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The distance of the point P(1,-3) from t...

The distance of the point `P(1,-3)` from the line `2y-3x=4` is

(A) 13
(B) `(7)/(13)sqrt(3)`
(C) `sqrt(13)`
(D) `(7)/(13)`

A

13

B

`(7)/(13)sqrt(3)`

C

`sqrt(13)`

D

`(7)/(13)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ICSE-STRAIGHT LINES -Multiple Choice Questions
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  2. If p is the length of perpendicular from the origin on the line x/a+y/...

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  3. The distance of the point P(1,-3) from the line 2y-3x=4 is (A) 13 ...

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  4. The coordinates of the foot of the perpendicular from the point (2,3) ...

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  5. If a vertex of a square is at the point (1,-1) and one of its sides li...

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  6. The equations of the lines which pass through the point (3,-2) and are...

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  7. If the line x/a+y/b=1 passes through the points (2,-3) and (4,-5) then...

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  8. The equations of lines passing through the point (1,0) and at distance...

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  9. The distance between the lines y=mx+c(1) and y=mx+c(2) is

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  10. Equations of diagonals of the square formed by the lines x=0,y=0,x=1 a...

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  11. The point (4,1) undergoes the following two successive transformations...

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  12. The equation ax+by+c=0 represents a straight line

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  13. The ratio in which the line 3x+4y+2=0 divides the distance between the...

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  14. The tngent of angle between the lines whose intercepts on the axes are...

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  15. The number of straight lines which are equally inclined to both the ax...

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  16. The circumcentre of the triangle formed by lines x=0,y=0 and x+y-1=0 i...

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  17. The inclination of the line passing through the point (-3,6) and the m...

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  18. The equations of the line with slope -(3)/(2) and which is concurrent ...

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  19. If a+b+c=0 then the family of lines 3ax+by+2c=0 passes through the fix...

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  20. Write the value of theta in (0,\ pi/2) for which area of the triangle ...

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