As shown in the given figure, from an external point P, a tangent PT and a line segment PAB are drawn to a circle with centre O. ON is perpendicular on the chord AB, Prove that ` PA.PB = PN^(2) - AN^(2) `
Text Solution
AI Generated Solution
Topper's Solved these Questions
REVISION PAPER -2
ICSE|Exercise SECTION B|1 Videos
REVISION PAPER -1
ICSE|Exercise SECTION B|25 Videos
REVISION PAPER -3
ICSE|Exercise SECTION - B|22 Videos
Similar Questions
Explore conceptually related problems
From an external point P , two tangents PA and PB are drawn to the circle with centre O . Prove that O P is the perpendicular bisector of A B .
In the given figure, from an external point P,two tangents PT and PS are drawn to a circle with centre O and radius r.If OP=2r, show that /_OTS=/_OST=30^@
Two tangent segments P A and P B are drawn to a circle with centre O such that /_A P B=120^circ . Prove that O P=2\ A P .
From a point P , two tangents P A and P B are drawn to a circle with centre O . If O P= diameter of the circle, show that /_\ A P B is equilateral.
Two tangents T P and T Q are drawn to a circle with centre O from an external point T . Prove that /_P T Q=2/_O P Q .
Two tangents T P and T Q are drawn to a circle with centre O from an external point T . Prove that /_P T Q=2/_O P Q .
In the given figure, two tangents PQ and PR are drawn to a circle with centre O from an external point P, Prove that /_ QPR = 2 /_ OQR.
In the given figure, two tangents PQ and PR are drawn to a circle with centre C from an external point P, Prove that /_ QPR = 2 /_ OQR.
From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that triangleAPB is equilateral.
From an external point P , tangents P A and P B drawn to a circle with centre O . If C D is the tangent to the circle at a point E and P A=14 c m , find the perimeter of P C D .