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

A point moves in the xy - plane such that th sum of its, distances from two mutually perpendicular lines is always equal to 5 units. The area (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:
D
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AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -I Straight Objective Type Question)
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  7. The area of the triangle formed by line y=ax , x+y-a=0 and y axis is

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  8. OPQR is a square and M,N are the middle points of sides PQ and QR resp...

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  9. If P=(1/(Xp),p),Q=P=(1/(Xq),q),R=(1/(x^r),r) " where " xk ne 0, " den...

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  10. The area of a parallelogram formed by the line axpmbypmc=0 is

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  11. If the area of the rhombus enclosed by the lines lxpmmypmn=0 be 2 sp u...

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  12. The area enclosed by 2absx+3absyle6 is

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  13. If f(x+y)=f(x)f(y) for all x and y if f(1)=2, then area enclosed by 3a...

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  14. Given A(0, 0) and B(x, y) with x in (0, 1) and y gt 0. Let the slope o...

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  15. If from point P(4,4) perpendiculars to the straight lines 3x+4y+5 and ...

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  16. A point moves in the xy - plane such that th sum of its, distances fro...

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  17. The line x+y=p meets the x-and y-axes at A and B, respectively. A tri...

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  18. P(m,n)(where m,n are natural numbers) is any point in the interior of ...

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  19. If P(alpha,beta), abgt0 " and the variable line " x/a+y/b=1 " is draw ...

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  20. A-=(-4,0) ,B-=(4,0). M and N are the variable point of the y-axis such...

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