant : show that the points (a+1,a) ,(a,a+1) and [(a+1)...

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  17. Using determinant : show that the area of the triangle with vertices...

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  18. Eliminating x and y from the following equations, obtain the value of ...

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  19. Eliminate x,y and z from the following equations: (x)/(y+z)=a,y/(z+x...

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  20. Show that the following system of equations has no solution : x+2y...

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