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The algebraic sum of the perpendicular d...

The algebraic sum of the perpendicular distances from A, B, C to a variable line is 0. Then the line passes through

A

orthocentre of `DeltaABC`

B

centroid of `DeltaABC`

C

circumcentre of `DeltaABC`

D

incentre of `DeltaABC`

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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The perpendicular form of the line 3x+4y-5=0 is

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  2. The locus of the midpoint of the protion of the line x cos alpha+y si...

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  3. The algebraic sum of the perpendicular distances from A, B, C to a var...

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

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  5. A square of side "a" lies above the x-axis and has one vertex at the o...

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  6. The distance of the point (2,3) from the line 2x-3y+9=0 measured along...

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  7. The distance of the line 3x-y=0 from the point (4,1) measured along a ...

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  8. A line through (2, 3) makes and angle pi//4 with the positive directi...

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  9. If the straight line through the point P(3,4) makes an angle pi//6 wit...

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  10. The distance between the parallel lines 4x+3y+7=0, 12x+9y+1=0 is

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  11. The distance between the parallel lines 2x-y+3=0, 2x-y-4=0 is

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  12. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

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  13. The area (in square units) of the circle which touches the lines 4x+3y...

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  14. The lines x+2y-3=0, x+2y+7=0, 2x-y-4=0 form three sides of two squares...

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  15. The vetices of a triangle are O(0, 0), B(-3, -1), C(-1, -3). The equat...

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  16. The point on the line x+y+3=0 whose distance from x+2y+2=0 is sqrt(5) ...

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  17. If p1,p2 are the perpendicular distance from the origin to the two per...

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  18. The slope of a straight line passing through A(5, 4) is -5//12. The p...

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  19. A line passing through A(1, -2) has slope 1. The points on the line at...

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  20. A line is drawn through P(3, 4) inclined at an angle 3pi/4 with x-axis...

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