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If lamdax^(2)+6xy+9y^(2)+4x+12y+3=0 repr...

If `lamdax^(2)+6xy+9y^(2)+4x+12y+3=0` represents a pair of straight liens then `lamda`=

A

`-3`

B

`-4`

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. The acute angle between the pair of lines xy+3x+3y+9=0 is

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

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  3. If lamdax^(2)+6xy+9y^(2)+4x+12y+3=0 represents a pair of straight lien...

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  4. If the equation 2xy + gx + fy + 5 = 0 repre sents a pair of lines, the...

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  5. If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centri...

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  6. 2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid...

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  7. Find the centroid and the area of the triangle formed by the lines 12x...

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  8. Orthocentre of the triangle formed by line 3x^(2)-xy-2y^(2)=0 and 2x+3...

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  9. Orthocentre of the triangle formed by lines 2x^(2)-3xy-2y^(2)=0 and 3x...

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  10. If two sides of a triangle lie along 3x^(2)-xy-2y^(2)=0 and its orthoc...

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  11. If 9x^(2)-24xy+ky^(2)-12x+16y-12=0 represents a pair of parallel lines...

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  12. If the equation 9x^(2)+24xy+by^(2)-12x+2fy-12=0 represents a pair of p...

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  13. If the distance between the pair of parallel lines x^(2)+2xy+y^(2)-8ax...

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  14. The length of the intercept on the x-axis cut by the pair of lines 2x^...

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  15. The length of the intercept on the y-axis cut by the pair of lines 2x^...

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  16. The product of perpendiculars from origin to the pair of lines 2x^(2)+...

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  17. The equation of the pair of lines passing through (3, 2) and perpendic...

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  18. The figure formed by the pairs of lines 12x^(2)+7xy-12y^(2)=0 and 12x^...

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  19. The figure formed by the pairs of lines 3x^(2)+10xy+3y^(2)=0 and 3x^(2...

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  20. The sides of a parallelogram are given by 6x^(2)+7xy+2y^(2)=0 and 6x^(...

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