Home
Class 12
MATHS
A straight line is drawn through the cen...

A straight line is drawn through the centre of the circle `x^2 + y^2-2ax=0` line `x + 2y = 0 ` parallel to the straight and intersecting the circle at `A` and `B`. Then the area of triangle `AOB` is

Text Solution

Verified by Experts

`x^2+y^2-2ax=0`
`x+2y=0`
equation of line
x+2y++c=0
a+0+c=0
c=-a
We get,
x+2y-a=0
...
Promotional Banner

Similar Questions

Explore conceptually related problems

A straight line is drawn through the centre of the circle x^(2)+y^(2)-1ax=0 parallel to the straight line x+2y=0 and intersection the circle at A and B. Then the area of AOB is

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

Find the equation of the straight line which passes through the centre of the circle x^(2) + y^(2) + 2x + 2y- 23 = 0 and is perpendicular to the straight line x-y+8 = 0.

The straight line through the point of intersection of ax+by+c=0 and a'x+b'y+c'=0 are parallel to the y-axis has the equation

A straight line passes through the point of intersection of the straight lines 3x - 2y + 4 = 0 and 2x + 3y +5 = 0 and is parallel to the straight line x -y + 5 = 0. Find its equation.

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The pole of a straight line with respect to the circle x^2+y^2=a^2 lies on the circle x^2+y^2=9a^2 . If the straight line touches the circle x^2+y^2=r^2 , then :