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The condition that the lines ax+hy+g=0, ...

The condition that the lines `ax+hy+g=0, hx+by+f=0, gx+fy+c=0` to be con-current is

A

`a+h+g=0`

B

`g+f+c=0`

C

`abc+2fgh-af^(2)-bg^(2)-ch^(2)=0`

D

`abc=2fgh`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
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  2. If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k =

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  3. The condition that the lines ax+hy+g=0, hx+by+f=0, gx+fy+c=0 to be con...

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  4. If a+b+c=0 the straight line 2ax+3by+4c=0 passes through the fixed poi...

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  7. If the distance from the origin to the line ax+by+5=0 is5/(sqrt(10)), ...

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  8. P and Q are two points on the line x-y+1=0, If OP=OQ=6 then length of...

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  9. The equation of the base of ann equilateral triangle is 3x-4y+15=0 and...

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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 the straight line 3x+4y=8 is equidistant from (2,3) and (-4,a) then...

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  12. If the point A is symmetric to the point B(4,-1) with respect to the b...

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

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

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

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

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

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

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

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

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