The line x ky k 2 0, where k is a constant, is a tangent to the curve y 2 4x at the point P Find, in terms of k, the coordinates of P ...

We know that the equation of the tangent line to a curve at a given point x1 y1 is g ...

The line x + ky + k 2 = 0, where k is a constant, is a

Question:

The line x + ky + k² = 0, where k is a constant, is a tangent to the curve y² = 4x at the point P.
Find, in terms of k, the coordinates of P.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

See More Questions

Let f(x) = x4 + kx2, where k is a constant. Discuss the number of local extrema and the shape of the graph of f if (A) k > 0 (B) k < 0
The tangent line to a curve at a point closely approximates the curve near the point. In fact, for x-values close enough to the point of tangency, the function and its tangent line are virtually...
where k is a constant, v, is a constant velocity, and r = r- r|. Is the system conservative? Q.2 Examine whether the following forces are conservative or not, and, if so, determine the potential...
Determine whether each relation defines y as a function of x. Give the domain. Identify any linear functions. y = |x|
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation. b. Find its equation. c. Use two points to graph the equation. 1.5 and 0
Svahn, AB, is a Swedish manufacturer of sailing yachts. The company has assembled the information shown below that pertains to two independent decision-making contexts called Case A and Case B: Case...
The eye bolt is used to support the load of 5 kip. Determine its diameter d to the nearest 1/8 in. and the required thickness h to the nearest 1/8 in. of the support so that the washer will not...
1. Use descriptive statistics to summarize the data from the two studies. What are your preliminary observations about the depression scores? 2. Use analysis of variance on both data sets. State the...
1. Within 5.0 s of lift-off, a space shuttle reaches an altitude of 525 m, uniformly accelerating during the entire time. (a) What is its acceleration? (b) At what speed is the shuttle travelling...
1: Since the small island has been hurt by a downshift in tourism, we could help the economy by providing a one-time tax for the pollution. This would present an immediate Carbon Offset of...
A circle passes through the points (3, 2) and (7, 2) and has radius 22. Find the two possible equations for this circle.
Triangle ABC has vertices at A(6, 3), B(3, 5) and C(1, 4). Show that triangle ABC is isosceles and find the area of this triangle.
If you make guesses for four multiple-choice test questions (each with five possible answers), what is the probability of getting at least one correct? If a very lenient instructor says that passing...
1.Your auto insurance premium of $2200 is due today. You insurance company is giving you the "easy financing" option of making 12 monthly payments, with the 1st payment starting today. The interest...
Due to the fall out of Jim's actions, ITC Classmate asks Germ Destroyer to attempt to negotiate a resolution to their differences. Germ Destroyer offers to change the name and design of its product...
An 8 - year annuity due has a present value of $ 1 , 0 0 0 . If the effective annual interest rate is 5 % . then compute the value of the periodic payment
Clinical Coding Specialist Sample Position Description Initial Date: 01/01/2016 Review Date: Job Title: Clinical Coding Specialist Pay Grade: Non-Exempt, Grade IV Department: Health Information...
Consider the polynomial function f ( x ) = 1 4 . 7 5 x ^ 1 3 + 4 7 . 5 x ^ 1 5 - 4 6 . 7 5 x ^ 9 + 3 4 identify the constant term
Suppose that Hannah and Sam have the Cobb-Douglas production function Q = F(L,K) = 10L0.25K0.25 Both a worker and a unit of capital cost $1,000 per week. If Hannah and Sam begin by remodeling 100...
Suppose that A is an m n matrix with linearly independent columns and the linear system LS(A, b) is consistent. Show that this system has a unique solution.
Anya calls Zara once each evening before she goes to bed. She calls Zaras mobile phone with probability 0.8 or her landline. The probability that Zara answers her mobile phone is 0.74, and the...
A coin is biased such that the probability that three tosses all result in heads is 125/512. Find the probability of obtaining no heads with three tosses of the coin.
The diagram opposite shows a 30cm square board with two rectangular cards attached. The 15cm by 20cm card covers one-quarter of the 8cm by 12cm card. A dart is randomly thrown at the board, so that...
On 31 December 2020, the total account receivable for Beauty Enterprise is RM30,000, 5% of these debts are estimated to go bad in the foreseeable future. Required: iv. Calculate Allowance for...
If the total cost of producing 20 units of output is $1000 and the average variable cost is $35, what is the firm's average fixed cost at that level of output?
William acquires a $100,000 term life policy on his own life and then immediately assigns the policy to a registered charity. William plans on continuing to pay the $1,500 annual premium and is not...

The line x + ky + k 2 = 0, where k is a constant, is a

Question:

Step by Step Answer:

We know that the equation of the tangent line to a curve at a given point x1 y1 is g...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions