10x - 19 4x+23 G. DV

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

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Q: MD and ME are tangent to the circle. Solve for x. 4x 12 M 2x + 12 E O A. 24 O B. 12 D. 0 OOO O

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Q: 7. 3.5 6.4

A: Topic- circle  As per guidelines only first question to be answered remaining questions can be…

Q: 8. M 25 1 J

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Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

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Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: 3. Which point of the unit circle of y = sin x has is A. -1 B. ± 1 С. 1 D. 0

A: To find a unit circle of y=sin x has its highest value

Q: Evaluate | xy2 ds where C is the first quadrant of the circle, x2 + y2= 16 . .A 8192

A: We need to evaluate ∫cxy2ds Where c is the first quadrant of circle x2+y2=16

Q: Evaluate x+y JF dx dy x² + y² + a² over the portion of the first quadrant lying inside the circle x²…

A: Answer is given using polar coordinates.

Q: Бх - 4 Given that the segments are tangent to the circle, set up the relationship for the given…

A: The length of the tangent AB=5x-4 The length of the tangent AD=16+3x

Q: e iz dz where C is the circle z =3. zーT/2 Find,

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Q: 10x-19 4x+23

A: It is known that the lengths of two tangents drawn from an external point to a circle are equal. We…

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 3π/2     (x, y)…

A: Given that

Q: Ex. 31 R

A: Since ∠1 and ∠QPR are verically opposite angles and we know that vertically opposite angle are…

Q: 3. 8.5 W 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the exact length of the tangent to the circle with equ a? + 8x + y? – 6y + 16 = 0 from the…

A: Topic:- Geometry

Q: Given LK & JK are tangent to the circle below, find maJKL. 110° J

A: The solution is:

Q: Determine if R is tangent to circle C. -17- 8. 15 A a. yes b. no

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Q: My birthday is *#1.) AE is tangent to circles D and C. If EB =x+8, DE = 8, AB = 6 and AC = x. B. a)…

A: In circle  Radius is perpendicular to tangent

Q: Let f (2) = 5. Let C be the circle |z| = 2 in the counter-clockwise direction. What is 2ni Tf(2) dz?

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Q: In the figure below, CD is tangent to the circle. Solve for m BD and m AB. yo C 50% A to D 200° The…

A: Explanation of the answer is as follows

Q: The contour C is the quadrant of the circle, of radius 3 and centred at z = 0, between the points z…

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Q: Which of the following lines is tangent to circle F ? * E B A (AG) O (AES (DE) (BD)

A: Topic:- tangent to circle

Q: Prove that the value inside the circle is equal to one EX: Find the F.T of g(t) = alt-tol Sol aso…

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Q: Segment WX and WY are tangents to Circle P. If mzP=125°, find: Y mXY m XZY mzWXP mzW N

A: Given that a circle P and XP and YP are redius of this circle .and WX and WY are tangents.  Here i…

Q: BC is a tangent drawn to circle O. OC = 16, BM = 10. Find BC to %3D the nearest tenth. C B to M 16

A: Given: -  BC is a tangent drawn to circle O. OC = 16, BM = 10. To Find BC

Q: If DE and EF are tangent to circle G, find EF

A: Consider a circle with tangents drawn from the same external point as shown in the figure. Now,…

Q: Which of the following is the equation of family of unit circles tangent to x-axis? A (x-r)² +(y-r)²…

A: We have to find the equation of family of unit circles tangent to x-axis.

Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point…

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t t = Р(х, у) %3

A: Given: r=1 unit We know that if θ is a parameter and r is radius of circle then point on circle is…

Q: Evaluate P (3x + 4y) dx + (2x – 3y) dy where 'C is the circle x?+y = 4.

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Q: Which of the following lines is tangent to circle F ? G F B O (BD) O (DES (AET O (AG)

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Q: Find the area of circle A given tangent CD = 4 and FD = 2. а. 36n b. 16л 12л C. d. е.

A: Given: CD is tangent to the given circle. CD = 4 DF = 2

Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

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Q: Find the point (x,y) on the unit circle that corresponds to the real number t. 4. t= n/2

A: Given: t=π2

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 71/4 (x, y) =

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Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: 5. In the figure, DAand DBare tangents to the circle from point D. If mAB 84°, find m2D 5. a. 42° b.…

A: Refer to the question we need to find the angle D in the provided figure where DA and DB are…

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t 2 Р(х, у) %3

A: Given

Q: Find the length of the arc of the circle X+y = 25from x- 2 to x = 4. A 5.16 (в 4.16 C 3.16 D) 2.58

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

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Q: If XY = 48, XZ= 32, JQ= 7, and the radius of the circumscribed circle of AXYZ is 25, find QK. X K QK…

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Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: E C. 7 8 7. Which of the following is a tangent of the attached circle? CD. АВ. EO GH D 00

A: Amongst all the lines, the line AB touches the circle (externally)

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. х) Р(х, у) %3

A: t= 5pi/3 so we look at the 5pi/3 on unit circle. For this the terminal point P(x,y) is (1/2 ,…

Q: In the accompanying diagram, PQ is tangent to circle O at Q and PRT is a secant. If LP = 56 and mQT…

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Q: If F = V(4x² + 4y³), find ſ, F · dř where C is the quarter of the circle x? + y? = 9 in the first…

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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.