QR is a chord of a circle with centre O. Two tangent at the points Q and R intersect each other at the point P. QM is a diameter of t he circle. Prove that angleQPR = 2 RQM

Q: C 15 12 P.

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Q: PQ is tangent to circle P at point Q. What is mZPRQ? R 59°

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Q: In a right triangle ABC in which ∠B = 90°, a circle is drawn with AB as diameter intersecting the…

A: Let O be the center of the given circle. Suppose the tangent at P meets BC at Q The join BP. The aim…

Q: The radius of a circle with centre at (-1, 2) and a tangent at x = -5 is ... Answer:

A: Distance between tangent and center of circle is radius.

Q: A tangent ET is constructed to circle Q from external point E. Which angle and which side of…

A: Since the angle formed by a radius drawn to tangent equals 90° i.e. QT¯⊥TE¯Applying the Pythagorean…

Q: PT is a tangent to circle O. R is the centre of the larger circle. 4x T. Statement Reason

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Q: If the tangent of an angle x is 3/4, find the value of the cosine of 2x

A: Let's find.

Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: All sides of AQRS are tangent to circle P. RS has length 16. UQ has length 17. Find the perimeter of…

A: All sides of ∆QRS are tangent to circle P.  RS¯ has length 16. UQ¯ has length 17. To find the…

Q: Sketch the following angles using a unit circle on a coordinate plane, then find their sine and…

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Q: 10. Given the circle, assume that AD passes through the center of the circle, AB is tangent to the…

A: Given that m∠ADB=35°  , AB is tangent to the circle and AD passes through the center of the circle.

Q: Given tangents DB & AB in circle C, find length of DB B 6.

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Q: ABCD is a square with side s. Three similar circles is inscribed in it with ED and FD is the common…

A: We use the Pythagorean theorem to find the length of the tangent from the common point to each of…

Q: Find Ahe radius and interval of canergene for Ne sanes 3n+2 he

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Q: 1. Line AB is tangent to circle O at A. If AB = 12 and OA = 5, find OB %3D B.

A: We have to find OB

Q: C and DC are tangent to circle A. Kite ABCD is inscribed in circle E. he radius of circle A is 14…

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Q: If 0 < t < π/2, describe sec t as a ratio of the lengths of the sides of a right triangle.

A: If 0 < t < π/2, we have to describe sect as a ratio of the lengths of the sides of a right…

Q: 95 25

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Q: Use circle Q to find the following. (show work for #16) A 15. ZACB = QB = 5 AC = 6 BC = x 16. x=.

A: Given  QB=5AC=6BC=x

Q: The points A, B, C and D lie on the circle shown in the figure such that AB = BC and DC // AB. The…

A: Concept: The eccentricity is zero and the two foci are coincident in a circle, which is a special…

Q: KS. (a) Give a tangent line. (b) Give a secant line. C (c) Give a chord. K H

A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.