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The algebraic sum of the perpendicular distances from `A(x_(1),y_(1)),B(x_(2),y_(2))` and `C(x_(3),y_(3))` to a variable line is zero, then the line passes through

A

the centroid of `DeltaABC`

B

the orthocentre of `DeltaABC`

C

the circumcentre of `DeltaABC`

D

the incentre of `DeltaABC`

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D
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AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-II Problems on normal form, symmetric from, perpendicular distances and Ratio) (LEVEL - I Straight objective Type Question)
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  8. If a line l passes through (k,2k)(3k,3k) and (3,1), k ne0, then the di...

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  9. One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2)...

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  10. In the isosceles triangle OAB, O is the origin, OA=OB=6. If the equati...

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  12. Distance of the origin from the line (1+sqrt3)y+(1-sqrt3)x=10 " along ...

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  13. If A(2,-1) and B(6,5) are two points the ratio in which the foot of th...

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  14. Let A(6,7), B(2,3), C(-2,1) vertices of a triangle. The point P in the...

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  16. The range of value of alpha " such that " (0,alpha) lie on or inside t...

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  17. If A(1,0), B(0,1) and P(x,y) are points such that xygt0 and x+ylt1, th...

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  18. The sides of a triangle are 3x+2y-6=0, 2x-3y+6=0, x+2y+2=0. P(0,b) is ...

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