Using Algebra show that part of the line 3x + 4y = 0 is a diameter of the circle with equation (x^2) + (y^2) = 25

To show that the line is a diameter of the circle you muct show that it goes through the centre of the circle1) finding the centre of the circle. The general eqn is (x-a)2 + (y-b)2 = r2 , where r is the radius and (a, b) is the centre
to get x2 + y2 = 25 , centre must be the origin -> (x-0)2 + (y -0)2 = 25 x2 - 0x + 0 + y2 -0y + 0 = x2 + y2
2) then to prove it goes through line, sub (0, 0) into line equation 3x + 4y =0 -> (3x0) + (4x0) = 0
the line 3x + 4y = 0 goes through the centre of the circle and therefore must be a diameter

Answered by Emma L. Maths tutor

7156 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y - x = 1


The line y = x^2 -3x + 2 is reflected in the x-axis, find the equation of the new line that has been reflected.


There are 11 pens in a box. 8 are black and 3 are red. Two pens are taken out at random without replacement. Work out the probability that the two pens are the same colour.


Joe buy a pack of 7 chocolate bars. The pack costs £5.97, Joe sells all 7 chocolate bars for 87p each. Work out Joes percentage profit to 2 decimal places.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences