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If the algebraic sum of the perpendicula...

If the algebraic sum of the perpendicular distances from the points (2,0),(0,2),(4,4) to a variable line is equal to zero. Then the line passes through the point.

A

(2,2)

B

(2,1)

C

(1,2)

D

(-1,-1)

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The correct Answer is:
A
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AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. If the point A is symmetric to the point B(4,-1) with respect to the b...

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  2. The locus of point of intersection of perpendicular straight lines whi...

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  3. If the algebraic sum of the perpendicular distances from the points (2...

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  4. If the acute angle between the lines 2x+3y-5=0, 5x+ky-6=0 is pi//4, th...

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  5. Angle between the lines sqrt(3)x+y+1=0, x+1=0 is

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  6. The angle between the lines formed by joining the points (2, -3), (-5,...

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  7. Slopes of the lines making an angle 45^(@) with the line x-2y=3 are

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  8. The orthocentre of the Delta^( l e) formed by (0,0), (8,0),(4,6) is

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  9. The orthocentre of the triangle formed by (1,-3),(6,1),(4,-1) is

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  10. The orthocentre of the triangle whose sides are given by 4x-7y+10=0,x+...

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  11. Circumcentre of the trianlge formed by the points (2,3),(0,1),(4,1) is

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

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  13. Foot of the perpendicular draw from (7,6) on y-axis is

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  14. Image of (2,3) w.r.t (0,0) is

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  15. Reflection of x=3 in y-axis is

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

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  17. If PM is the perpendicular from P(2,3) on to the lie x+y=3 the M=

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  18. The foot of the perpendicular drawn from (1,4) to a line L is (2,5), ...

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

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

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