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a^(2)x^(2)+2xy+9y^(2)=0 represent a pair...

`a^(2)x^(2)+2xy+9y^(2)=0` represent a pair of distinct lines then 'a' lies in

A

`[-(1)/(3),(1)/(3)]`

B

`(-(1)/(3),(1)/(3))`

C

`[-(1)/(2),(1)/(2)]`

D

`(-(1)/(2),(1)/(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -I
  1. a^(2)x^(2)+2xy+9y^(2)=0 represent a pair of distinct lines then 'a' li...

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  2. The equation 4x^(2)-12xy+9y^(2)=0 represents

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  3. If a:b: c=1:2:3 then the lines represented by ax^(2)+bxy+cy^(2)=0 are

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  4. The pair of lines 9x^(2)+y^(2)+6xy-9=0 are

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  5. If s and p are respectively the sum and the product of the slopes of t...

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  6. One of the lines of -3x^(2)+2xy+y^(2)=0 is parallel to lx+y+1=0 then l...

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  7. One of the lines of 3x^(2)+4xy+y^(2)=0 is perpendicular to lx+y+4=0 t...

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  8. The difference of the slopes of the lines 3x^(2)-4xy+y^(2)=0 is

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  9. The difference of the tangents of the angles made by the lines 3x^(2)-...

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  10. The difference of the slopes of the lines x^(2)(sec^(2) theta- sin^(2)...

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  11. The equation to the pair of lines passing through the point (-2, 3) an...

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  12. The equation on the pair of straight lines through the point (1, 1) an...

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  13. The equation of the pair of lines through (1, -1) and perpendicular to...

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  14. If the product of the perpendicular distances from (1, k) to the pair ...

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  15. Angle between the lines x^(2)[cos^(2) theta-1]-xy sin^(2) theta+y^(2) ...

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  16. The angle between the pair of lines y^(2)-xy"cosec" theta-x^(2)=0,0 le...

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  17. If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0 is...

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  18. If the pair of lines given by (x^(2)+y^(2))cos^(2) theta=(x cos theta+...

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  19. If the pair of lines a^(2)(x^(2)+y^(2))=(ax-by)^(2) are perpendicular...

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  20. If theta is the acute between the pair of lines x^(2)+3xy-4y^(2)=0 the...

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