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The equation of the locus of the point w...

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

A

`x^(2)+3y^(2)=0`

B

`x^(2)-3y^(2)=0`

C

`3x^(2)+y^(2)=0`

D

`3x^(2)-y^(2)=0`

Text Solution

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The correct Answer is:
D
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SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY-EXERCISE 6.5
  1. The equation of the locus of the point whose distance from y-axis is h...

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  2. Which of the following equation is the locus of (at^(2),2at)

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  3. Which of the following point lie on the locus of 3x^(2)+3y^(2)-8x-12y+...

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  4. If the point (8,-5) lies on the locus x^(2)/16-y^(2)/25=k, then the va...

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  5. Straight line joining the points (2,3) and (-1,4) passes through the p...

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  6. The slope of the line which makes an angle 45 with the line 3x-y=-5 ar...

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  7. Equation of the straight line forms an isosceles triangle with coordin...

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  8. The coordinates of the four vertices of a quadrilateral are (-2,4), (-...

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  9. The intercepts of the perpendicular bisector of the line segment joini...

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  10. The equation of the line with slope 2 and the length of the perpendicu...

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  11. A line perpendicular to the line 5x-y=0 forms a triangle with the coor...

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  12. Equation of the straight line perpendicular to the line x-y+5=0, throu...

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  13. If the equation of the base opposite to the vertex (2,3) of a equilate...

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  14. The line (p+2q)x+(p-3q)y=p-q for different values of p and q passes th...

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  15. The point on the line 2x-3y=5 is equidistance from (1,2) and (3,4) is

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  16. The image of the point (2,3) in the line y = -x is

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  17. The length of bot from the origin to the line x/3-y/4=1 is

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  18. The y-intercept of the straight line passing through (1,3) and perpend...

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  19. If the two straight lines x+(2k-7)y+3=0 " and " 3kx+9y-5=0 are perpend...

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  20. If a vertex of a square is at the origin and its one side lies along t...

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