9 Questions
| Total Attempts: 99

Questions and Answers

- 1.The line
*y*=*x*–6 meets the curve x^2+y^2-6x+8y=0 at the points*A*and*B*. Find the length of*AB.*Give your answer in 3 significant figures. - 2.The vertices of a triangle are
*A*(-2,3),*B*(5,7) and*C*(4,0). Find the equation of the line through B parallel to*AC Give your answer in the form : y=mx+c with no spaces in between. Inpt the value of m and c as decimal.* - 3.This question is Part (i) of a main question. Do note down the information and the answer you have obtained here.
*ABCD*is a parallelogram, labeled anticlockwise such that*A*and*C*are the points (-1,5) and (5,1) respectively. Find the coordinates of the midpoint of*AC*. Give your answer as Eg '(1,2)' No spaces allowed - 4.
*This question is Part (ii) of a main question. Do note down the information and the answer you have obtained here.*ABCD is a parallelogram, labeled anticlockwise such that A and C are the points (-1,5) and (5,1) respectively. Given that BD is parallel to the line whose equation is 5x + y – 2 = 0, find the equation of BD.*Give your answer in the form : y=mx+c with no spaces in between.* - 5.
*This question is Part (iii) of a main question. Do note down the information and the answer you have obtained here.*ABCD is a parallelogram, labeled anticlockwise such that A and C are the points (-1,5) and (5,1) respectively. Given that BD is parallel to the line whose equation is 5x + y – 2 = 0, you have obtained the equation of BD previuosly. Given that*BC*is perpendicular to*AC*, find the equation of B*C*.*Give your answer in the form : y=mx+c with no spaces in between. Give the value of m and c in decimal.* - 6.
*This question is Part (iv) of a main question. Do note down the information and the answer you have obtained here.*ABCD is a parallelogram, labeled anticlockwise such that A and C are the points (-1,5) and (5,1) respectively. Given that BD is parallel to the line whose equation is 5x + y – 2 = 0, you have obtained the equation of BD and BC previously. Find the coordinate of B and D.*Give your answer as Eg '(1,2)and(3,4)' No spaces allowed.* - 7.
*A*(2, 6), B(9, 5) and*C*are points on a circle with diameter*AC*. Given that*AB = BC,*find the coordinates of point(s)*C. Give your answer as Eg '(1,2)' No spaces allowed.* - 8.Write down the coordinates of the centre of the circle x^2+y^2-2x-6y+1=1.
*Give your answer as Eg '(1,2)' No spaces allowed.* - 9.Find the equation of the circle whose centre is(-3,4) and touches the y-axis.
*Give in the form of ax^2+by^2+cx+dy+e=0.**No spaces allowed.*