Home
Class 12
MATHS
Obtain the equaiton of straight lines pa...

Obtain the equaiton of straight lines passing through the point `A (2, 0)` and making an angle of `45^0` with the tangent at `A` to the circle `(x+2)^2 + (y+3)^2 = 25`. Find the equation of the circle each of radius 3, whose centres are on these straight lines each at a distance of `5sqrt(2)` units from `A`.

A

`(x-1)^(2)+(y-7)^(2)=9`

B

`(x-3)^(2)+(y+7)^(2)=9`

C

`(x-9)^(2)+(y-1)^(2)=9`

D

`(x+9)^(2)+(y+1)^(2)=9`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Equation of tangent at `A` is `4x-3y-8=0`
Let `y=m(x-2)` in line thro `(2,0)` and `m=-7` or `1/7`
We have `(x-2)/(- 1/(sqrt(50)))=y/(7/(sqrt(50)))=5sqrt(2)`
`implies` Centre of circle are `(1,7), (3,-7),(9,1)` and `d(-5,-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Obtain the equations of the straight lines passing through the point A(2, 0) & making 45 with the tangent at A to the circle (x + 2)^2 + (y-3)^2 = 25 . Find the equations of the circles each of radius 3 whose centres are on these straight lines at a distance of 5sqrt2 from A.

Find the equations of the straight lines passing through (2,-10) and making and angle of 45^0 with the line 6x+5y-8=0

Find the equation of a line passing through the point (2,-3) and makes an angle of 45^(@) from X -axis.

Find the equation of the straight lines passing through the origins and making an angle of 45^0 with the straight line sqrt(3)x+y=11.

Find the equation of the two straight lines through the point (2, -1)making an angle of 45^(@) with the line 6x+5y-1=0

Find the equations t the straight lines passing through the point (2,3) and inclined at an angle of 45^0 to the line \ 3x+y-5=0.

Find the equation the straight line passing through (-2,3) and inclined at an angle of 45^0\ \ \ with the x-axis.

Find the equation of the straight line passing through (3,-2) and making an angle of 60^0 with the positive direction of y-axis.

Find the equation of the straight line passing through (3,-2) and making an angle of 60^0 with the positive direction of y-axis.

The equation of the lines passes through (2,3) and making an angle of 45^(@) with the line 2x-y+3=0 is