Home
Class 11
MATHS
If the sum of the distances of a moving ...

If the sum of the distances of a moving point in a plane from the axes is 1, then find the locus of the point.
Thinking Process : Given that `|x| + | y| =1` which gives four sides of a square.

Text Solution

Verified by Experts

The correct Answer is:
Locus of point is square.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|20 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|15 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|12 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the plane 2x-y-2z+1=0 from the origin.

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

If the intercept of a line between the coordinate axes is divided by the point (-5, 4) in the ratio 1:2 , then find the equation of the line. Thinking Process : Coordinates of the point which divides line segment joining (x_1 , y_1 ) and ( x_2, y_2) in ratio (m_1 : m_2) ((m_1 x_2 + m_2 x_1)/( m_1 + m_2) , ( m_1 y_2 + m_2 y_1)/( m_1 + m_2)) .

Find the distance of the point (3,-2,1) from the plane 2x-y+2z + 3 = 0.

Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + 5 = 0.

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Find the distance of the point (-1, 1) from the line 12(x+6) = 5(y-2) .

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

The ends of a rod of length l move on two mutually perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1 : 2.

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection is