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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)

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The correct Answer is:
3
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The variable line x//a+y//b=1 is such that a+b=10. The locus of the mi...

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  2. The ends of a rod of length l move on two mutually perpendicu...

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

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  4. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

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  5. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

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  6. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

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  7. The perpendicular form of the line 3x+4y-5=0 is

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  8. The locus of the midpoint of the protion of the line x cos alpha+y si...

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  9. The algebraic sum of the perpendicular distances from A, B, C to a var...

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  10. If the algebraic sum of the perpendicular distances from the points (2...

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

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

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  13. The distance of the line 3x-y=0 from the point (4,1) measured along a ...

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  14. A line through (2, 3) makes and angle pi//4 with the positive directi...

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  15. If the straight line through the point P(3,4) makes an angle pi//6 wit...

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  16. The distance between the parallel lines 4x+3y+7=0, 12x+9y+1=0 is

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  17. The distance between the parallel lines 2x-y+3=0, 2x-y-4=0 is

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  18. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

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  19. The area (in square units) of the circle which touches the lines 4x+3y...

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  20. The lines x+2y-3=0, x+2y+7=0, 2x-y-4=0 form three sides of two squares...

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