Home
Class 11
MATHS
The line x=2y intersects the ellipse (x^...

The line `x=2y` intersects the ellipse `(x^(2))/4+y^(2)=1` at the points `P` and `Q`. The equation of the circle with `PQ` as diameter is

A

`x^(2) +y^(2)= (1)/(2)`

B

`x^(2) +y^(2)=1`

C

`x^(2) +y^(2)=2`

D

`x^(2) +y^(2)= (5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the points P,Q,R. the area of the triangles PQR is

A variable tangent to the circle x^(2)+y^(2)=1 intersects the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at point P and Q. The lous of the point of the intersection of tangents to the ellipse at P and Q is another ellipse. Then find its eccentricity.

The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 intersect at the points A and B Equation of the circle with AB as its diameter is

The line 2x+y=3 intersects the ellipse 4x^(2)+y^(2)=5 at two points. The point of intersection of the tangents to the ellipse at these point is

The circle x^(2)+y^(2)8x=0 and hyperbola (x^(2))/(9)(y^(2))/(4)=1 intersect at points A and B .Then Equation of the circle with A B as its diameter is

If line y= 2x meets circle x^(2) + y^(2) - 4x = 0 in point A and B , then equation of circle of which AB is diameter is

If line y = 4x meets circle x^(2) + y^(2) - 17 x = 0 in points A and B , then equation of circle of which AB is a diameter is

Let the line segment joining the centres of the circles x^(2)-2x+y^(2)=0 and x^(2)+y^(2)+4x+8y+16=0 intersect the circles at P and Q respectively. Then the equation of the circle with PQ as its diameter is

If the straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^(2)+y^(2)=25

If 3x+4y=12 intersect the ellipse (x^(2))/(25)+(y^(2))/(16)=1 at P and Q, then point of intersection of tangents at P and Q.