Home
Class 12
MATHS
A rod of length 1.2 m moves with its en...

A rod of length 1.2 m moves with its ends always touching the coordinate axes. The locus of a point Pon the rod, which is 0.3 m from the end in contact with x-axis is an ellipse. Find the eccentricity.

Text Solution

Verified by Experts

The correct Answer is:
`e=(2sqrt(2))/(3)`
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.6|25 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise Additional Question Solved|44 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.4|8 Videos
  • THEORY OF EQUATIONS

    FULL MARKS|Exercise Additional Questions Solved|30 Videos

Similar Questions

Explore conceptually related problems

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.

A rod of length l slides with its ends on two perpendicular lines. Find the locus of its midpoint.

A rod of length k slides in a vertical plane, its ends touching the coordinate axes. Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^2+y^2)^3=k^2x^2y^2dot

A straight rod of length 8 units slides with its ends A and B always on the x and y axes respectively. Find the locus of the mid point of the line segment AB.

A straight line segment of length/moves with its ends on two mutually perpendicular lines. Find the locus of the point which divides the line segment in the ratio 1:2

Find the locus of a point which moves such thet its distance from the x axis is twice the distance from y axis.

Find the locus of a polnt which moves such that its distance from the x-axis is equal to the distance from the y-axis.