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A straight line through the point (2, 2) intersects the lines `sqrt3x + y = 0` and `sqrt3 x-y=0` at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is ,

A

x-2=0

B

y-2=0

C

x+y-4=0

D

None of these.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A triangle with vertices (2, 0), (- 1,- 1),(1,0) is :

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  2. The straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y - ...

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  3. A straight line through the point (2, 2) intersects the lines sqrt3x +...

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  4. Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...

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  5. The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...

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  6. Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

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  7. The equation of the chord joining two points (x1, y1) and (x2, y2) on ...

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  8. A square of side a lies above the X- axis and has one vertex at the or...

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  9. Find the slope of the tangent to the curve y=3x^4−4 at x = 4

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  10. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

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  11. If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 interse...

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  12. The normal at the point (bt1^2, 2bt1) on a parabola meets the parabola...

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  13. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

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  14. The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) i...

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  15. A square is formed by following two pairs of straight lines : y^2 -14...

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  16. The focal chord of y^2= 16x is tangent to (x-6)^2+ y^2= 2, then the po...

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  17. The area (in sq units) of the quadrilateral formed by the tangents at ...

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  18. Which one of the following is independent of alpha in the hyperbola (0...

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  19. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

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  20. The eccentricity of an ellipse, with its centre the origin, is 1/2. If...

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