Home
Class 12
MATHS
P is any point on the x-a=0. If A=(a,0)a...

P is any point on the `x-a=0`. If `A=(a,0)`and PQ , the bisector of `angleOPA` meets the x-axis in Q prove that the locus of the foot of prependicular from Q on OP is `(x-a)^2(x^2+y^2)=a^2y^2`

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Prove that the locus of a point that is equidistant from both axis is y=x.

Any ordinate MP of an ellipse meets the auxillary circle in Q. Ptove that the locus of the point of intersection of the normals at P and Q is the circle x^(2)+y^(2)=(a+b)^(2) .

The locus of the foot of prependicular drawn from the center of the ellipse x^(2)+3y^(2)=6 on any tangent to it is

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

Find the points on the curve x^2+y^2-2x-3 = 0 at which the tangents are parallel to the x-axis.

Find the locus of the foot of perpendicular from the centre upon any normal to line hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

If a chord PQ of the parabola y^2 = 4ax subtends a right angle at the vertex, show that the locus of the point of intersection of the normals at P and Q is y^2 = 16a(x - 6a) .

What is the locus of the equations x^2+y^2+z^2=0 ?