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If the graph of the equation 4x+3y=12 cu...

If the graph of the equation `4x+3y=12` cuts the coordinate axes at `A and B` , then hypotenuse of right triangle `AOB` length is ?
(a) 4 units
(b) 3 units
(c) 5 units
(d) none of these

Text Solution

Verified by Experts

"the equation `4x+3y=12` cuts the coordinate axes at `A\ a n d\ B`
then from figure coordinates of A and B are (0,4),(0,3)
so in right traingle we have
hypotenous `AB^2=AO^2+BO^2`
`=4^2+3^2`
`AB=5`
so ans is ...
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RD SHARMA-LINEAR EQUATIONS IN TWO VARIABLES -All Questions
  1. Write the equation representing x-axis.

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  2. Write the equation which represents y axis.

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  3. Write the equation of a line passing through the point (0, 4) and pa...

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  4. Write the equation of a line passing through the point (3, 5) and pa...

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  5. Write the equation of a line parallel to y-axis and passing through ...

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  6. A line passes through the point (-4, 6) and is parallel to x-axis. Fin...

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  7. Solve the equation 3x-2=2x+3 and represent the solution on the numbe...

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  8. Solve the equation 2y-1=y+1 and represent it graphically on the coor...

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  9. If the point (a ,\ 2) lines on the graph of the linear equation 2x-3...

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  10. Find the value of k for which the point (1,\ -2) lies on the graph of ...

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  11. If (4, 19) is a solution of the equation y=a x+3, then a= (a) 3 ...

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  12. If (a ,\ 4) lies on the graph of equation 3x+y=10 , then the value of ...

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  13. The graph of the linear equation 2x-y=4 cuts x-axis at (a) (2,0) (b)...

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  14. How many linear equations are satisfied by x=2 and y=-3? (a) only on...

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  15. The equation x-2=0 on number line is represented by (a) a line (b) ...

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  16. x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b)  x+...

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  17. If (2k-1, k) is a solution of the equation 10 x-9y=12 , then k= (a) 1...

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  18. The distance between the graph of the equations x=-3 and x=2 is (a) ...

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  19. The distance between the graphs of the equations y=-1 and y=3 is: (...

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  20. If the graph of the equation 4x+3y=12 cuts the coordinate axes at A an...

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