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If one vertex of an equilateral triangle...

If one vertex of an equilateral triangle of side a lies at the oringin an d the other lies on the line `x-sqrt(3)y=0`, the co ordinates of the third vertex are

A

(0,a)

B

`(sqrt(3)a//2,-a//2)`

C

`(0,-a)`

D

`(-sqrt(3)a//2,a//2)`

Text Solution

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The correct Answer is:
A, B, C, D
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(5)(MULTIPLE CHOICE QUESTIONS)
  1. The direction in which a straight line must be drawn through the point...

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  2. If the straight line drawn thriough the point P(sqrt(3),2) and making ...

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  3. Each side of a square of length 6 and its centre is at the point (4,5)...

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  4. A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0, andx-y-5=0...

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  5. The equation of the lines through the point (2,3) and making an interc...

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  6. A line is such that its segments between the straight lines 5x-y=4 and...

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  7. If one vertex of an equilateral triangle of side a lies at the oringin...

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  8. If the centroid and a vertex of an equilateral triangle are (2,3) and ...

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  9. The distance of the point (3,5) from the line 2x+3y-14=0 measured para...

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  10. A line is drawn from P(x(1),y(1)) in the direction theta with the x-ax...

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  11. The point A(2,1) is translated parallel to the line x-y=3 by a distanc...

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  12. The point P(1,1) is translated parallel to 2x=y in the first quadrant ...

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  13. If a line joining two points A(2,0),B(3,1) is rotated about A in antic...

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  14. If the line y-sqrt(3)x+3=0 cuts the parabola y^(2)=x+2 at A and B, the...

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  15. A straight line through the origin 'O' meets the parallel lines 4x +2y...

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  16. Two sides of a rhombus OABC (O being origin) lying entirely in first o...

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  17. The point P(2,1) is shifted through a distance 3sqrt(2) units measured...

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  18. A line making an angle theta with the +ive direction of x-axis passes ...

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