Let AB be a chord of length 12 of the circle x-2^2+y+1^2=169/4 If tangents drawn to the circle at points A and B intersect at the point P, then five…

Question

Let AB be a chord of length 12 of the circle x-2^2+y+1^2=169/4 If tangents drawn to the circle at points A and B intersect at the point P, then five times the distance of point P from chord AB is equal to _____.

MARKS Content Team · Accepted Answer

Correct answer: 72. Plotting the diagram of given value we have, Now given, radius =√169√4=13/2 Now by diagram M is the midpoint of AB so, AM=6 Now in ∆AMP, PM=6cotθ And in ∆OAM sin90°-θ=6/132 ⇒cosθ=12/13 PM=6×12/5=72/5 ⇒5PM=72

Let $A B$ be a chord of length $12$ of the circle
${(x - 2)}^{2} + {(y + 1)}^{2} = \frac{169}{4}$
If tangents drawn to the circle at points $A$ and $B$ intersect at the point $P$ , then five times the distance of point $P$ from chord $A B$ is equal to _____.

Solution

Relevant Questions

Let AB be a chord of length 12 of the circlex-22+y+12=1694If tangents drawn to the circle at points A and B intersect at the point P, then five times the distance of point P from chord AB is equal to _____.

Solution

Relevant Questions

Let $A B$ be a chord of length $12$ of the circle
${(x - 2)}^{2} + {(y + 1)}^{2} = \frac{169}{4}$
If tangents drawn to the circle at points $A$ and $B$ intersect at the point $P$ , then five times the distance of point $P$ from chord $A B$ is equal to _____.