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If the pair of line ax^2+2hxy+by^2+2gx+2...

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

A

`2fgh=bg^2+ch^2`

B

`bg^2nech^2`

C

`abc=2fgh`

D

`2fgh=af+ch^2`

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
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  2. The product of the perpendiculars from (f,-g) to the pair of st. line ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Let PQR be right angled isoscles triangle right angled at P (2,1). If ...

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