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The area of the equilateral triangle for...

The area of the equilateral triangle formed by the pair of lines passing through the origin with the line x-y+1=0 is

A

1

B

`(5)/(sqrt3)`

C

`(1)/(2sqrt3)`

D

`(2)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. The line 3x-4y+5=0 and pair of straight lines 3(3y+4x)^(2)-(3x-4y)^(2...

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  2. The triangle formed by x^(2)-3y^(2)=0 and the line x=a is

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  3. The area of the equilateral triangle formed by the pair of lines passi...

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  4. The point of intersection of the pair of lines represented by 2x^(2)+5...

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  5. If xy+x+y+1=0,x+ay-3=0 are concur rent then a =

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  6. If (1, k) is the point of intersection of the lines given by 2x^(2)+5x...

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  7. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

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  8. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

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  9. The acute angle between the pair of lines2x^(2)+5xy+2y^(2)-17x-19y+35=...

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  10. The acute angle between the pair of lines xy+3x+3y+9=0 is

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

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

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

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

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  15. 2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid...

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

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

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

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

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

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