Question: The equation 5x 2 + 6xy + 5y 2 8 = 0 represents an ellipse whose centre is at the origin. By considering the

The equation 5x2 + 6xy + 5y2 – 8 = 0 represents an ellipse whose centre is at the origin. By considering the extrema of x2 + y2, obtain the lengths of the semi-axes.

Step by Step Solution

★★★★★

3.41 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x y is the square of the distance from the origin to ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

The equation x2 xy + y2 = 3 represents a rotated ellipse, that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the axis and show that...

Q:

The equation x2 - xy + y2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the -axis and show...

Q:

Using the fact that |z1 z2| is the distance between two points z1 and z2, give a geometric argument that (a) |z 4i| + |z + 4i| = 10 represents an ellipse whose foci are (0, 4); (b) |z 1| = |z +...

Q:

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

Q:

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Q:

Answer all the activities correctly CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that...

Q:

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Q:

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Q:

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Q:

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Q:

The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The companys cost analyst has concluded that utilities cost is a mixed cost, and he is...

Q:

Let x(n), 0 n N 1 be a finite-duration sequence, which is also real-valued and even. Show that the zeros of the polynomial X(z) occur in mirror-image pairs about the unit circle. That is, if z =...

Q:

You have two small herds of cattle: Angus ( early - maturing ) and Charolais ( late - maturing ) . Two steer, one from each herd, that have been fed and raised under identical conditions, are...

Q:

=+What is product bundling and why does it give rise to revenue-allocation issues?

Q:

The steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A is closed and the water pressure is 300 psi, determine the longitudinal and hoop stress developed...

Q:

The steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A is opened and the flowing water has a pressure of 250 psi as it passes point B, determine the...

Q:

A boiler is constructed of 8-mm-thick steel plates that are fastened together at their ends using a butt joint consisting of two 8-mm cover plates and rivets having a diameter of 10 mm and spaced 50...

Q:

Mastery Problem: Introduction to Managerial Accounting Able Baker Charlie Company Charles Maxwell is starting a cheesecake bakery, Able Baker Charlie Company, to produce and sell different flavored...

Q:

Baker Industries net income is $21,000, its interest expense is $6,000, and its tax rate is 25%. Its notes payable equals $23,000, long-term debt equals $80,000, and common equity equals $240,000....

Q:

Name three cause of catalyst deactivation and how they can be prevented?