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Area of the triangle formed by the lines...

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

A

`5 sqrt(2)`

B

`(1)/(2 sqrt(5))`

C

`(2)/(sqrt(3))`

D

`(sqrt(3))/(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -I
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  2. Area of the triangle formed by the lines y^(2)-mxy=0 and x+y-m=0 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The length of x-intercept made by pair of lines 2x^(2)+xy-6y^(2)-2x+17...

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

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  18. The product of perpendiculars from origin to the pair of lines 12x^(2)...

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  19. The equation to the pair of lines passing through (1, 1) and parallel ...

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  20. The equation of the pair of lines through the point (a, b) parallel to...

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