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The line x + y = sqrt6, forms an equilat...

The line `x + y = sqrt6,` forms an equilateral triangle with the lines `x^2 - 4xy + y^2 = 0,` The perimeter of the triangle is :

A

`3sqrt(3)`units

B

`3` units

C

`2` units

D

`6` units

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

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  2. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

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  3. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

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  4. The line 3x - 4y + 5 = 0 and 3(3y + 4x)^2 - (3x – 4y)^2 = 0 forms a tr...

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  5. If the lines kx^(2)+6xy+2y^(2)=0 and x+3y=9 form an isosceles triangle...

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  6. Triangle formed by x^(2)-3y^(2)=0 and x=4 is

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  7. The triangle formed by the lines 10x^(2)+21xy-10y^(2)=0 and 7x+3y=4 I ...

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  8. the area formed by the lines x^2-y^2=0 and x+8=0 is

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  9. Show that the lines x^(2) - 4xy + y^(2) = 0 and x + y = 10 contain the...

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  10. Show that the lines x^2-4xy+y^2=0 and x+y=1 form an equilateral triang...

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  11. The coordinates of the orthocentre of the triangle formedby the lines ...

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  12. The area of the triangle formed by the lines 3x^(2)-4sqrt(2)xy+y^(2)=0...

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  13. If a + b = 2h, then the area of the triangle formed by the lines ax^2 ...

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  14. The length of each perpendicular side of an isoscele right angled tria...

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  15. Show that the straight lines x^2+4xy+y^2=0 and the line x-y=4 form a...

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  16. Show that straight lines (A^2-3b^2)x^2+8A Bx y(b^2-3A^2)y^2=0 form wit...

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  17. The area of triangle (in sq units) formed by the lines x^2- 4y^2 = 0 a...

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

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  19. The joint equation of pair of lines which bisects angle between the li...

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  20. The joint equation of bisectors of the angles between the lines given...

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