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If one vertex of an equilateral triangle...

If one vertex of an equilateral triangle of side a lies at the origin and the other lies on the line `x=sqrt(3)y` then the third vertex is

A

(a,0)

B

(-a,0)

C

(0,a)

D

(a,a)

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. The distance of the point (2,3) from the line 2x-3y+9=0 measured along...

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  2. A straight line L is drawn through the point A(2,1) is such that its p...

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  3. If one vertex of an equilateral triangle of side a lies at the origin ...

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  4. A(-1,1)B(5,3) are the opposite vertices of a square. Perpendicular dis...

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  5. The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...

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  6. The perpendicular distance from origin to the line passing through P(...

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  7. The equation of the perpendicular bisector of a line segment bar(AB) i...

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  8. The equation to the base of a equilateral triangle is x+y=2 and one ve...

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  9. If P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9, then t...

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  10. If the base of an isosceles triangle is of length 2P and the length of...

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  11. The coordinate axes are roted about the origin O in the counterclockwi...

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  12. If p(1),p(2) are the perpendicular distance from the origin to the two...

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  13. The algebraic sum of the perpendicular distances from A(x(1),y(1)),B(x...

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  14. If p and q are the perpendicular distances from the origin to the stra...

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  15. If a line I passes through (k, 2k), (3k , 3k) and (3,1), k ne 0, then ...

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  16. If the points (1,2) and (3,4) were to be on the opposite side of the l...

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  17. Let O be the origin A(3, -2), B(1, 2) and C(1, 1). The pair of points ...

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  18. A line L cuts the sides AB, BC of Delta ABC in the ratio 2:5, 7:4 res...

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  19. Let ABC be a triangle. If P is a point such that AP divides BC in the ...

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  20. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

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