To construct a tangent to OR from a point S outside OR, you need to construct: (A) the perpendicular bisector of RS (B) a perpendicular to RS at the point where RS intersects OR (C) a diameter that is perpendicular to RS (D) a perpendicular to RS through point S (E) a 30°-60°-90° triangle with vertex S

Q: uppose an arc of length s lies on the unit circle x2 + y2 =1, starting at point (1,0) and…

A: Given unit circle x2+y2=1

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: In AXYZ, the measure of ZZ=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of…

A: Given: In △XYZ, m∠Z=90°YX=97XZ=65ZY=72 To find: What ratio represents the tangent of ∠Y?

Q: In the given figure, CF and BF are tangents to crcle A and intersect at F, a point on circle E. BF…

A: Given Figure:

Q: 2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DC be a secant line…

A: Given: PA  is tangent of a circle. DC is a secant line. P is intersecting point of tangent and…

Q: DRAW ARC OF 30 mm(1.20")R TANGENT TO GIVEN LINE AND ARC. SHOW CONSTRUCTION FOR POINTS OF TANGENCY.

A: For the figure, black colour represents given geometries, dotted red colour represents location…

Q: 2. Using AABC, identify the ratio for tangent of ZB. 17 cm -C B- 15 cm 8 cm A.

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Q: Find a formula for the distance from the point P(x, y, z) to the yz-plane.

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Q: A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of a…

A: curved surface area of cone= lateral surface area of cone

Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that…

A: For r=sqrt(3)cos(theta) find dr/d theta

Q: 2. Find points P and Q on the parabola y = 1 - x² so that the triangle ABC formed by the r-axis and…

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Q: The circles r = (3)^1/2 cos u and r = sin u intersect at the point (((3)^1/2)/2, pi/3) . Show that…

A: We have given circles equation r=3cosu and r=sinu For intersection point of these circles…

Q: How high is the point P on parabolic arc tunnel of the span of 20ft and height of 16ft, at a…

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Q: Find the angle of inclination 6 of the tangent plane to the surface at the given point. x2 + y2 =…

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Q: In ASTU with a right angle at T, the tangent ratio can be used to determine the length of TU as a)…

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Q: PR is tangent to circle Q at R and PS Is tangent to circle Q at S.Find mZP.

A: Given: PR is tangent to Q at R and PS is tangent to Q at S ∠P =  x° ∠Q =  4x° ∠R =  90° ∠S =   90°

Q: AJKL is a right triangle So KL is perpendicular t Therefore, by Theore

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Q: b) Calculate again an approximate value of the length L of the curve arc from the previous…

A: The distance (d) between two points (x1,y1) and (x2,y2) is given by the equation;…

Q: A line tangent to a circle is always to the radius drawn to its point tangency.

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y² = 5,…

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Q: GD and GF are common external tangents with points of tangency at D, C, F and E. Why is AGBF AGAE?…

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Q: . Consider point (a, b) on the graph of y = Inx and triangle ABC formed by the tangent line at (a,…

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Q: Suppose an arc of length s lies on the unit circle x + y = 1, starting at the point (1,0) and…

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Q: In R°, we have another option. We could consider a curve C being tangent to a surface S at some…

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Q: Given the cardioid r= 3(1+cosθ) 0 ≤ θ ≤ 2π Determine in wich points the cardiod has vertical…

A: Differentiate the equations r=31+cosθ and x=rcosθ with respect to θ, to find drdθ and dxdθ.…

Q: Construct the tangent lines from point P to circle O in the figure below. Type here to search

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 12)°, P(1, 13), Q(27, 21)

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Q: The lateral (side) surface area of a cone of height h and base radius r should be Ar v? +h?, the…

A: Consider the provided question, Given the line segment, y=rhx,  0⩽x⩽h Differentiate both side of…

Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: on of the tangent to y = 3e" + 3ex that is parallel to

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Q: R

A: Volume =1/3 * pi * r^2 * h

Q: Show that the length of the perpendicular from the foot of the ordi- nate of any point on the…

A: We know the equation to the tangent at the point (x0, y0) is y-y0 = m(x-x0), where m is the slope.…

Q: Prove that the curve given by the equations x=R(cost+tsint),y=R(sint−tcost) is the involute of the…

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Q: A landscape gardener decides that he wants to design a lawn split into a series of sectors with…

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Q: 4) The lemniscate curve (x² + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

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Q: For a horizontal circular curve with a radius of 500 feet, calculate the degree of curve (D) using…

A: Given: Radius, R=500  ft

Q: The equation of the tangent plane to the surfice. -yeV + = 0 at the point (0,1,1) is ar + by + cz =…

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Q: AC is tangent to circle O at point C. What is the measure of AOC?

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Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

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Q: Consider a semicircle of radius 1. Let l be the line segment from one endpoint of the semicircle to…

A: Consider a semicircle of radius 1. Let l be the line segment from one endpointof the semicircle to…

Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: Prove that the angle at the centre is twice the angle at the arc.

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Q: b. Consider the following diagram including a circle with center Q and radius of length 4. Consider…

A: given,       radius of the circle OA=OC= 4

Q: gments ST and SU are both tangent to circle V. If mZTVS = 74°, what is mzTSV? *

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Q: Find a formula for the distance from the point P(x, y, z) to the xz-plane

A: The distance between two points x1,y1z1 and x2,y2z2: d=x2-x12+y2-y12+z2-z12 The distance from the…

Q: A flat, very thin table has a circular hole with radius 1 and a circular hole with radius 2. The…

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Q: PRis tangent to circle Q at R, and PS is tangent to circle Q at point S. Determine mZQ. 42° P

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Q: 8 Find the distance from (1, 0) to (0, 1) along (a} a straight line (b) a quarter-circle (c) a…

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Q: A fence of height H is D feet away from a vertical wall. At what angle θ should a ladder be leaned…

A: Figure

Q: A circle having a radius of 4 cm is inscribed in a square section. Compute the radius (cm) of the…

A: A circle having a radius of 4 cm is inscribed in a square section. Compute the radius (cm) of the…