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If the distance of any point `(x,y)` from origin is defined as `d(x,y)=max{|x|,|y|}`, then the locus of the point `(x,y)` where `d(x,y)=1` is

A

a circle

B

a straight line

C

a square

D

a triangle

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The correct Answer is:
B
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ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. The set of values of b for which the origin and the point (1, 1) lie o...

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  2. Line L has intercepts a and b on the coordinate axes. When the axes ar...

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  3. If the distance of any point (x,y) from origin is defined as d(x,y)=ma...

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  4. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

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  5. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

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  6. The point (4,1) undergoes the following three successive transformatio...

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  7. f is a function defined by f(x) = |x - 1| + 3. Find f(-9).

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  8. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A tr...

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  9. If P(1,0) ,Q(-1,0) and R(2,0) are three given points ,then the locus o...

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  10. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

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  11. The line x+y=1 meets X - axis at A and Y - axis at B,P is the mid poin...

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  12. Solve the following system of inequalities graphically : 4x + 6y le 24...

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  13. The straight lines x+ 2y -9 =0, 3x +5y - 5 = 0 and ax+by-1 = 0 are c...

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  14. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

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  15. Consider a point A(m,n) , where m and n are positve intergers. B is th...

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  16. A straight line L with negative slope passes through the point (8,2) a...

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  17. If a pair of perpendicular straight lines drawn through the origin f...

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  18. The number of integral values of m for which the x-coordinate of the p...

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  19. A ray of light passes through the point (1, 2) reflects on the x-axis ...

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  20. Consider the family of lines 5x+3y-2+lambda(1)(3x-y-4)=0 " and " x-y+1...

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