Two circles are given such that one iscompletely lying inside the other witho Prove that the locus ofthe center of variable circle which touches the sma outside and the bigger circle from inside is an ellipse

Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: A rectangle is to be inscribed inside a semi-ellipse + = 1, -2 <IS2 and 0 y S 3. Give a rough sketch…

A: Solution is here

Q: Define hyperbola with reference to algebra.

A: Define the hyperbola

Q: Tangents are drawn from the points on a tangent of the hyperbola x² - y² = a² to the parabola = 4ax.…

A: The tangent at point (asecθ, atanθ) on the hyperbolax2-y2=a2 is                    xsecθ-ytanθ=aAny…

Q: ái) Taka u flection in x- axis shift I unit opew and : y= -2 (x+3)*+1. S -1 -3 -2 -1 Vortical y…

A: topic - domain and range of parabola

Q: What is the minor radius of this ellipse?

A: Query- What is the minor radius of this ellipse. Answer- An ellipse is a plane curve surrounding two…

Q: A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is…

A:

Q: If all conics are defined in terms of a fixed point and a fixed line, how can you tell one kind of…

A: Solution: We have Conics: It is a locus of a point that moves in a plane, such that a ratio of its…

Q: Find the standard vertices of the ellipre X-

A: Here we have to find the standard equation of the hyperbola with the same vertices of the ellipse…

Q: =l a

A:

Q: Two circles are given such that one iscompletely lying inside the other without touching.…

A:

Q: Find the Orthogonal Trajectory of the Family of Centra Conics with common foci and axis.

A: Let us suppose the family of curves be given by the equation is:…

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: 4. Find the equation of the ellipse assuming the form + = 1 if distance between foci 4, between…

A: Use simple standard equation

Q: 3. ELLIPSE CENTER= (-1,2) MAJOR AXIS IS HORI ZONTAL AND HAS LENGTH OF IO PASSES THROUGH -1,5)

A:

Q: 1. Find the equation of a) a circle with center (2,-3) and passes through the point (5,-1). b) the…

A: a) Here given that center of circle is (2,-3). Since circle passes through the point (5,-1). So,…

Q: Find the locus of the midpoints of a focal chord of the ellipse…

A: The equation of the given ellipse is                                   x2a2+y2b2=1.

Q: 10.46.) A satellite orbits the planet Neptune in an elliptical orbit with the center of the planet…

A: Solve for the maximum distance between the satellite and the centre of the planet

Q: the graph of the equation X+kxy + 49y = 7 where k is any positive constant less than 14, is an…

A: Here comparing given equation with standard equation of graph

Q: Find the eccentricity of an ellipse\frac{x\power{2}|a\power{2}}+\frac{y\power{2}|b\power{2}}=1 whose…

A: