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If a vertex of an equilateral triangle i...

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation `x+y=1`, then the orthocentre of te triangle is

A

`(1/2,1/2)`

B

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

C

`(1/3,1/3)`

D

`(2/3,2/3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. If 2x-3y-5=0 is the perpendicular bisector of the line segment joining...

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  2. If (-2, 6) is the image of the point (4, 2) with respect to the line L...

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  3. If a vertex of an equilateral triangle is the origin and the side oppo...

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  4. The quadrilateral formed by the lines sqrt(3)x+y=0,sqrt(3)y+x=0, sqrt(...

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  5. The angle between the diagonals of the parallelogram formed by the lin...

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  6. The area of the parallelogram formed by lines 2x-y+3=0, 3x+4y-6=0,2x-y...

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  7. The area of the figure formed by the lines x+-y+-a=0 is

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  8. The number of lines that can be drawn through the point (5,2) at a dis...

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  9. Statement I: The points (a,0),(0,b) and (1,1) will be collinear if 1/a...

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  10. Write the ascending order of areas of the triangles formed with coordi...

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  11. Observe the following list with respect to the line ax+by+c=0 Th...

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  12. The equation of the line perpendicular to the line 2x+3y-4=0 and passi...

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  13. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

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  14. A straight line which makes equal intercepts on positive X and Y axes ...

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  15. Normal form of the line x-y+sqrt(2)=0 is

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  16. The equation of the line passing through (2, 2) and having intercepts ...

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  17. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

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  18. The equation of the line passing through the point P(1, 2) such that P...

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  19. The line joining two points A(2,0),B(3,1) is rotated about A in anti c...

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  20. A square of side "a" lies above the x-axis and has one vertex at the o...

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