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

A straight line through the point `(2,2)` intersects the lines `sqrt(3)x+y=0` and `sqrt(3)x-y=0` at the point `A` and `B ,` respectively. Then find the equation of the line `A B` so that triangle `O A B` is equilateral.

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  3. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  5. If the foot of the perpendicular from the origin to a straight line is...

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  6. Two sides of a triangle are parallel to the coordinate axes. If the ...

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  7. The diagonals A C and B D of a rhombus intersect at (5,6). If A=(3,2),...

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  8. A line which makes an acute angle theta with the positive direction of...

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  9. Find the values of non-negative real number h1, h2, h3, k1, k2, k3 suc...

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  10. The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 a...

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  11. If a and b are two arbitrary constants, then prove that the straight l...

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  12. Statement 1: The incenter of a triangle formed by the lines xcos(pi/...

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  13. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

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  14. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

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  15. In triangle A B C , the equation of the right bisectors of the sides A...

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  16. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  17. Show that the straight lines given by x(a+2b)+y(a+3b)=a for different ...

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  18. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

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  19. Let a x+b y+c=0 be a variable straight line, whre a , ba n dc are the ...

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  20. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

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