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A : The foot of the perpendicular from (...

A : The foot of the perpendicular from (3, 4) on the line `3x-4y+5=0` is `(81//25, 92//25) `
R : If (h, k) is the foot of the perpendicular from `(x_(1), y_(1))` to the line `ax+by+c=0` then `(h-x_(1))/(a)=(h-k_(1))/(b)=(-(ax_(1)+by_(1)+c))/(a^(2)+b^(2))`

A

`((81)/(25), (92)/(25))`

B

`((92)/(25), (81)/(25))`

C

`((46)/(25), (54)/(25))`

D

`((-81)/(25), (92)/(25))`

Text Solution

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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. If PM is the perpendicular from P(2,3) on to the lie x+y=3 the M=

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  2. The image of the line x+y-2=0 in the y-axis is

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  3. A : The foot of the perpendicular from (3, 4) on the line 3x-4y+5=0 is...

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  4. The foot of the perpendicular from (0, 0) to the line x cos alpha+y si...

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  5. Prove that the feet of the perpendicular from the origin on the lines ...

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  6. The image of the point (2, -1) w.r.t the point (1, -4) is

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  7. The image of the point (2, 1) w.r.t the line x+1=0 is

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  8. The image of the point (3, 4) w.r.t the line 3x+4y+5=0 is

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  9. The image of the point (3, 8) in the line x+3y=7 is

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  10. The coordinate of the image of the orgin O with respect to the straigh...

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  11. The reflection of the point (6, 8) in the line x = y is

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  12. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

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  13. If (-2, 6) is the image of the point (4, 2) with respect to the line L...

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  14. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

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  15. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

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  16. If the point (1, 2) is reflected through the origin and then through t...

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  17. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

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  18. If 2x-3y-5=0 is the perpendicular bisector of the line segment joining...

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  19. If x+3y=16 is the perpendicular bisector of bar(AB) and A(5, 7), then...

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  20. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

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