Home
Class 11
MATHS
If O is origin and R is a variable point...

If O is origin and R is a variable point on `y^(2)=4x`, then find the equation of the locus of the mid-point of the line segment OR.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise EXERCISE 6.2|32 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise EXERCISE 6.3|25 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise SECTION - D|5 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - D (5 - MARK)|4 Videos

Similar Questions

Explore conceptually related problems

If O is origin and R is a variable point on y^2=2x , then find the equation of the locus of the mid-point of the line segment OR.

If O is origin and R is a variable point on y^2=4x , then find the equation of the locus of the mid-point of the line segmet OR .

If P(2,-7) is a given point and Q is a point on (2x^(2)+9y^(2)=18) , then find the equations of the locus of the mid-point of PQ.

If the points P(6,2) and Q(-2,1) and R are the vertices of a DeltaPQR and R is the point on the locus of y=x^(2)-3x+4 , then find the equation of the locus of centroid of DeltaPQR .

Find the mid points of the line segment joining the points .

Consider the family ol circles x^2+y^2=r^2, 2 < r < 5 . If in the first quadrant, the common tangnet to a circle of this family and the ellipse 4x^2 +25y^2=100 meets the co-ordinate axes at A and B, then find the equation of the locus of the mid-point of AB.

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords is circle with radius