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Show that the lines x^(2) - 4xy + y^(2) ...

Show that the lines `x^(2) - 4xy + y^(2) = 0` and `x + y = 10` contain the sides of an equilateral triangle.

A

`(100)/(sqrt(3))` sq.units

B

`(75)/(sqrt(3))` sq.units

C

`(50)/(sqrt(3))` sq.units

D

`(25)/(sqrt(3))` sq.units

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
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  3. Show that the lines x^(2) - 4xy + y^(2) = 0 and x + y = 10 contain the...

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

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

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

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

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

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

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

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

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

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

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  15. If the lines x^(2)+2hxy-y^(2)=0 bisect the angle between the lines 2x^...

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  16. If 7x^(2)-kxy-7y^(2)=0 represents the joint equation of the bisectors ...

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  17. The pair of lines h(x^(2)-y^(2))+pxy=0 bisects the angle between the p...

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  18. If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...

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  19. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

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  20. The product of lenghts of the perpendicular from point (2, 3) on the l...

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