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If the lines a(1)x+b(1)y=1,a(2)x+b(2)y=1...

If the lines `a_(1)x+b_(1)y=1,a_(2)x+b_(2)y=1,a_(3)x+b_(3)y=1,` are concurrent then the points `(a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3))`

A

forms equilateral triangle

B

forms right angled triangle

C

forms scalane triangle

D

lie on a straight line

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The correct Answer is:
D
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AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. The lines 2x+y-1=0, ax+3y-3=0, 3x+2y-2=0 are cuncurrent

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  2. If a ne b ne c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent ...

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  3. If the lines a(1)x+b(1)y=1,a(2)x+b(2)y=1,a(3)x+b(3)y=1, are concurrent...

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  4. If the lines x+ay=a=0, bx+y+b=0, cx+cy+1=0 (a,b,c being distinct and !...

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  5. If theta is the parameter, then the family of lines represented by (2c...

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  6. All the lines whose sum of reciprocals of intercepts is k will be conc...

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  7. Equation of the line belonging to the system 3x+2y-8+lamda(2x-5y+1)=0 ...

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  8. The orthocentre of the triangle formed by (0,0),(5,-1),(-2,3) is

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  9. The orthocentre of the triangle formed by the lines x+y+1=0,x-y-1=0,3x...

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  10. If the straight lines 2x+3y-1=0,x+2y-1=0 and ax+by-1=0 form a triangle...

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  11. The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0)...

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

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  13. The incentre of the triangle formed by the lines x+y=1,x=1,y=1 is

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  14. The centre of the triangle formed by the lines 4x+3y+10=0,5x-12y+26=0,...

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  15. Two sides of a triangle are y=m(1)x and y=m(2)x,m(1),m(2) are the root...

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  16. The orthocentre of triangle formed by (a cos alpha, a sin alpha),(a co...

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  17. The equation of the a straight line passing through the points (1,2) a...

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  18. A straight line passing through origin and inclined at 60^(@) to the l...

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  19. The vertices of a trianvle are A(-1,-7),B(5,1) and C(1,4). The equatio...

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  20. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

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