Home
Class 11
MATHS
A rod of length 12 cm moves with its end...

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.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(81)+(y^(2))/(9)=1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT TAMIL|Exercise Exercise 11.4|15 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    NCERT TAMIL|Exercise EXERCISE 9.6 (Choose the correct or the most suitable answer from the given four alternatives)|25 Videos

Similar Questions

Explore conceptually related problems

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.

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.

Find the locus of a point P that moves at a constant distant of two units from the X-axis

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

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