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What are the conditions such that equati...

What are the conditions such that equations `a_1x +b_1y+c_1=0` and `a_2x+b_2y+c_2=0` have (i) unique solution (ii) No solution (iii) Infinite solution.

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TARGET PUBLICATION-LINEAR EQUATIONS IN TWO VARIABLES -Chapter Assessment
  1. What are the conditions such that equations a1x +b1y+c1=0 and a2x+b2y+...

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  2. A three digit number is equal to 17 times the sum of its digits. If 19...

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  3. To draw the graph of 6x + 7y = 19, find x when y =1

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  4. If 2x - 3y = 14 and 5x + 2y = 16 than

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  5. |{:(-11,2),(9, -4):}|=

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  6. If the difference between two numbers is 36 and one number is 4 times ...

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  7. Find the value of the following determinates: |{:(3, -11),(7,9):}|

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  8. Find the value of the following determinates: |{:(4/7,(-6)/35),(2,...

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  9. For simultaneous equations in variables x and y, if Dx = -14, Dy =7 an...

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  10. Complete the following table to draw graph of the equations.

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  11. There are some instructions given below. Freme the equations form the ...

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  12. Solve the following simultaneous equations. 2x+3y = -4, x-5 y =11

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  13. Solve the following simultaneous equations by Graphical method : 4x-...

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  14. Solve the following simultaneous equations by using Cramer's rule: ...

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  15. Solve the following simultaneous equations : 16/(x+y)+2/(x-y)=1, 8...

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  16. The permeter of an isosceles triangle is 24 cm. The length of its cong...

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  17. Out of 1900 km, Vishal travelled some distance by bus and some by aero...

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  18. Draw the graphs representing the equations 2x-y=2 and 4x+3y=24 on the ...

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  19. Sum of two numbers is 97. If the greater number is divided by the the ...

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  20. Draw the graph of the equation x+2y=4 and 3x + 6y =12. What do you obs...

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  21. Cramer's rule, what is the nature of solution if D = 0? Explain with t...

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