The Curve C has the equation 2x^2-11+13. The point Q lies on C such that the gradient of the normal to C at Q is -1/9. Find the x-co-ordinate of Q

The first ste here is the find the general equation for the gradient tangential to the curve. This is done by differentiation of the equation to give 4x-11=dy/dx. dy/dx is the gradient. Now we are given the gradient of the normal. As Mt*Mn=-1 we can find that the tangential gradient is 9. plugging this into the equation we can see that 4x-11=9. rearrage to find x so x=20/4 so x=5

Matthew H. GCSE Maths tutor, A Level Maths tutor, GCSE Chemistry tuto...

6 months ago

Answered by Matthew, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£18 /hr

Kilda C.

Degree: Medicine (Bachelors) - Oxford, New College University

Subjects offered: Maths, Physics+ 2 more


“Hello! I'm Kilda, I come from Belgium and I'm about to start my third year readingMedicine at the University of Oxford. I have been tutoring Science, Maths, Piano and Music Theory since 2011. When I am tutoring, or trying to learn som...”

£22 /hr

Roxane Z.

Degree: Mathematics and Philosophy (Bachelors) - Warwick University

Subjects offered: Maths, French


“3rd year Maths student and French native, very keen on helping you with both!”

£18 /hr

Karishma D.

Degree: Medicine (Bachelors) - Imperial College London University

Subjects offered: Maths, Chemistry+ 3 more

-Personal Statements-
-Medical School Preparation-

“Hi guys, I'm a first year medical student at Imperial College London. I chose this degree because it indulges my passion for science whilst allowing me to interact with people, putting what I learn in the lecture theatre into practise...”

About the author

£18 /hr

Matthew H.

Degree: Physics (Masters) - Liverpool University

Subjects offered: Maths, Physics+ 3 more

-Personal Statements-

“About Me  I am studying physics at the University of Liverpool and am now in my second year having passed with a first in all my modules last year. I really love all things science and have a real drive to pass on what I know to other...”

You may also like...

Posts by Matthew

A man decides to shoot a rifle whilst on a wheelchair. Explain in terms of conservation of momentum what happens to the man as the shot is fired.

Describe how a stationary wave is formed and some of its properties.

The Curve C has the equation 2x^2-11+13. The point Q lies on C such that the gradient of the normal to C at Q is -1/9. Find the x-co-ordinate of Q

The region R is bounded by the curve y=sqrt(x)+5/sqrt(x) the x-axis and the lines x = 3, x = 4. Find the volume generated when R is rotated through four right-angles about the x-axis. Give your answer correct to the nearest integer.

Other GCSE Maths questions

Factorise 15r+10

How can algebraic expressions be simplified?

How to find the roots of a Quadratic Equation by Factorising?

The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

View GCSE Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss