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 `angleOCA` 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 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

Find the locus of the foot of the perpendicular drawn from the point (7,0) to any tangent of x^(2)+y^(2)-2x+4y=0

P and Q are two variable points on the axes of x and y respectively such that |OP| + |OQ|=a, then the locus of foot of perpendicular from origin on PQ is

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

Q is any point on the circle x^(2) +y^(2) = 9. QN is perpendicular from Q to the x-axis. Locus of the point of trisection of QN is

The tangent at any point P on y^(2)=4x meets x-axis at Q, then locus of mid point of PQ will be

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

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

If P be a point on the lane lx+my+nz=p and Q be a point on the OP such that OP. OQ=p^2 show that the locus of the point Q is p(lx+my+nz)=x^2+y^2+z^2 .