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If x^2+alphay^2+2betay=a^2 represents a ...

If `x^2+alphay^2+2betay=a^2` represents a pair of perpendicular lines, then beta=

A

a

B

2a

C

3a

D

4a

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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)
  1. The equation x^2-5xy+py^2+3x-8y+2=0 represents a pair of straight line...

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  2. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines then...

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  3. If x^2+alphay^2+2betay=a^2 represents a pair of perpendicular lines, t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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