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On comparing the ratios (a1)/(a2),(b1)...

On comparing the ratios `(a_1)/(a_2),(b_1)/(b_2)` and `(c_1)/(c_2)` , and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide: (i)`5x-4y+8=0;\ \ \ \ 7x+6y-9=0` (ii) `9x+3y+12=0;\ \ \ 18 x+6y+24=0` (iii) `6x-3y+10=0;\ \ \ 2x-y+9=0`

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On comparing the ratios (a_1)/(a_2),(b_1)/(b_2) and (c_1)/(c_2) , find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x+2y=5; 2x-3y = 7 (ii) 2x-3y=8 ; 4x-y=9 (iii) 3/2x+5/3y=7 ; 9x-10y=14 (iv) 5x-3y=11 ; -10x+6y = -22 (v) 4/3 x +2y=8 ; 2x+3y = 12

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By the graphical method, find whether the following pair of equations are consistent of not. If consistent, solve them. (i) 3x + y + 4 = 0, 6x - 2y + 4 = 0 (ii) x - 2y = 6, 3x - 6y = 0 (iii) x + y = 3, 3x + 3y = 9

Express the following linear equations in the form a x+b y+c=0 and indicate the values of a, b and c in each case: (i) 2x+3y=9. 3 bar5 (ii) x-y/5-10=0 (iii) -2x+3y=6 (iv) x=3y (v) 2x=-5y (vi) 3x+2=0 (vii) y-2=0

Find value of x and y: (5x-4y+8=0),(7x+6y-9=0)

Find value of x and y: (5x-4y+8=0),(7x+6y-9=0)

Find the equation of a straight line through the point of intersection of the lines 4x-3y=0\ a n d\ 2x-5y+3=0 and parallel to 4x+5y+6=0.

RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. The path of a train A is given by the equation 3x+4y-12=0 and the p...

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  2. Gloria is walking along the path joining (-2,\ 3) and (2,\ -2) whil...

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  3. On comparing the ratios (a1)/(a2),(b1)/(b2) and (c1)/(c2) , and with...

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  4. Given the linear equation 2x+3y-8=0 , write another linear equat...

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  5. The cost of 2kg of apples and 1 kg of grapes on a day was found to ...

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  6. Use a single graph paper and draw the graph of the following equati...

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  7. Draw the graphs of the following equations on the same graph paper:...

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  8. Solve the following system of equations graphically: x+y=3;\ \ \ 2x...

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  9. Solve the following system of equations graphically: x-2y=5;\ \ \ 2...

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  10. Solve the following system of equations graphically: 3x+y+1=0;\ \ \...

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  11. Solve the following system of equations graphically: 2x+y-3=0;\ \ \...

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  12. Solve the following system of equations graphically: x+y=6;\ \ \ x-...

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  13. Solve the following system of equations graphically: x-2y=6;\ \ \ 3...

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  14. Solve the following system of equations graphically: x+y=4;\ \ \ 2x...

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  15. Solve the following system of equations graphically: 2x+3y=4;\ \ \ ...

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  16. Solve the following system of equations : 2x-3y+13=0;\ \ \ 3x-2y+12=...

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  17. Solve the following system of equations graphically: 2x+3y+5=0;\ \ ...

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  18. Show graphically that following system of equations has infinitely ...

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  19. Show graphically that following system of equations has infinitely ...

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  20. Show graphically that following system of equations has infinitely ...

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