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The product of the perpendiculars from (...

The product of the perpendiculars from (f,-g) to the pair of st. line hxy+gxfy+c=0 is

A

`abs(fg)`

B

`abs((fg-c)/h)`

C

`abs(fgh-c)`

D

`abs((fgh-c)/h)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. If x^2+alphay^2+2betay=a^2 represents a pair of perpendicular lines, t...

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  2. If the equation of the pair of straight lines passing through the poin...

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  3. The product of the perpendiculars from (f,-g) to the pair of st. line ...

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  4. If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis...

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  5. The lengh of x-intercpt made by pair of lines 2x^2+xy-6y^2-2x+17y-12=0...

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  6. Length of y-intercept made by pair of lines 2x^(2)+lambda xy+3y^(2)+8x...

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  7. The circumcentre of triangle formed by lines xy + 2x + 2y + 4 = 0 and ...

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  8. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

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  9. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

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  10. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

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  11. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

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  12. The straight lines represented by (y-mx)^2=a^2(1+m^2) and (y-nx)^2 =a^...

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  13. If the equation 2hxy+2gx+2fy+c=0 represents two straight lines and for...

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  14. The distance between the parallel lines given by (x+7y)^(2) +4sqrt(2)(...

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  15. The condition for the equation x^2(lambda+mu)xy+lambdamuy^2+x+muy=0 to...

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  16. Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0. Represents...

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  17. Show that the following equations represents a pair of parallel lines ...

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  18. The angle between the lines joining the origin to the point of interse...

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  19. A pair of perpendicular straight lines passes through the origin and a...

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  20. Show that the lines joining the origin to the two points of intersecti...

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