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Chapter 10: Q55. (page 677)

Refer to Problem 54. Show that B2-4ACis invariant.

Short Answer

Expert verified

So,B2-4ACis invariant.

Step by step solution

01

Step 1. Given Information

We need to show thatB2-4ACis invariant.

02

Step 2. Explanation to invariant

From Q. 54

The equation is x2+4xy+4y2+55y+5=0

So, B2-4AC=42-4脳1脳5=-4

The rotated equation is 0x'2+5y'2-2.35x'+4.45y'+5=0

B2-4AC=02-4脳1脳1=-4

Both results are equal.

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Most popular questions from this chapter

Answer Problem using the figure.

If a = 4, then the coordinates of the focus are___________.

The graph of a parabola is given. Match graph to its equation.

A)y2=4xC)y2=-4xE)(y-1)2=4(x-1)G)(y-1)2=-4(x-1)B)x2=4yD)x2=-4yF)(x+1)2=4(y+1)H)(x+1)2=4(y+1)

In Problems 63鈥� 66, graph each function by hand. Be sure to label any intercepts

f(x)=-1+x2

In Problems 31鈥� 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21鈥�30 for Problems 31鈥� 40.

localid="1647365908255" x2+4xy+y2-3=0

The graph of a parabola is given. Match each graph to its equation.
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