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The perpendicular distance between the s...

The perpendicular distance between the straight lines `6x+8y+15=0` and `3x+4y+9=0` is

A

`3/2` units

B

`3/10` unit

C

`3/4` unit

D

`2/7` unit

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
  1. Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the tangent of the angel between the lines whose intercepts n the...

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  14. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  15. Number of lines that can be drawn through the point (4,-5) so that its...

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  16. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

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  17. If p(1) and p(2) are the lengths of the perpendicular form the orgin t...

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  18. A point moves so that the distance between the feet ofperpendiculars d...

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  19. The range of value of alpha such that (0,alpha) lies on or inside the ...

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  20. If P is a point (x ,y) on the line y=-3x such that P and the point (3,...

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