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The perpendicular distance from the poin...

The perpendicular distance from the point (1,-1) to the line x + 5y-9=0 is equal to

A

`sqrt((2)/(13))`

B

`sqrt((13)/(2))`

C

`(13)/(2)`

D

`(2)/(13)`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the slope of the line joining the points (3, 4) and (-2, a) is eq...

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  2. The equation of the line perpendicular to the line 2x – 3y + 5 = 0 an...

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  3. The perpendicular distance from the point (1,-1) to the line x + 5y-9...

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  4. The angle between the lines 2x+11y-7=0 and x + 3y + 5 = 0) is equal t...

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  5. The distance between the parallel lines 5x - 12y - 14 = 0 and 5x - 12...

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  6. The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 a...

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  7. Let O be the origin and A be the point (64,0). If P, Q divide OA in t...

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  8. The locus of a point which is equidistant from the points (1, 1) and ...

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  9. The value of a for which the points (9, 5), (1, 2), (a, 8) are colline...

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  10. A straight line with slope 3 intersects a straight line with slope 6 ...

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  11. If the equation 3x + 3y + 5 = 0 is written in the form x cos alpha + ...

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  12. The points on the line x + y = 4 lying at a unit distance from the li...

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  13. If the straight lines y = 2x, y = 2x + 1, y= -7x, y= -7x+ 1 form a pa...

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  14. The number of solutions for the system of equations 2x + y = 4, 3x + ...

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  15. The points (2, 5) and (5, 1) are the two opposite vertices of a recta...

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  16. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

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  17. The ratio by which the line 2x + 5y- 7 = 0 divides the straight line ...

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  18. If p is the length of the perpendicular from the origin to the line w...

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  19. A straight line perpendicular to the 2x + y = 3 is passing through (1...

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  20. If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin ...

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