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If the line x+y =5 divides the plane int...

If the line `x+y =5` divides the plane into two half planes, then the region containing the origin is represented by __________.

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The correct Answer is:
`x + y lt 5`
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PEARSON IIT JEE FOUNDATION-LINEAR EQUATIONS AND INEQUATIONS -TEST YOUR CONCEPTS (Very Short Answer Type Questions)
  1. The system of equations x+ y = 2, 4x+4y =8 is . (inconsistent/consiste...

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  2. If the equations 2x+ky =6 and px + 3y =3 are dependent, then the value...

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  3. If the perimeter of a rectangle is 10 cm and the difference between it...

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  4. The number of common solutions for 3x + 2y = 18 and 5x+4y =3 is .

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  5. If the cost of 5 apples and 3 bananas is ₹ 26 and that of 3 apples and...

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  6. The number of common solutions for 4x -4y -7 =0 and 16x - 16y = 35 is ...

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  7. If the cost of 3 apples and 4 mangoes is Rs. 50 and that of 6 apples a...

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  8. For all x, y and z in R, if x gt y and y gt z, then x gt z . This pro...

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  9. If x and y in R, then xcancel(gt) y can also be written as .

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  10. If x gt y, then x/z lt y/z for all x, y and z in R, where z lt 0. (Tr...

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  11. A true statement which contains the symbol lt or gt is called an .

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  12. The integral solution set of the inequations x gt -3 and x lt 2 is .

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  13. If the boundary line is inclined in the region, then the plane is call...

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  14. The point (6, 2) belongs to x+y le 0. (True/False)

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  15. ax + by+c gt 0 is the region which contains (0, 0) if and only if .

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  16. The solution set of 6x - 2 ge 3 is .

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  17. If x+y = p and x -y =q, then y is . (where p ltq)(positive/negative)

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  18. If (x-3)/(2) gt 0 then the value of x is .

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  19. By adding or subtracting any value to both sides of the inequality, in...

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  20. If the line x+y =5 divides the plane into two half planes, then the re...

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