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If A(2,-1) and B(6,5) are two points the...

If A(2,-1) and B(6,5) are two points the ratio in which the foot of the perpendicular from (4,1) to AB divides it is

A

`8:15`

B

`5:8`

C

`-5:8`

D

`-8:5`

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The correct Answer is:
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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  6. Distance between the parallel line (x+2y)^2+13sqrt5(x+2y)+180=0 is

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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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  11. If d1,d2,d3 " be perpendiculars from the points " A(x1,y1),B(x2,y2),C(...

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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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  15. If the point P(a^2,a) lies in the region corresponding to the acute an...

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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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  19. If 'm' and 'b' are real numbers with mbgt0, then the line whose equati...

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  20. If the point (a,a) is placed in between the lines abs(x+y)=4, then sum...

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