6) Let / be a Poincare line and let P be a point not on 1. Drop a perpendicular from P to 1. Let Q be the foot of this perpendicular. Let A and B be two points on / on opposite sides of Q. Let the 1 hyperbolic distance from P to Q be d. Taking the hyperbolic constant, k, to be equal to 1, prove that the measure of angle APB must be less than 4-arctan arctan(ed).

Q: A point A is inside a circle of radius a, at a distance b from the centre. Show that the locus of…

A: Since, we have a circle of radius a, so area enclosed by circle=πa2and also, it is given that a…

Q: If four points be taken on a rectangular hyperbola such that the chord joining any two is…

A:

Q: Ok Find the Foulier Soties af the funck en fom -1

A:

Q: 1) y = tan x 2) y = cot x 3) y = -tan x4) y = -cot x %3D A) B) C) D)

A:

Q: OA, OB and OC, with O as the origin, are three mutually perpendicular lines whose direction cosines…

A:

Q: Determine the measure of the interior angle at vertex E. 4x 4x 4x 3x E 3x А OA. 30 Ов. 90 Ос. 150…

A: given pentagon                        then we have to determine measure of   interior angle of…

Q: Use Green's Theorem to find SF ·dř where F = (y³, –x³) and C is the circle x² + y² = 3. %3D %3D

A: The given vector is  F = y3i - x3j

Q: Evaluate xy ds where C is the right half of the circle x2 + y? = 9

A:

Q: Find the distance from (4, –2, 6) to each of the following. a. The xy-plane

A:

Q: Let l be a Poincare line and let P be a point not on l. Drop a perpendicular from P to l. Let Q be…

A: Given l is a Poincare line and a point P not on l. Drop a perpendicular from P to l. Let Q be the…

Q: Find the segment length indicated. 1) 19 11.4

A:

Q: Let ∆ABC be a triangle. (a) Prove that B’ lies in the interior of AC if and only if ∠BAC and ∠ACB…

A:

Q: angle at whih the para bola intersects. the pesitive x-axis.

A: Angle of intersection means angle between tangent at intersection point with x axis. dy/dx =…

Q: The tangents to x\power{2}+y\power{2}=a\power{2} inclinations a and b intersect at P.if cot a+cot…

A: Let the coordinates of P be (h,k).Let the equation of a tangent from P(h,k) to the circle x2+y2=a2…

Q: [6] Use Hilbert's axioms of incidence and betweenness to complete the proof of the following…

A: Given: The theorem, "If A and B are any two distinct points, then there exists a point X between A…

Q: Find the are length of the polav Curve r=3° from o-0 to 0= 1

A: Solve the following

Q: Find an angle θ such that 0 < θ < 2 π and θ has the same circle point as 8 π/  3.

A:

Q: If a circle passes through the point (0,0),(a,0) and (0,b),then find its center. Prove that for all…

A: There are many parts of question but not metioned a particular question so i am solving all portion…

Q: Subject. Date For a PEIR", supPOs that the curves yx :IRIR are given by the and rules 8,(H)…

A: Given: a, r ∈ℝ+ γ1, γ2 : ℝ→ℝ2 such that, γ1(t) =(rcos(at), rsin(at)) γ2(t) = (rcos(-at), rsin(-at))…

Q: Prove that the angle between the tangents from (a, ß) to the circle x² + y² = a² is 2tan ¹(a/√S),…

A:

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

A:

Q: tudent Bookmarks A USATestprep, LLC -. (2/4) Theorems & Parallelograms Practice Activ... T 13/18…

A: To find the value of x in each parallelogram.

Q: 1, Compute the Euclidean distance between the sets of points below. a. ​(2​,4​)and ​(9​,3​) b.…

A: a) two point in 2 dimension is (2, 4) and (9, 3)  b) two point in 3 dimension is (11, -3, 30) and…

Q: a) Find the image of the following under W = Z² 4) The line x = 3 2 <y<3 2) The domain b) Let f(Z) =…

A:

Q: x* = min ||x - p|2 = min Z(x.p) = x a %3D i.e. the closest neighbour of p in Euclidean distance is…

A: Asper the question we have to state a data set {x(i)} and then show that within that data set the…