Home
Class 11
MATHS
Find the locus of the point of intersect...

Find the locus of the point of intersection of the lines `x=a/(m^(2)) and y=(2a)/(m)`, where m is a parameter.

Text Solution

Verified by Experts

The correct Answer is:
`y^(2)=4ax`
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINE

    ICSE|Exercise CHAPTER TEST |15 Videos
  • THE STRAIGHT LINE

    ICSE|Exercise EXERCISE 16 (i)|20 Videos
  • STRAIGHT LINES

    ICSE|Exercise Multiple Choice Questions |46 Videos
  • TRIGONOMETRIC FUNCTION

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |44 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the point of intersection of the lines x+y=3+lamda and 5x-y=7+3lamda , where lamda is a variable.

If m is a variable, then prove that the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is a hyperbola.

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

The locus of point of intersection of the lines y+mx=sqrt(a^2m^2+b^2) and my-x=sqrt(a^2+b^2m^2) is

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b=1/m (i) a circle (ii) an ellipse (iii) a hyperbola (iv) a parabola

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) -2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) 2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is: