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The distance from a point (alpha,beta) t...

The distance from a point `(alpha,beta)` to a pair of lines passing through the origin is d. Then the equation to the pair of lines is

A

`(alphax- betay)^(2)=d^(2)(x^(2)+y^(2))`

B

`(alphax+ betay)^(2)=d^(2)(x^(2)+y^(2))`

C

`(betax-alphay)^(2)=d^(2)(x^(2)+y^(2))`

D

`(betax+ alphay)^(2)=d^(2)(x^(2)+y^(2))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
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  3. The distance from a point (alpha,beta) to a pair of lines passing thro...

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  4. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

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  5. If the centriod of triangle formed by the lines 2y^(2)+5xy-3x^(2)=0 an...

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  6. If two sides of triangle are given by x^(2)-xy-6y^(2)=0 and the centro...

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  7. Centriod of triangle formed by lines 8x^(2)-14xy+5y^(2)=0, x-2y+3=0 is

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  8. The orthocentre of the triangle formed by the lines x+3y-10 and 6x^(2)...

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  9. the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)...

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  10. If x^(2)-3xy+2y^(2)=0 represents two sides of triangle and orthocentre...

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  11. The circumcentre of triangle formed by lines 2x^(2)-3xy-2y^(2)=0 and 3...

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

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  13. The orthocentre of triangle formed by lines xy+3x+3y+9 = 0 and the lin...

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  14. Orthocentre of triangle of which two sides are formed by lines 6x^(2)-...

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  15. The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are

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  16. Find the value of lambda for which the equation lambdax^(2) - 10xy + 1...

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  17. The value of lambda such that 2x^(2)-10xy+12y^(2)+5x+lambda y-3=0 repr...

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  18. If x^(2)+alpha y^(2)+2betay=a^(2) a represents a pair of perpendicula...

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  19. The point of intersection of the perpendiecular lines ax^(2)+3xy-2y^(2...

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  20. If the equation lambda x^(2)-5xy+6y^(2)+x-3y=0 represents a pair of st...

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