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If the sum of the distances of a point f...

If the sum of the distances of a point from two perpendicular lines in the plane is `1,` then its locus is

A

a square

B

a circle

C

a parabola

D

an ellipse

Text Solution

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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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  3. If the sum of the distances of a point from two perpendicular lines in...

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  5. A point (-4,5) is the vertex of a square and one of its diagonals is 7...

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  6. The equation of a straight line passing through the point (-5, 4) and ...

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  7. The three lines a x+b y+c=0, b x+c y+a=0 and c x+a y+b=0 are concurren...

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  8. If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines t...

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  9. A line makes zero intersects on x axis and y axis and it is prependicu...

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  10. If p is the length of the perpendicular from the origin on the line wh...

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  11. The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...

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  12. What is the equation of the locus of a point which moves such that 4 t...

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  13. Equation of the straight line making equal intercepts on the axes and ...

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  14. Equation of the straight line making equal intercepts on the axes and ...

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  15. If the area of the triangle with vertices (x, 0). (1.1) and (0.2) is 4...

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  16. If (0,-1) and (0,3) are two vertices of a square, the other two vertic...

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  17. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

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  18. If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b ...

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  19. The co-ordinates of the foot of the perpendicular drawn from the point...

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  20. The coordinates of the circumcentre of the triangle with vertices (2,3...

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