Home
Class 11
MATHS
If the points P(6,2) and Q(-2,1) and R a...

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`.

Text Solution

Verified by Experts

The correct Answer is:
`9x^(2)-33x-3y+35=0`
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)=4x , 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 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 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.

Show that points P(1,-2), Q(5, 2), R(3, -1), S(-1, -5) are the vertices of a parallelogram.

If R is any point on the x-axis and Q is any point on they y-axis and P is a variable point on RQ with RP=b, PQ=a, then find the equation of locus of P.