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A straight line through the point (2,2) ...

A straight line through the point (2,2) intersects the line `sqrt(3)x+y=0` and `sqrt(3)x-y=0` at the points A and B respectively. If O be the origin and `DeltaOAB` be equilateral then the equation of the line AB is

A

`x+y-4=0`

B

`y-2=0`

C

`x-2=0`

D

None

Text Solution

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The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
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  2. The side AB of an isosceles triangle is along the axis of x with verti...

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  3. A straight line through the point (2,2) intersects the line sqrt(3)x+y...

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  4. The line ax+by+c=0 intersects the line x cos alpha+y sinalpha=c at the...

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  5. A line passes through (2,2) and is perpendicular to the line 3x+y=3 .I...

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  6. If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+c...

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  7. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

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  8. The points A(x,y), B(y, z) and C(z,x) represents the vertices of a rig...

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  9. If A(1,1),B(sqrt(3)+1,2) and C(sqrt(3),sqrt(3)+2) be three vertices of...

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  10. A(-2,4),B(-1,2),C(1,2) and D(2,4) are the vertices of a quadrilateral....

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  11. The four sides of a quadrilateal are given by xy(x-2)(y-3)=0. A line i...

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  12. The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0. The c...

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  13. The three lines 4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 form the sid...

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  14. The equation of the base of an equilateral triangle is x+y=2 and the v...

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  15. The distance between the lines 4x+3y=11 and 8x+6y=15 is

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  16. The distance between the lines 3x+4y=9 and 6x+8y=15 is

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  17. A variable point (1+(lamda)/(sqrt(2)),2+(lamda)/(sqrt(2)))lies in betw...

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  18. The sum of the abscissas of all the point on the line x+y=4 that lie a...

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  19. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

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  20. Points on the line x+y=4 that lie at a unit distance from the line 4x+...

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