If the line xcos-ysin- -p intersects the circle x-2-y-2-4 at A and B and chord AB makes an angle of 30- at a point on the circumference of circle then 3p-2-

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Position of a Line with Respect to Circle

If the line x...

Question

If the line $x cos α + y sin α = p$ intersects the circle $x^{2} + y^{2} = 4$ at $A$ and $B$ and chord $A B$ makes an angle of $30^{\circ}$ at a point on the circumference of circle then $3 p^{2} =$

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Similar questions

x cos α + y sin α = p

x^{2} + y^{2} = 4

A

B

A B

30^{\circ}

3 p^{2} =

α +

α = p

x^{2} + y^{2} = a^{2}

A

B

A B

(x^{2} + y^{2} - a^{2}) + k (x cos α + y sin α - p) = 0

k =

x c o s α + y s i n α - p = 0

x^{2} + y^{2} - a^{2} = 0

x cos α + y sin α - p = 0

x^{2} + y^{2} - a^{2} = 0

x cos α + y sin α - p = 0

x^{2} + y^{2} - a^{2} = 0

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