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A point moves in the xy-plane such that ...

A point moves in the xy-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 5 units. The are (in square units) enclosed by the locus of the point, is

A

`25//4`

B

25

C

50

D

100

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The area of the parallelogram formed by the lines 4y-3x-a=0, 3y-4x+a=...

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  2. P(2, 1), Q(4, -1), R(3, 2) are the vertices of a triangle and if throu...

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  3. A point moves in the xy-plane such that the sum of its distances from ...

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  4. The angle between the lines 4x-y+9=0, 25x+15y+27=0 is

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  5. The angle between the lines x cos alpha+y sin alpha=p(1) and x cos bet...

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  6. The angle between the lines formed by joining the points (2, -3), (-5,...

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  7. Find the angle between the lines ax+by=a+b,a(x-y)+b(x+y)=2b

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  8. If theta is the angle between the lines x//a+y//b=1, x//b+y//a=1, then...

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  9. If theta is the angle between y=2x+3, y=x+1, the value of tan theta=

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  10. The angle between the line joining the points (1, -2), (3, 2) and the ...

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  11. If the acute angle between the lines 4x-y+7=0, kx+5y-9=0 is 45^(@), th...

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  12. If the acute angle between the lines 2x+3y-5=0, 5x+ky-6=0 is pi//4, th...

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  13. If 2x+ky-10=0, 5x+2y-7=0 are parallel, then the value of k =

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  14. If 3x-ky-2=0, 2x+y+2=0 are perpendicular, then the value of k =

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  15. A line passing through the points (a, 2a) and (-2, 3) is perpendicular...

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  16. The value of k such that the straight line (2x+3y+5)+k(x-7y+6)=0 is pa...

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  17. The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-...

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  18. The value of k such that the straight line 3x+14y+7+k(5x+7y+6)=0 is pe...

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  19. The value of k such that the line 2x+3y+4+k(6x-y+12)=0 is perpendicula...

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  20. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q=0 are per...

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