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Equation of pair of lines through (0,0) ...

Equation of pair of lines through (0,0) and forming an equilateral triangle with the line `x-3y+4=0` is

A

`23x^(2)+3y^(2)-8xy=0`

B

`13x^(2)-3y^(2)+12xy=0`

C

`23x^(2)+3y^(2)-16xy=0`

D

`23x^(2)+3y^(2)++48xy=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -I
  1. The equation of pair of angular bisectors of (a-b)x^(2)+4hxy-(a-b)y^(2...

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  2. If one angular bisector of a(x+1)^(2)+2h(x+1)(y-3)+b(y-3)^(2)=0 is 2x-...

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  3. Equation of pair of lines through (0,0) and forming an equilateral tri...

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  4. Equation of pair of lines passing through origin and making an angle T...

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  5. Area of the triangle formed by the lines 3x^(2)-4xy+y^(2)=0, 2x-y=6 is

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  6. The area of the triangle formed by the lines x^(2)-9xy+18y^(2)=0 and t...

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  7. Area of the triangle formed by the lines y^(2)-mxy=0 and x+y-m=0 is

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  8. Area of the triangle formed by the lines x^(2)-3xy+y^(2)=0 and x+y+1=0

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  9. If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...

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  10. The area of the equilateral triangle formed by the lines x^(2)-3y^(2) ...

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  11. The area of the equilaterial triangle formed by the pair of lines (ax+...

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  12. The area of an equilateral triangle formed by the lines passing throug...

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  13. The equation of the pair of perpendicular lines passing through origin...

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

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  15. If the pair of straight lines xy - x - y + 1 = 0 and the line ax+2y-3 ...

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  16. The acute angle between the pair of lines 2x^(2)+5xy+2y^(2)+3x+3y+1=0 ...

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  17. The angle between the pair of lines 2(x+2)^(2)+3(x+2)(y-2)-2(y-2)^(2)=...

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  18. The equation x^(2)+(lambda+mu)xy+lambda mu y^(2)+x+mu y=0 represents t...

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  19. The distance between the pair of parallel lines represented by x^(2) +...

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

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