Question:medium
P is a point on
\[
\frac{x^2}{9}+\frac{y^2}{4}=1
\]
as \(P(3\cos\alpha,2\sin\alpha)\).
Q is a point on
\[
x^2+y^2-14x+14y+82=0
\]
R is a point on line
\[
x+y=5
\]
If the centroid of triangle \(PQR\) is
\[
\left(\cos\alpha+2,\;\frac{2\sin\alpha}{3}+3\right)
\]
find the sum of possible ordinates of \(R\).
P is a point on
\[
\frac{x^2}{9}+\frac{y^2}{4}=1
\]
as \(P(3\cos\alpha,2\sin\alpha)\).
Q is a point on
\[
x^2+y^2-14x+14y+82=0
\]
R is a point on line
\[
x+y=5
\]
If the centroid of triangle \(PQR\) is
\[
\left(\cos\alpha+2,\;\frac{2\sin\alpha}{3}+3\right)
\]
find the sum of possible ordinates of \(R\).
Updated On: Apr 6, 2026
Show Solution
Correct Answer: 22
Solution and Explanation
NA
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- Two circles with centers $O_1$ and $O_2$ touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:
- BITSAT - 2025
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
