Home
Class 11
MATHS
A line AB of length '2l' moves with the ...

A line AB of length '2l' moves with the end 'A' always on x - axis and the end 'B' on the line y = 6x find the equation of locus of middle point of AB

Text Solution

Verified by Experts

The correct Answer is:
`9x^(2)+10y^(2)-6xy-9l^2=0`
Promotional Banner

Topper's Solved these Questions

  • LOCUS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|21 Videos
  • LOCUS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|5 Videos
  • LOCUS

    AAKASH SERIES|Exercise EXERCISE - 2.1 ( SHORT ANSWER QUESTIONS)|14 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

Similar Questions

Explore conceptually related problems

A rod AB of length 3 units moves vertically with its bottom B always an the circle x^(2)+y^(2)=25 then the equation of the locus of A is

A line segment of length 2l sliding with ends on the axes, then the locus of the middle point of the line segment is

A line of fixed length a + b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of a point which divides this line into portions of length a and b is

A line segment of length 10 sliding with ends on the axes, then the locus of middle point of the line segment is

Given A-=(1,1) and AB is any line through it cutting the x-axist at B. If AC is perpendicular to AB and meets the y-axis in c, then the equatio of the locus of midpoint P of BC is

A straight rod of length 9 unit, slides with its ends A, B always on the x and y axes repectively. Then the locus of the centroid of Delta OAB is

The line x/a+y/b=1 cuts the coordinate axes at a and B a line perpendicular to AB meets the axes in P and Q. The equation of the locus of the point of intersection of the lines AQ and BP is

A straight rod of length 3l unit slides with its ends A, B always on the x and y axes respectively. Then the locus of the centroid of DeltaΟΑΒ is