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The line parallel to the x-axis and pass...

The line parallel to the x-axis and passing through the intersection of the lines `a x+2b y+3b=0` and `b x-2y-3a=0` , where `(a , b)!=(0,0)` , is above the x-axis at a distance of 3/2 units from it above the x-axis at a distance of 2/3 units from it below the x-axis at a distance of 3/2 units from it below the x-axis at a distance of 2/3 units from it

A

Above the x-axis at a distance of `3/2` from it

B

Above the x-axis at a distance of `2/3` from it

C

Below the x-axis at a distance of `3/2` from it

D

Below the x-axis at a distance of `2/3` from it

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
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  2. The inclination of the line x-y+3=0 with the positive direction of x-a...

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  3. The line parallel to the x-axis and passing through the intersection o...

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  4. A straight line l with negative slope passes through (8,2) and cuts th...

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  5. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

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  6. What is the equation of the line mid way between the lines 3x-45y+12=0...

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  7. What is the equation of the line through (1, 2) so that the segment of...

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  8. The point (t^(2)+2t+5,2t^(2)+t-2) lies on the line x+y=2 for

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  9. Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...

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  10. If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

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  11. The perpendicular distance between the straight lines 6x+8y+15=0 and 3...

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  12. The locus of a point that is equidistant from the lines x+y - 2sqrt2 =...

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  13. If the line segment joining the points A(a,b) and B(c,d) subtends an a...

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  14. The angle between y=x+6 and y=sqrt(3)x+y is

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  15. If p be the length of the perpendicular from the origin on the straigh...

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  16. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

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  17. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  18. If 2p is the length of perpendicular from the origin to the lines x/a+...

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  19. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

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  20. The distance of the point (1,2,3) form the coordinate axes are A,B and...

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