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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 a plane is 1, then its locus is
(a)a square  (b)  a circle (c) a straight line         (d)  two intersecting lines

A

a circle

B

an ellipse

C

a hyperbola

D

none of these

Text Solution

Verified by Experts

Let the mutually perpendicular lines be the co-ordinate axes and P(h,k) be a variable point . Then ,
`|h| + |k| = 1 " "` [Given]
`therefore` Locus of P (h,k) is |x| + |y| = 1
Clearly , it represents a square .
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Section I - Solved Mcqs
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  5. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

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  6. The co-ordinate axes are rotated about the origin O in the counter-clo...

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  9. Find the equation of the straight line passing through the point (4,3)...

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  10. about to only mathematics

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  12. IfA(2,-3) and B(-2, 1) are two vertices of a triangle and third vertex...

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  13. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

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  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

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  15. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

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  16. The area of region bounded by the lines y=x,y=0 and x=sin^-1(a^4+1)+co...

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  17. A ray of light is incident along a line which meets another line, 7x-...

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  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

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  19. In a triangle ABC , right angled at the vertex A , if the position vec...

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  20. If a variable line drawn through the intersection of the line x/3+y/4=...

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