Home
Class 11
MATHS
If P(2,-7) is a given point and Q is a p...

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.

Text Solution

Verified by Experts

The correct Answer is:
The locus is `8x^2+36y^2-16x+252y+431=0`
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.2|15 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.3|19 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos

  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|26 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 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 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 .

If Q is a point on the locus of x^(2) + y^(2) + 4x - 3y +7=0 , then find the equation of locus of P which divides segment OQ externally in the ratio 3:4, where O is the origin.

If P(theta) and Q((pi)/(2)+theta) are two points on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then find the locus of midpoint of PQ