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A point moves such that its distance fro...

A point moves such that its distance from the point (4,0) is half that of its distance from the line `x=16 .` The locus of the point is

A

`3 x^(2)+4 y^(2)=192`

B

`4 x^(2)+3 y^(2)=192`

C

`x^(2)+y^(2)=192`

D

none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
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  2. The reflection of the point (4, -13) in the line 5x+y+6=0 is :

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  3. A point moves such that its distance from the point (4,0) is half that...

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  4. A line cutting off intercept -3 from the y -axis and the tangent of th...

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  5. Slope of a line which cuts off intercepts of equal lengths on the axes...

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  6. The equation of the line passing through the point (3,2) and perpendic...

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  7. Equation of the line passing through the point (1,2) and perpendicnlar...

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  8. The tangent of angle between the lines whose intercepts on the axes ar...

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  9. If the line (x)/(a)+(y)/(b)=1 passes through the points (2,-3) and (4,...

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  10. The distance of the point of intersection of the lines 2 x-3 y+5=0 and...

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  11. One of the equations of the lines passing through the point (3, -2) an...

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  12. The equation of the lines passing through the point (1,0) and at a dis...

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  13. Derive an expression for the distance between two parallel lines y=mx+...

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  14. The co-ordinates of the foot of perpendicular from the point (2, 3) on...

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  15. If the co-ordinates of the middle point of the portion of the line int...

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  16. Equation of the line passing through (1, 2) and parallel to the line y...

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  17. Equation of diagonals of the square formed by the lines: x=0, y=0, x...

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  18. For specifying a straight line, how many geometrical parameters should...

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  19. The point (4, 1) undergoes the following transformations: (i) reflec...

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  20. A point equidistant from the lines 4x+3y+10=0, 5x-12y+26=0 and 7x+24y-...

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