20. Orthogonality on a circle Suppose that AB is the diameter of a circle with center O and that C is a point on one of the two arcs joining A and B. Show that CA and CB are orthogonal. B -u %3D

Q: 12. (a) 41 C NOT DRAWN TO SCALE In the diagram, O is the centrof the circle ABC and ZBCA= 41°. Find:…

A: We will solve both the parts of this question using only logic and some basic knowledge of geometry.

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

A:

Q: 5. [a] Using the method of describing Quadrangles and Townships as dis distance, in miles between…

A: Given: To explain the given statement as follows,

Q: 6. EC is tangent to circle O. ABis a diameter. If mDB = 47°, find mAD, ZECD %3D B.

A:

Q: 22. Which of the following is the BEST description for the resulting three-dimensional figure if a…

A: topic - rotation

Q: 44. Use the cross product to find the area of the triangle with vertices P = (1, 1, 5), Q = (3, 4,…

A: If triangle T spanned by two non zero vectors u, v Then the area of the triangle is given by…

Q: The image shows a circle with center (4, 6) and radius 10 units. 174 16 15 14 13 12 11 10 9. 7 (4,…

A: Center of the circle is (4,6) and radios is 10 units. The equation of the circle center at(h,k) and…

Q: 14. R is the triangle with corners (0,0), (1,0), and (0,1); 8(x, y) = (x² + y +1)lb/in? %3D

A: Formula: Mass of a lamina determined by the region R with density function δx, y is: m=∫∫Rδx, y dA

Q: Manesh and Jillian are demonstrating that circle A with center (0, 0) and a radius of 2 is similar…

A: Here, the situation is described as below: where A(-1,-3), B(-1,3) & C(1,3)

Q: *17. In the figure, BD is a diameter of the circle. PQ is the tangent to the circle at A. If 2QAB =…

A: Solved below

Q: The result of a transformation of circle A using the rale (a,y)+ (+4,y-1). followed by a dilation of…

A:

Q: Find the center C(h,k) and radius (a) :of the circle x² + y° – 4x – 4 C(4, 3/2), a = 5 O С (4, 0), а…

A: Solution:-

Q: M РА122° 60° 52 S. R. If in the given figure center of a circle P , is joined to points Q, R, S andT…

A:

Q: 17. Find the measure of the acute angle formed by the lines m and k, if the magnitude of rotation to…

A: The compositions of reflections over intersecting lines theorem states that if we perform a…

Q: 4. Let P be a point inside an acute angle with vertex A. Let PM and PN denote the perpendiculars…

A:

Q: 11. JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 8, AL =…

A:

Q: 2, 3 A, B and C are points on the circle with centre O such that AB = BC =-AO. OA = x %3D 4 B 1 A…

A:

Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

A:

Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

A:

Q: Jo the figure alongside, O is the centre of a circle. If PB = PD. M. prove that OM ON.

A: Given  In the figure , O is center of the circle  and PB =PD .

Q: 7. Escher was an artist who accidentally incorporated non-Euclidian geometry into his work. True or…

A: THE STATEMENT IS ABSOLUTELY TRUE M C ESCHER WAS A DUTCH ARTIST AND HE MANAGED TO REPRESENT MANY…

Q: 5.2 O is the midpoint of the circle below. 0 1 5.2.1 Why is Ô, = Ô2. %3D www 5.2.2 Prove ABO = DCO.…

A: Vertical angle: Vertical angles are angles opposite each other where two lines cross and they are…

Q: 1. Prove analytically that if A and B are the ends of a diameter of a circle and C is any point on…

A:

Q: 4. The midpoint of segment CD is M(-1, 0). One endpoint is D(5, 2). What are the coordinates of the…

A:

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of…

A:

Q: ** * * a* a* * * ** ** * * * v. Show that there exists a triangle with two right angles (Defect)

A: This statement is wrong whose descriptive solution with theorem help is given below

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: The vertices of triangle TUV are T=(4, 4) U=(-4, 0) V=(-2, 2)   Scale factor is 2. Centre is origin.

Q: 8. Classify the following triangle based on its shape. C O isosceles equilateral scalene O right

A:

Q: 1. If P(0) is a point P(@)? on the unit circle and 0 = , what are the coardinates of %3D

A:

Q: 1) Triangle TRI has vertices T(15,6), R(5,1), and I(5,11). Use coordinate geometry to prove that…

A:

Q: (b) We can drawa square such that the perimeter of the square is made up of sides which are 4…

A: Here, we need to find the perimeter of the given square and also need to approximate the value of π…

Q: 6.) What is the midpoint of segment KL? y IK -2 8 What is the midpoint of segment KL, pictured…

A: For the line segment KL K = (4, 2) L = (2, - 3) TO find mid point of KL

Q: A circle has a radius of 2y2 units and a center at (5, 1). Which point is located on the circle? O…

A: Given that, The circle has a radius 22units and the center is (-5,1) As we know, If Circle has…

Q: -4 which of the fillowing sets of points is a eircle whose radius is 5 and whose centre is at the…

A:

Q: Find the area of the triangle with vertices P(1, 6, –2), Q(0,0,0) and R(2,4, 1). - NOTE: Enter the…

A:

Q: -Region shared between the circles (r=2cos0) and (r=2Sino) season

A:

Q: 4. Consider the following figure: A(1,1,0) D В-1,-1,-1) C(2,2,0) a) Find the coordinate of D if…

A:

Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Q: (a) If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: Topic -  unit circle

Q: 3) The vertices of triangle JEN are J(2,10), E(6,4), and N(12,8). Use coordinate geometry to prove…

A:

Q: 1. Let two circles meet in points A, B. Let AC, AD be their respective diameters from A. Prove that…

A: In this question we have to Prove that point B is on line CD.

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: Given T4,4, U-4,0 and V-2,2dilation with scale factor of 2 centred at origin

Q: 8. A rectangular prism measuring 4 by 3 by 5 is drawn on a coordinate axis as shown in the diagram.…

A: D (4,3,0) ,P(4,3,5)

Q: 6. Consider the circle with chords AC and DB that intersect at the center of the circle E. AD BC…

A: Opposite angles are non-adjacent angles formed when two lines intersect each other. The opposite…

Q: Excercise 10 (Euler line) Prove that the orthocenter M, the center 0 of the circumscribed circle and…

A: We know that, the line on which orthocenter, circumcenter and barycenter(centroid) lie is called…

Q: Spf(2)

A:

Q: 1,13. (8+18) (6x-11) Given circle Q above, find the value of x.

A:

Q: 2. Consider the following diagram. U Part A: Prove that a LOU~A OZU- A LZo. Part B: Prove that the…

A:

Q: Mathematics Telematics Resources Gr 11 6.2 QUESTION 6 In the diagram, PN is a diameter of the circle…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 2. Given: MLAOB = 55° AOBC is equilateral3; OA, OB, OC, and OD are radii of circle O. Find: (а)…

A: